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Rounding to the nearest 100 Worksheets

Welcome to our Rounding to the nearest 100 Worksheets page. Here you will find a wide range of free printable rounding Worksheets, which will help your child learn to round numbers to the nearest hundred.

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When you are rounding a number to the nearest 100, you are trying to find out which multiple of 100 your number is closest to.

How to round a number to the nearest 100

Look at the tens digit.

  • if it is less than 5 then round the number down by changing the tens digit and ones digit to zero;
  • if it is 5 or more then round the number up by adding one on to the hundreds digit and changing the tens and ones digit to zero.
  • 287 rounds up to 300 because the tens digit is 8.
  • 1629 rounds down to 1600 because the tens digit is 2.
  • 950 rounds up to 1000 because the tens digit is a 5.

Here you will find a range of free printable math worksheets to help your child learn to round numbers to the nearest hundred.

These sheets are carefully graded so that the easier sheets come first and give extra support.

The numbers in Sheets 1 to 4 go up to 1000. Sheet 5 goes up to 10,000.

Each sheets comes with a separate printable answer sheet.

Using these sheets will help your child to:

  • round numbers to the nearest 100;
  • practise rounding numbers to the nearest 10;
  • position numbers to 1000 on a number line.

All the free Rounding numbers Worksheets in this section support the Elementary Math Benchmarks.

Want to test yourself to see how well you have understood this concept?.

  • Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

  • Rounding to the nearest 10 and 100 Worksheets
  • Easier/Harder Rounding Worksheets
  • More related resources

Rounding to the nearest 10 & 100 Online Quiz

  • Rounding to the nearest 100 Sheet 1
  • Sheet 1 Answers
  • PDF version
  • Rounding to the nearest 100 Sheet 2
  • Sheet 2 Answers
  • Rounding to the nearest 100 Sheet 3
  • Sheet 3 Answers
  • Rounding to the nearest 100 Sheet 4
  • Sheet 4 Answers
  • Rounding to the nearest 100 Sheet 5
  • Sheet 5 Answers

Rounding Numbers to the nearest 10 & 100

  • Rounding to the nearest 10 & 100 Sheet 1
  • Rounding to the nearest 10 & 100 Sheet 2

Looking for something easier?

The rounding numbers worksheets in this section involve rounding numbers to the nearest 10.

They are at a more basic level than those on this page.

  • Rounding to the nearest 10 Worksheets

Looking for something harder?

The rounding numbers worksheets in this section involve rounding numbers to the nearest 1000.

They are at a more challenging level than those on this page, and involve rounding numbers to the nearest 10, 100 & 1000.

  • Rounding to the nearest 1000 worksheets
  • Rounding Decimals to the nearest whole

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Rounding Challenges to the nearest 10, 100 or 1000

Here is our rounding challenges collection which will give your child an opportunity to apply their rounding learning.

The challenges can be tackled individually or with a partner.

Each challenge involves using rounding knowledge and properties of numbers to work out the correct answer.

  • apply their knowledge of rounding to the nearest 10, 100 or 1000;
  • develop their problem solving skills;
  • develop their understanding about place value and properties of numbers.

All the rounding challenges support elementary math benchmarks.

  • Rounding Numbers Worksheet Challenges

Rounding Off Worksheet Generator

Here is our generator for generating your own rounding off numbers worksheets.

Our generator will create the following worksheets:

  • rounding off to the nearest 10, 100, 1000 or 10000
  • rounding to the nearest whole, to 1dp, or 2dp.
  • rounding off to 1sf, 2sf or 3sf
  • Rounding Off Numbers Worksheets

Online Rounding Practice Zone

In our Rounding Practice zone, you can practice rounding a range of numbers. You can round numbers to the nearest 10, 100 or even 1000. Want to round numbers to the nearest decimal place, you can do that too!

Select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

  • Rounding Practice Zone

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This quiz tests your knowledge and ability to round off numbers to the nearest 10 and 100.

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How to Round to the Nearest Hundredth—Step-by-Step Guide

How to Round to the Nearest Hundredth—Step-by-Step Guide

February 16, 2024 by Anthony Persico

How to Round to the Nearest Hundredth

Step-by-step guide: rounding to the nearest hundredth in 3 easy steps.

rounding to the nearest 100 problem solving

Free Step-by-Step Guide: How to round to the nearest hundredth.

Knowing how to round numbers, especially numbers involving decimals, is an incredibly useful math skill that will help you to work large and small numbers and estimate their values.

While rounding whole numbers can be relatively straightforward, the process gets a little trickier when decimals are involved. However, this guide will make sure that you are familiar with key vocabulary and our easy-to-follow three-step method for rounding numbers to the nearest hundredth. Once you learn to apply this method, you can use it to solve any problem where you are tasked with rounding to the nearest hundredth.

Are you ready to get started? The following free guide will teach you everything you need to know about rounding to the nearest hundredth including step-by-step explanations of solving several practice problems.

While we highly recommend that you read each section in order, you can use the quick links below to jump to a specific topic or section:

What does rounding a number mean?

What does rounding to the nearest hundred mean in terms of place value?

How to round to the nearest hundred in 3 simple steps?

Examples of rounding to the nearest hundredth

( Looking for help with rounding to the nearest tenth and rounding to the nearest thousandth ? )

Rounding a number is the process of rewriting a number to a value that closely estimates its actual value so that is easier to understand and perform operations on.

For example, if a large coffee costs $4.97, you could estimate the cost to be $5 even (this would be an example of rounding to the nearest whole number). If someone asked you how much money you would need to purchase six coffees, you could easily estimate the cost to be $30 (since 5 x 6 =30), rather than having to figure out the value of 4.97 x 6.

So, rounding is just a method of making larger or small numbers easier to work with.

rounding to the nearest 100 problem solving

Figure 01: An example of rounding is estimating that the cost of a $4.97 cup of coffee to be $5 since it is an easier number to work with.

When do you round down and when do you round up ?

Now that you understand what rounding means, it is important that you know the difference between situations when you have to round up and when you have to round down.

In the case of rounding, the number 5 is extremely significant.

RULE: If the number to the right of the number you are rounding is 5 or greater, then you must round up. If the number to the right of the number you are rounding is 4 or less, then you must round down.

This rule applies to rounding any whole number or decimal number. To help you to remember this rule, you can use the “rounding hill” shown in Figure 02 below to help you remember when to round up and when to round down.

If digit to the right of the number being rounded is 4 or less → round down

If digit to the right of the number being rounded is 5 or greater → round up

For example, if you wanted to round 58 to the nearest ten, the rounded answer is 60 since 8 (the number to the right of the tens digit) is 5 or greater, meaning you have to round up.

5 8 → 8 is 5 or greater, so round up → 60

On the other hand, if you wanted to round 43 to the nearest ten, the result would be 40 since 3 (the number to the right of the tens digit) is 4 or less, meaning you have to round down.

4 3 → 3 is 4 or less, so round down → 40

rounding to the nearest 100 problem solving

Figure 02: This illustration of a “rounding hill” can help you to remember when to round up and when to round down.

What does rounding to the nearest hundredth mean in terms of place value?

The last key topic that we have to review before we start working on some examples of rounding to the nearest hundredth is place value.

Definition: Place Value is the numerical value that a digit has based on its position in the number.

Consider the number 472.893

We can think of the number 472.893 as the sum of:

9 hundredths

3 thousandths

Just like the “rounding hill” in Figure 02 , you can use a place value chart, as shown in Figure 03 below, as a visual tool to help you to correctly identify the place values of digits in any given number.

▶ FREE DOWNLOAD: Blank Decimal Place Value Chart (PDF File)

Before moving forward, make sure that you have a strong understanding of place value and that you can correctly identify place values, especially for values to the right of a decimal sign.

rounding to the nearest 100 problem solving

Figure 03: You can use a place value chart to help you to correctly identify the place value of each digit in a number.

Keep Learning: Where is the hundredths place value in math?

Since this guide focuses on rounding to the nearest hundredth, here are a few examples of identifying the hundredths and thousandths place value digit for the following numbers.

5.279 → 7 is in the hundredths decimal place, 9 is in the thousandths decimal place

76.105 → 0 is in the hundredths decimal place, 5 is in the thousandths decimal place

0.444 → 4 is in the hundredths decimal place, 4 is in the thousandths decimal place

2,000.018 → 1 is in the hundredths decimal place, 8 is in the thousandths decimal place

rounding to the nearest 100 problem solving

Figure 04: How to identify the hundredths and thousandths decimal places in a given number.

How to Round to the Nearest Hundredth using 3 Simple Steps

Ready to work through some practice problems focused on rounding to the nearest hundredth?

For all of the practice problems in this guide, you can use the following 3-step process for rounding to the nearest hundredth:

Step One: Identify the value in the thousandths decimal place and ignore all numbers to the right of it

Step Two: Determine if the value in the thousandths decimal place is 5 or larger or 4 or smaller

Step Three: If the value in the thousandths decimal place is 5 or larger, round the number directly to the left (the value in the hundredths decimal place) up. If the value in the thousandths decimal place is 4 or smaller, round it down to zero.

If these three steps seam confusing at first, that’s okay. They will make more sense once you get some experience applying them to the following practice problems.

Example #1: Round to the Nearest Hundredth: 4.253

Starting off with our first example, we are tasked with rounding the number 4.253 to the nearest hundredth.

We can solve this problem by applying the 3-step method as follows:

For the number 4.253, the 3 is in the thousandths decimal place slot (and there are no additional numbers to the right of it).

rounding to the nearest 100 problem solving

Figure 05: For the number 4.253, the number 3 is in the thousandths place value slot.

For this example, 3 is in the thousandths place value slot and 3 is 4 or smaller , so we will have to round down in the third and final step.

In the last step, we determined that the value in the thousandths place value slot, 3, is 4 or smaller and that we have to round down. When rounding down, we turn that 3 in the thousandths place value slot into a zero, which effectively makes it disappear. Now, we can conclude that:

Final Answer: 4.254 rounded to the nearest hundredth is 4.25

The final answer to Example 1 (and the steps to solving it) is displayed in Figure 06 below.

rounding to the nearest 100 problem solving

Figure 06: When rounding down, the number in the thousandths decimal spot becomes a zero and disappears.

Example #2: Round to the Nearest Hundredth: 4.257

Notice that Example #2 is very similar to Example #1. The only difference is that, in this example, the value of the number in the thousandths place value slot is a 7 (rather than a 3).

Let’s go ahead and apply our 3-step method to see how this difference affects our answer.

For the number 4.257, the 7 is in the hundredths place value slot as illustrated in Figure 07 below.

rounding to the nearest 100 problem solving

Figure 07: The thousandths place value slot is three digits to the right of the decimal point.

As previously stated, for this example, the value of the number in the thousandths place value slot is a 7, which is 5 or larger .

Since the value in the thousandths place value slot is 5 or larger, we have to round up to solve this problem. When rounding up, we have to add one to number in the tenths place value slot (the number directly to the left of the number in the thousandths place value slot) and “zero out” the number in the thousandths place value slot.

Final Answer: 4.257 rounded to the nearest hundredth is 4.26

The entire process of solving this second example is illustrated in Figure 08 below.

rounding to the nearest 100 problem solving

Figure 08: 4.257 rounded to the nearest thousandth is 4.26.

Before we move onto more practice problems, Figure 09 below compares the first two examples. Be sure that you understand the difference between rounding up and rounding down before moving on.

rounding to the nearest 100 problem solving

Figure 09: Comparing Example #1 (rounding down) and Example #2 (rounding up). What do you notice?

Example #3: Round to the Nearest Hundredth: 88.7309

For this third example, notice that there is a digit in the ten-thousandths decimal place (the value four digits to the right of the decimal point). While this number, 88.7309 is larger than the numbers in the first two examples, you can still use the 3-step method for rounding to the nearest hundredth to solve it.

For the number 88.7309, the thousandths place value digit (the number three digits to the right of the decimal point) is 0. Remember that you can ignore any numbers to the right of the digit in the thousandths place value slot (which is the 9 in this example).

For the sake of rounding correctly, you can ignore the 9 and think of this number as 88.730.

rounding to the nearest 100 problem solving

Figure 10: Remember that you can ignore any numbers to the right of the digit in the thousandths place value slot.

Next, notice that 0 is in the thousandths place value slot. Clearly, 0 is 4 or smaller.

Since 0 is 4 or smaller , we will have to round down . Since 0 is already 0, we can just make it disappear and make the following conclusion:

Final Answer: 88.7309 rounded to the nearest hundredth is 88.73

This final answer is shown in Figure 11 below.

rounding to the nearest 100 problem solving

Figure 11: 88.7309 rounded to the nearest hundredth is 88.73.

Example #4: Round to the Nearest Hundredth: 29.48736

Similar to the previous example, 29.48736 includes numbers the right of the thousandths decimal place. Remember that you can ignore these numbers and use the three steps to solve this problem as follows:

For the number 29.48736, the number 7 is in the thousandths place value slot.

rounding to the nearest 100 problem solving

Figure 12: When rounding to the nearest hundredth, the number in the thousandths place value slot will determine if you have to round up or down.

Since 7, the number in the thousandths place value slot, is 5 or larger, we will have to round up in step three.

To round this number to the nearest hundredth, you must add one to the 8 in the tenths place value slot and zero out the 7.

Final Answer: 29.48736 rounded to the nearest hundredth is 29.49

The complete three-step process for solving example #5 is shown in Figure 13 below.

rounding to the nearest 100 problem solving

Figure 13: 90.352 rounded to the nearest tenth is equal to 90.4

Example #5: Round to the Nearest Hundredth: 8.495

By now, you should be a bit more comfortable with rounding to the nearest hundredth. Let’s continue on to work through two more examples where we will gain more experience using the 3-step method.

For this next example, we have to round the number 8.495 to the nearest hundredth.

For the number 9.495, the digit in the thousandths place value slot is 5, as shown in Figure 14 below.

rounding to the nearest 100 problem solving

Figure 14: How to Round to the nearest Hundredth: When the digit in the thousandths place value slot is 5 or larger, you have to round up.

Next, we can see that 5 (digit in the thousandths place value slot) is indeed 5 or larger.

Since 5 is 5 or larger , we will have to round up . The number directly to the left of the thousandths digit is a 9, so how do we round it up without turning it into a double-digit number? In the case of rounding up the number 9, you must turn it into a zero and add one to the number directly to its left (this process is illustrated in Figure 15 below).

Final Answer: 8.495 rounded to the nearest hundredth equals 8.50

rounding to the nearest 100 problem solving

Figure 15: 8.495 rounded to the nearest hundredth equals 8.50

Example #6: Round to the Nearest Hundredth: 64.01408

Here is our final practice problem for rounding to the nearest hundredth!

To solve it, let’s go ahead and apply our 3-step method as follows:

For this last problem, the digit in the thousandths place value slot is 4, as shown below in Figure 16 . Remember that all of the digits to the right of the 4 can be ignored.

rounding to the nearest 100 problem solving

Figure 16: Remember that, when it comes to rounding to the nearest tenth, you can ignore any additional numbers that come after the digit in the thousandths decimal slot.

Notice that the value in the thousandths place value slot is a 4, which is 4 or smaller.

Since the value in the thousandths place value slot is 4 or smaller, you can round it down to zero. Therefore, the 4 will disappear and we are left with the following result:

Final Answer: 64.01408 rounded to the nearest hundredth is 64.01

rounding to the nearest 100 problem solving

Figure 17: 64.01408 rounded to the nearest hundredth is 64.01

Conclusion: How to Round to the Nearest Hundredth

In math, it is important to know how to estimate and round numbers to make them easier to work with. This skill is especially important when it comes to working with decimal numbers.

By working through this step-by-step tutorial on rounding numbers to the nearest hundredth, you learned a simple 3-step process that you can use to round any number to the nearest hundredth. The 3-steps outlined in this guide are as follows:

Once you understand how to correctly apply these three steps, you can use them to solve any problem that requires you to round to the nearest hundredth. Using this method, we solved six different rounding practice problems where we had to round a given number to the nearest hundredth. Here is a quick review of our results:

4.253 → 4.25

4.257 → 4.26

88.7309 → 88.73

29.48736 → 29.49

8.495 → 8.50

64.01408 → 64.01

Need more help? If so, we suggest going back and working through this step-by-step guide again (practice makes perfect after all). You can also gain some more rounding practice by downloading some free topic-specific worksheets available on our free math worksheet libraries .

Keep Learning:

rounding to the nearest 100 problem solving

How to Round to the Nearest Thousandth (Step-by-Step Guide)

Continue your rounding journey by learning how to round to the nearest thousandth.

How to Factor a Trinomial in 3 Easy Steps

Rounding & Estimation Word Problems

Related Pages Math Worksheets Lessons for Fourth Grade Free Printable Worksheets

Printable “Rounding Numbers” Worksheets: Round Numbers using the Number Line Round to nearest 10 Round to nearest 100 Round to nearest 1000, 10000, 100000 Rounding Word Problems

Rounding Word Problems Worksheets

In these free math worksheets, students practice how to use rounding to estimate and check the answers to word problems.

How to use estimation or rounding? Estimation or rounding is a useful tool for checking answers because it allows you to quickly determine if an answer is reasonable or not.

Here are some steps you can follow to use estimation to check an answer: Step 1: Make sure you understand what you are being asked to find and what information you have been given. Step 2: Round any numbers given in the problem to the nearest whole number, or to the nearest ten, hundred, or thousand, depending on the level of accuracy needed. Step 3: Use mental math to perform calculations quickly. For example, if you need to add 23 and 45, round them both to 20 and 50 and add those instead. This will give you an estimate that is close to the actual answer. Step 4: Once you have an estimate, compare it to the actual answer you calculated. If the estimate is close to the actual answer, you can be confident that your calculation is correct. If the estimate is significantly different from the actual answer, you may need to review your work and make corrections.

By using estimation to check your answers, you can catch errors early and avoid making mistakes that could lead to incorrect results.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Rounding Word Problems Worksheets .

Rounding Word Problems Worksheet

More Rounding Word Problems Worksheets

Printable (Answers on the second page.) Rounding Worksheet #1 Rounding Worksheet #2 Rounding Worksheet #3 Rounding Worksheet #4 Rounding Worksheet #5

Online Round multi-digit number Worksheet #1

Rounding Multi-digit Numbers to any place value

Rounding Word Problems Use your estimated answer for part a) to check your answer for part b).

  • For the bake sale, Connie baked 144 cookies. Esther baked 49 more cookies than Connie. a. About how many cookies did Connie and Esther bake? Estimate by rounding each number to the nearest ten before adding. b. Exactly how many cookies did Connie and Esther bake?
  • Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents. How many tickets were sold to parents, teachers, and students? a. About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate. b. Exactly how many tickets were sold to parents, teachers, and students?
  • From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by 11,870 more than the population increase of Queens. a. Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011. (Round the addends to the nearest thousand to estimate.) b. Find the actual total combined population increase of Queens and Brooklyn from 2010 to 2011.
  • There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months? a. About how many hits (roud ro the nearest thousand) did the website have during January and February? b. Exactly how many hits did the website have during January and February?
  • On Sunday, 77,098 fans attended a New York Jets football game. The same day 3,397 more fans attended a New York Giants game than the Jets game. How many football fans watched the Jets and Giants play on Sunday? a. Round each number to the nearest thousand to find an estimate of how many fans there are. b. What was the actual number of fans who watched the games?

Related Lessons & Worksheets

Round to nearest 10 (2-digit) (eg. 45 -> 50) Round to nearest 10 (3-digit) (eg. 725 -> 730) Round to nearest 100 (3-digit) (eg. 651 -> 700) Round to nearest 10 or 100 (3-digit)

Round to nearest 100 (4-digit) (eg. 2,754 -> 2,800) Round to nearest 1000 (eg. 3,542 -> 4,000) Round to nearest 10, 100, 1000

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Rounding to the Nearest Hundred

Download and print files on Rounding to the Nearest Hundred. Includes a Scoot game, printable lessons, a math riddle worksheet, a foldable fortune teller, and several worksheets.

Rounding Nearest Hundred - Worksheets

Nearest Hundred (3-Digit Numbers Only)

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Nearest hundred (3 and 4-digit numbers), nearest tens & hundreds mixed.

Choose for a large selection of PDF rounding charts, worksheets, and task cards on rounding to the nearest ten.

We also have some worksheets on rounding to the nearest thousand.

STW has a mammoth collection of place value worksheets for all levels.

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Round to the Nearest Hundred Calculator

What is a hundred, how to calculate the rounding to the nearest hundred, examples of calculations of the rounding to the nearest hundred, more or less than hundreds: other rounding tools at omni.

Omni's round to the nearest hundred calculator will give you the answer to the question, "what is the round hundred closer to a number?".

With this short article, you will learn:

  • How to calculate the nearest hundred rounding;
  • The various ways to round to the nearest hundred; and
  • Examples of rounding to the nearest hundred.

We are sure it will be enough to teach you how to perform this easy approximation.

A hundred is a digit in the third place of the decimal system positional notation . The digits before are the units and the tens , and the following are the thousands .

In each hundred, you can find ten tens and one hundred units (surprised?): this is the magic of the decimal system.

Hundreds are the numbers that start to become hard to grasp. As humans, we live on their edges; for example:

  • Our elders live to see one hundred years;
  • Our countries span (in most cases) a few hundred kilometers (or miles );
  • A hundred people is a sizeable crowd;
  • We use a hundred as a scale in the calculations of percentages ;

And so on! Thousands feel too big!

The first positive hundred is 100 100 100 , followed suit by 200 200 200 , and so on. 0 0 0 is still a hundred, just a weird one . We can also move to the negative numbers: there, we have − 100 -100 − 100 , − 200 -200 − 200 , etc. There are 99 99 99 numbers between two neighboring hundreds. Which one is the closest to each number? Let's discover it with Omni's round to the nearest hundred calculator!

If you want to learn how to calculate the rounding to the nearest hundred, you first have to make a choice: how do we put fifty ?

Five (and its decimal multiples and submultiples) is a tricky number in all roundings, and the calculations of the rounding to the nearest hundred are no exception . Since fifty is halfway through neighboring hundreds , we need to decide to which one we will assign it.

  • The standard way is to assign 50 50 50 to the higher hundreds . We call this procedure half-up rounding , and it gives us the following result: 250 → 300 250\rightarrow 300 250 → 300 .
  • The half-down rounding is the opposite way to round to the nearest hundred, and it returns the lower hundreds when you deal with fifties.
  • You can choose a different behavior for positive and negative hundreds, or even decide to round always in the same direction .

Knowing this, let's perform the rounding in the most common way. Take any number, and consider the last two digits . If that number is lower than 50 50 50 , then reduce the number to the lower hundred; if the number is higher than 50 50 50 , round to the higher hundred. If the number is 50 50 50 , consider the rules above!

How do we calculate the rounding of 980 to the nearest hundred? Consider the two digits to the right: 80 . Are they higher than 50 ? Yup: so to round 980 , we simply write 1000 . Notice that in this case, the digits of the hundred are 0 ! Another example: let's round 40 to the nearest hundred: the answer is 0 since the two rightmost digits are lower than 50 .

And to conclude, why not round 550 to the nearest hundred? What do we do with that fifty? If we chose half-up rounding, the answer is 600 .

There are more ways to round a number than you usually need! Omni covered them all (at least, we think so: leave us a message if you think we can do better) in this useful collection of tools:

  • Rounding calculator ;
  • Round to the nearest thousand calculator ;
  • Round to the nearest thousandth calculator ;
  • Round to the nearest ten calculator ;
  • Round to the nearest hundredth calculator ;
  • Round to the nearest tenth calculator ;
  • Round to the nearest integer calculator ;
  • Round to the nearest dollar calculator ;
  • Round to the nearest cent calculator ; and
  • Round to the nearest penny calculator .

How do I round to the nearest hundred?

To calculate the rounding to the nearest hundred, follow these easy steps:

  • Take your number and consider the last two digits .
  • If the last two digits are lower than 50 , round to the lowest hundred .
  • If the last two digits are higher than 50 , round to the higher hundred .
  • If you get 50 , you can choose which direction to round. In general, assign the number to the higher hundred .

How do I round 248,682 to the nearest hundred?

To round 248,682 to the nearest hundred:

  • Take the two rightmost digits . In this case, 82 .
  • Check if they are higher or lower than 50 . In this case, 82>50 .
  • Since we are in the upper half of the hundred, round 248,682 to 248,700 , the higher hundred.

How do I round a decimal number to the nearest hundred?

To round a decimal number to the nearest hundred, simply drop the decimal part (don't round it, just ignore it) and follow the normal procedure to round a number to the nearest hundred.

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Course: 3rd grade   >   Unit 3

  • Rounding to the nearest 10 on the number line
  • Rounding to the nearest 100 on the number line
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Video transcript

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Calculator   Soup ®

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Rounding Numbers Calculator

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Calculator Use

Rounding calculator to round numbers up or down to any decimal place. Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent.

Rounding Numbers

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

  • Rounding to the nearest hundred is 800
  • Rounding to the nearest ten is 840
  • Rounding to the nearest one is 838
  • Rounding to the nearest tenth is 838.3
  • Rounding to the nearest hundredth is 838.27

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

  • Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
  • Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
  • If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.
  • If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

New Content: Rounding Method of this Calculator

This Rounding Numbers Calculator uses the method called Round Half Away From Zero. An explanation of this and other rounding methods can be found on our Rounding Methods Calculator page .

Rounding Half Away From Zero

Round halfway values away from zero. When the digit to the right is 5, this is the halfway value between rounding up or down. For the following examples let's round to the ones place for values between 2 and 3 where the halfway point is 2.5. In this method, whether you round a positive or a negative number, the absolute value of the results are the same. You can see this symmetry around zero by comparing the positive and negative results. If your number to round is negative you can round the digits as you would for rounding a positive number.

For positive numbers:

Numbers less than the halfway point between 2 and 3, which is 2.5, round down, toward 0. Numbers greater than or equal to the halfway point between 2 and 3 round up, away from 0.

  • 2.4 rounds down to 2
  • 2.48 rounds down to 2
  • 2.5 rounds up to 3 halfway, up and away from 0
  • 2.52 rounds up to 3
  • 2.6 rounds up to 3

For negative numbers:

Numbers greater than the halfway point between -3 and -2, which is -2.5, round up, toward 0. Numbers less than or equal to the halfway point of -2.5 round down, away from 0.

  • -2.4 rounds up to -2
  • -2.48 rounds up to -2
  • -2.5 rounds down to -3 halfway, down and away from 0
  • -2.52 rounds down to -3
  • -2.6 rounds down to -3

Round to the Nearest Hundred: 3250

  • Identify the hundreds digit: the 2 in 3250
  • Identify the next smallest place value: the 5 in 3250
  • Is that digit greater than or equal to five? Yes, so round up.
  • Increase the hundreds digit by one, so 2 becomes 3. Every digit after becomes a zero.

3250 rounded to the nearest hundred is 3300

Round to the Nearest Ten: 323.5

  • Identify the tens digit: the 2 in 323.5
  • Identify the next smallest place value: the 3 in 323.5
  • Is that digit greater than or equal to five? No, so round down.
  • The tens digit stays the same at 2. Every digit after becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is 320

Round to the Nearest Ten: 499

  • Identify the tens digit: the first 9 in 499
  • Identify the next smallest place value: the second 9 in 499
  • The tens digit increases by one. Since 9+1=10, you need to carry the 1 and add it to the digit in the hundreds place. Each digit after becomes a zero.

499 rounded to the nearest ten is 500

Round to the Nearest Tenth: 0.74

  • Identify the tenths digit: 7 in 0.74
  • Identify the next smallest place value: the 4 in 0.74
  • The tenths digit stays the same at 7. Since the remaining digits are after the decimal point you just drop them.

0.74 rounded to the nearest tenth is 0.7

Round to the Nearest Hundredth: 3.141

  • Identify the hundredths digit: the 4 in 3.141
  • Identify the next smallest place value: the second 1 in 3.141
  • The hundredths digit stays the same at 4. Drop the digits to the right of 4.

3.141 rounded to the nearest hundredth is 3.14

Related Calculators

To learn how to round a number to the nearest multiple see our Round to Nearest Multiple Calculator . Round to multiples of whole numbers or decimals such as tenths, hundredths, thousandths, etc.

Further Reading

About.com on How to Round Numbers

MathPlayground: How do you Round?

Math.com has several lessons on estimating and rounding .

Cite this content, page or calculator as:

Furey, Edward " Rounding Numbers Calculator " at https://www.calculatorsoup.com/calculators/math/roundingnumbers.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 21, 2023

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9 Free Rounding to the Nearest 100 Worksheet | Fun Activities

These rounding to the nearest 100 worksheet will help to visualize and understand rounding numbers to the nearest 100 and number systems. 3rd-grade students will learn basic number rounding methods and can improve their basic math skills with our free printable rounding numbers worksheets.

9 Exciting Rounding to the Nearest 100 Worksheet

Please download the following rounding number worksheets and practice rounding on the pages.

Rounding to the Nearest 100 Worksheet Box Image

Number Line

Matching Game

Bubble Game

Caterpillar Game

Justify Statements

Multiple Choice

Math Riddles

Word Problems

Round to 10 & 100

Tips to Round a Number to the Nearest 100

Sometimes, you have to round a number in various mathematical problems. So, knowing the tips and tricks will make it easier for you to rounding.

Before going into our worksheets, let’s look at the following tips for rounding a number to the nearest 100. Understand these tips carefully, as they will be needed to solve all the problems given in the later discussion.

  • Take a number, whether it is a two-digit or a three-digit one.
  • See the digits of the Tens place of that number.
  • If the digit in the Tens place is less than 5, then to round that specific number you have to change the digit in the Tens place and Ones place to 0.
  • For example, look at the number 825. Here, the digit in the Tens place is 2, which is less than 5. So, to round this number, we will change both the numbers of Tens place and Ones place to 0. After rounding, 825 will become 800.
  • Now, if the number in the Tens place is equal to 5 or more than 5, then you not only have to change the Tens and Ones place’s digit to 0 but also have to add 1 with the digit in the Hundreds place.
  • For example, take the number 675. As the digit of Tens place is 7, which is more than 5, adding 1 to the Hundreds place and changing the later digits into 0, we get 700 after rounding up 675 to its nearest 100.

Rounding to the Nearest 100 on a Number Line

In the number lines below, some numbers are given. A number line is provided after each of the numbers.

Mark the number in the number line and circle the nearest 100 of that number after rounding.

Matching 3 Digit Number to the Nearest 100

Some three-digit numbers are given in the following worksheet. Also, some numbers that are multiples of 100 are given.

Your job is to find the nearest 100 for each of the numbers and draw a line to match them.

Rounding Numbers to Nearest 100 Bubble Game

Look at the following bubbles. In the center of each bubble, a clue is given.

You have to write four numbers that match the given clue. In this way, fill all the bubbles to finish this exciting activity.

Caterpillar Game for Rounding Number to the Nearest 100

See the caterpillars gathered in the following worksheet. Everyone has a number in each of their body segments.

Your task is to round them up to the nearest 100 and write them under the given numbers.

Rounding Number to Nearest 100 True or False Statement

Some statements on rounding the number to the nearest 100 are given at the end of this discussion.

Read each of the statements carefully and write True or False based on that statement.

Nearest 100 Rounding Multiple Choices

From the given numbers in the questions, find the nearest 100 of that number after rounding, and mark that answer in the given choices.

Rounding Number Math Riddles

You have to build a name from the clues after rounding certain numbers. Each of the numbers after rounding will give you an alphabet as a clue.

Rearrange these alphabets after rounding all the numbers and finding the desired text.

Rounding Number Word Problems

Some simple word problems based on rounding numbers are given in this section. Read each of the problems carefully and solve them to round all the numbers.

Rounding Numbers to 10 &100

Here, we are going to round numbers based on two criteria. The first one is to round numbers to the nearest 10 , and the second one is to round numbers to the nearest 100.

I hope this will help you enhance your skill at rounding numbers.

Download Free Worksheet PDF

Download the following combined PDF and enjoy your practice session.

So today, we’ve discussed rounding to the nearest 100 worksheet using the concepts of rounding numbers, place value of a digit in a number, guessing number position on a number line, and some interactive matching games, multiple choices, math riddles, and word problems. Download our free worksheets, and after practicing these worksheets, students will surely improve their mathematical skills and have a better understanding of rounding numbers.

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Round Numbers to the Nearest 100 Worksheets for Kids

Browse interactive round numbers to the nearest 100 worksheets for kids online and make your child's practice sessions fun and exciting. These round numbers to the nearest 100 worksheets engage children's cognitive processes and help enhance their creativity and memory retention skills. Get started now to make learning interesting for your child!

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Identify 3-Digit Numbers Using Clues Related to Rounding - Worksheet

Identify 3-Digit Numbers Using Clues Related to Rounding Worksheet

A worksheet for mastering the identification of 3-digit numbers using rounding clues.

Identify Numbers That Round to the Given Multiple of 100 - Worksheet

Identify Numbers That Round to the Given Multiple of 100 Worksheet

This worksheet tests your skills in identifying numbers that round to certain multiples of 100.

Round Numbers to Nearest 100 and Sort - Worksheet

Round Numbers to Nearest 100 and Sort Worksheet

A worksheet focused on rounding numbers to the nearest 100 and sorting them in order.

Rounding 3-Digit Numbers to the Nearest 100 - Worksheet

Rounding 3-Digit Numbers to the Nearest 100 Worksheet

Boost your math skills with this worksheet on rounding 3-digit numbers to the nearest 100!

Previous and Next Hundred on a Number Line Worksheet

Previous and Next Hundred on a Number Line Worksheet

Reinforce math concepts by identifying the previous and the next hundred on a number line.

Mark the Previous and Next Hundred on Number Line Worksheet

Mark the Previous and Next Hundred on Number Line Worksheet

Reveal the secrets of math wizardry by marking the previous and the next hundred on the number line.

Round to the Nearest Hundred Worksheet

Round to the Nearest Hundred Worksheet

Help your child revise number sense by solving to round off to the nearest hundred.

Round off to the Nearest Hundred Worksheet

Round off to the Nearest Hundred Worksheet

Focus on core math skills with this fun worksheet by solving to round off to the nearest hundred.

Numbers That Rounds to 500 When Rounded to Nearest Hundred - Worksheet

Numbers That Rounds to 500 When Rounded to Nearest Hundred Worksheet

Identify and highlight all the numbers in the worksheet that round off to 500 when rounded to the nearest hundred.

Numbers That Rounds to 100 When Rounded to Nearest Hundred - Worksheet

Numbers That Rounds to 100 When Rounded to Nearest Hundred Worksheet

Identify and highlight numbers that round up or down to 100 in this engaging math worksheet.

Mark the Hundreds to Place the Number Game

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Place Value Workbook for Grade 1

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Rounding Worksheets

Rounding worksheets for grades 1-5.

Our rounding worksheets provide practice in rounding numbers to different place values (nearest ten, nearest 100, ...). In later grades the exercises are similar, but with larger numbers.

Choose your grade / topic:

Grade 1: Rounding worksheets

Grade 2: Rounding worksheets

Grade 3: Rounding worksheets  

Grade 4: Rounding worksheets

Grade 5: Rounding worksheets

Topics include:

Grade 1 rounding worksheets

  • Rounding numbers to the nearest 10

Grade 2 rounding worksheets

  • Rounding numbers to the nearest 10 within 0-100
  • Rounding numbers to the nearest 10 within 0-1,000
  • Rounding numbers to the nearest 100 within 0-1,000
  • Rounding numbers to the nearest 10 or 100 within 0-1,000

Grade 3 rounding worksheets

  • Rounding numbers to the nearest 100 within 0-10,000
  • Mixed rounding - round to the underlined digit (10's, 100's)
  • Mixed rounding - round to the underlined digit (10's, 100's, 1000's)

Grade 4 rounding worksheets

  • Rounding numbers to the nearest 1,000 within 0-10,000
  • Rounding numbers to the nearest 10,000 within 0-1,000,000
  • Mixed rounding - round to the underlined digit
  • Estimating and rounding word problems

Grade 5 rounding worksheets

  • Rounding numbers to the nearest 10 within 0-10,000
  • Rounding numbers to the nearest 100 within 0-1,000,000
  • Rounding numbers to the nearest 1,000 within 0-1,000,000
  • Mixed rounding - round to the underlined digit (up to nearest million)

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  • 2.263\:rounded\:to\:the\:nearest\:hundredth
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Math Interventions

Introduction.

  • Subitizing Interventions
  • Counting Interventions: Whole Numbers Less Than 30
  • Counting Interventions: Whole Numbers Greater Than 30 (Place Value)
  • Counting Interventions: Fractions
  • Counting Interventions: Decimals
  • Composing and Decomposing Numbers Interventions
  • Rounding Interventions

Response to Error: Rounding Numbers

Feedback during the lesson, strategies to try after the lesson.

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Another way to develop a student's understanding of quantity is to teach him to round numbers. Rounding numbers to the nearest ten or hundreds place is a foundational skill that will enable a student to estimate solutions to numerical operations (for example, 52 + 46 is close to 50 + 50, so the answer will be close to 100). This page includes intervention strategies that you can use to support your students in this area. As you read, consider which of these interventions best aligns with your student's strengths and needs in the whole-learner domains.

Explicit Instruction

If you are intervening to reinforce your student's ability to round numbers, you should start by explicitly teaching the skill. This sounds like:

  • Explain the Skill/Concept.  Define rounding, and explain activity. ( "Rounding numbers means that we figure out an easier number to work with that has a similar value to the number we start with. If working with two-digit numbers, we might round to the nearest ten. If working with three-digit numbers, we might round to the nearest 100." "Today, we are going to learn strategies for rounding to the nearest ten." )
  • Model Skill with Examples.  Think aloud about how to round a number.  ( "If I have a number, such as 36, I have to ask myself: Is 36 closer to or just about the same as 30 or 40. I can look at 36 on a number line to figure this out. When I look at 36 on a number line, I can see that it's closer to 40 than to 30, so I should round up to 40 because 36 is just about the same as 40." )
  • Model Skill with Non-Examples.  Think aloud about how to round a number incorrectly. ( "What if I rounded 36 down to 30? This number is actually further from 36 than 40 is , s o rounding down gives me a less accurate estimation than rounding up to 40. Rounding to the closest ten will be especially important as we complete operations with these numbers." )
  • Practice the Skill.  Engage in one or more of the activities below to practice the skill with your student, providing feedback as necessary. ( "Now you try. I'm going to show you..." )

Note:   The number 35 is halfway between 30 and 40, so the above strategy of seeing which decade number the number is closest to won't work. In this case, you need to teach the exception to the rule. Anytime you see a 5 in the place to the right of the digit you're rounding to, you round up. 

Activity A: Rounding with Number Lines or Hundreds Charts If your student is able to count with a number line or hundreds chart but struggles to round numbers to the nearest 10, teach him Rounding with Number Lines or Hundreds Charts (Petti, 2017). In this strategy, a teacher uses a number line or a hundreds chart to help a student conceptualize if the nearest ten is bigger or smaller than the number being rounded (for example, is 36 closer to 30 or 40?). To do this, the teacher gives the student a number, such as 36, and has him quantify the distance between 30 and 36 (6 spaces on the number line). Then, she has him quantify the distance between 36 and 40 (4 spaces on the number line). Then, the student has to decide which one is closer (40), which will be the decade number that the number should be rounded to. Note: This intervention can also be used to teach rounding to the nearest hundred, as long as students are able to skip count by 10s.

Rounding with Number Lines or Hundreds Charts in Action  Note: For purposes of clarity, the example below focuses on using a number line to teach this intervention. 

Teacher: We are going to practice rounding a number to the nearest ten. I'll give you a number, and then you'll figure out whether it should be rounded to the ten below it or above it by figuring out which is closer. You'll figure it out by counting the spots from your number to the others. Your number is 36. First, how far is 36 from 30?

Student: [Starting at the number 30 and pointing to each tally on the number line up to 36.] 1, 2, 3, 4, 5, 6... It's 6. 

Teacher: Now count from 36 up to 40.

Student: 1, 2, 3, 4... It's 4 units away. So 36 is closer to 40 than 30! We'd round 36 up to 40!

Petti, W. (2017). Mathcats: Rounding idea bank. Retrieved from http://mathcats.org/ideabank/rounding.html

Activity B: Rounding with Base Ten Blocks If your student has learned how to use base ten blocks but struggles to round numbers to the nearest 10 or 100, use these tools to teach rounding (Petti, 2017). In this intervention, a teacher gives a student a number (such as 36) and also a group of base ten blocks that represent that number. Then, she has the student line up the blocks and count how many blocks 36 is from 30 (6) or 40 (4) and decide which one is closer. This intervention can also be used to show that 5 is the cutoff point. In other words, if a student has a number that ends with 35, it is equally close to 30 or 40. However, if the number ends with a number less than 5, it is closer to the lower number (so the student should round down), and if it ends with a number greater than 5, it is closer to the upper number (so he should round up). 

Rounding with Base Ten Blocks in Action Teacher: I'd like you to round 36 to the nearest ten. To do this, line up your base ten blocks, and see if 36 is closer to 30 or 40.  Student (after lining up blocks): Well, I can count the spaces between 36 and 30, and I'd need to take away 6 blocks. But if I count the spaces between 36 and 40, I'd only need to add 4 blocks. So, that must mean that 36 is closer to 40. That means I would round up.

Activity C: Teach and Practice the Rules Once a student has developed a conceptual understanding of what rounding means and is able to round to the nearest 10, you can teach him to round numbers to the nearest 100 or 1000. When she is rounding to the nearest 100, teach the student to look at the tens place to figure out which hundred the number is closer to (for example, in 126, there is a 2 in the tens place, so 126 is closer to 100 than 200). When she is learning how to round to the nearest 1000, teach the student to look at the hundreds place to round up or down (for example, in 1720. there is a 7 in the hundreds place, so 1720 is closer to 2000 than 1000. The student would round up to 2000). As the student builds fluency with this concept, teach her the rules below. 

The rules are as follows:

  • If the number you are rounding ends with 5, 6, 7, 8, or 9, round up!
  • If the number you are rounding ends with 1, 2, 3, or 4, round down!

Teach and Practice the Rules in Action Teacher: Now that we have learned to round to the nearest 10, we are going to practice rounding to the nearest 100. The rules are the same, but there is one big difference: when we round to the nearest 100, we look at the tens place, not the ones place, to figure out which 100 the number is closest to. What place do we look at?

Student: The tens place. 

Teacher: Great! In the number 126, which is the tens place?

Student: The second number, 2, is in the tens place. 

Teacher: So, should we round 126 to 100 or 200?

Student: 100.

Teacher: Why?

Student: Because 20 is closer to 0 than to the next 100.

Teacher: I wonder if that's a rule — "If there's a two in the place you're rounding, you'll always round down." Let's test that rule! 

Baker, K. (2019, February 16).  How to Teach Rounding So Students Actually Understand . Teaching Made Practical. https://teachingmadepractical.com/teaching-rounding-so-students-understand/

Activity D: Estimating when Performing Operations  Once a student has mastered rounding to the nearest ten, hundred, and thousand, he can estimate numbers to get an approximate answer when performing operations (Petti, 2017). This will help a student get a general sense of the answer before he completes the problem using the exact numbers. In order to estimate when adding, subtracting, multiplying, or dividing, the teacher teaches the student to round all the numbers in the problem and then solve it. The place that the student will round to depends on the number of digits the numbers contain. Here are some guidelines:

  • Addition example: 42 + 64 = 40 + 60
  • Subtraction example: 58-12 = 60-10
  • Multiplication example: 62 x 13 = 60 x 10
  • Division example: 24/13 = 20/10
  • Addition example: 426 + 643 = 400 + 600
  • Subtraction example: 585-122 = 600-100
  • Multiplication example: 626 x 132 = 600 x 100
  • Division example: 246/134 = 200/100
  • Addition example: 4264 + 6433 = 4000 + 6000
  • Subtraction example: 5854-1223 = 6000-1000
  • Multiplication example: 6264 x 1322 = 6000 x 1000
  • Division example: 2465/1341 = 2000/1000

Estimating when Performing Operations in Action Teacher: Now that we have learned to round numbers, we are going to practice this strategy to get an estimate of an answer when solving a problem. Right now, we'll practice rounding with addition problems. If my problem was 42 + 64, I would round to the nearest ten to estimate my answer. By rounding before I solve the problem, I have an idea of what my actual answer will be close to. This will help me check that my answer is correct.

Teacher: So, I'll round 42 to 40 and 64 to 60, which makes the new problem: 40 + 60. Because I've rounded, I can quickly solve this problem in my head: 40 + 60 is 100. This means that my actual answer will be close to 100!

Teacher: Let me check. 42 + 64 = 106. Is that close to 100? Yes!

Teacher: Now, you'll try rounding numbers to solve addition problems.

Activity E: Rounding Decimals Once a student has been introduced to decimals, he can learn similar rules for rounding decimals. In order to carry out this process, he must demonstrate a strong understanding of place value, as well as the ability to round numbers to ten, hundred, and thousand. In this strategy, a student focuses on rounding the numbers after the decimal place. However, instead of rounding to the nearest ten, hundred, or thousand, the student rounds to the nearest ten th , hundred th , or thousand th , which is how place value is described for numbers behind the decimal point. When learning to round to the nearest tenth, the teacher teaches the student to look at the hundredths place to figure out whether to round up or down (for example, in 0.16, there is a 6 in the hundredths place, so the student would round to up to 0.2). When learning how to round to the nearest hundredth, the teacher teaches the student to look at the thousandths place (the number to the right of the hundredths place) to round up or down (for example, in 0.727 there is a 7 in the thousandths place, so the student would round up to 0.73). When rounding decimals, the same rules apply:

Rounding Decimals in Action Teacher: Now that we have learned about decimals, we are going to practice rounding decimals so that we can estimate the solutions to problems that include decimals. The rules are the same, but there is one big difference: when we round numbers located behind the decimal points, we look at the tenths, hundredths, or thousandths place, not the tens, hundreds, or thousands place. What place do we look at?

Student: The tenths, hundredths, or thousandths place. 

Teacher: We know that the tenths place is the first number after the decimal, the hundreds is the second number behind the decimal, and the thousandths number is the third place behind the decimal. If I asked you to round 0.25 to the nearest tenth, you would look at the number in the 100s place and decide whether to round up to the bigger tenth or down to the smaller tenth. What digit is in the hundredth place?

Student: 5. So I should round up to .3.

Teacher: Why? 

Student: Because .25 is exactly between .2 and .3— if it's exactly in the middle, you always round up. 

Think about the following scenario, which takes place after a teacher has explicitly taught a student strategies for rounding numbers.        Teacher: " Can you round 36 to the nearest ten? "        Student: " 36. Let's see. It's closer to 30 because it has a 3 in the front. "

In such a case, what might you do? 

When you are planning your lessons, you should anticipate that your student will make errors throughout. Here are a series of prompts that you can use to respond to errors. Keep in mind that all students are different, and that some students might respond better to some types of feedback than to others.

If your student struggles to meet your objective, there are various techniques that you might try in order to adjust the activity so as best to meet your student's needs. 

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Rounding Calculator

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

Rounding Methods

There are various rounding definitions that can be used to round a number. The calculator defaults to rounding to the nearest integer, but settings can be changed to use other rounding modes and levels of precision. All the rounding modes the calculator is capable of are described below.

Round half up:

This rounding method is one of the more common rounding methods used. It means rounding values that are halfway between the chosen rounding precision up. For example, when rounding to the ones place:

When the value being rounded is negative, the definition is somewhat ambiguous. Some round -5.5 to -5, some round to -6. We agree here the "up" can be thought of as rounding values that are halfway towards the bigger or more positive value. For example, when rounding to the ones place:

Round half down:

Rounding half down is similar to rounding half up, except that it means rounding values that are halfway between the chosen rounding precision down, rather than up. For example, when rounding to the ones place:

In the case of negative numbers, same as rounding half up, the definition is ambiguous. We agree here rounding half down can be thought of as rounding values that are halfway towards the smaller or more negative value. For example, when rounding to the ones place:

Round up (ceiling):

Rounding up, sometimes referred to as "taking the ceiling" of a number means rounding up towards the nearest integer. For example, when rounding to the ones place, any non-integer value will be rounded up to the next highest integer, as shown below:

In the case of negative numbers, rounding up means rounding a non-integer negative number to its next closest, more positive integer. For example:

Round down (floor):

Rounding down, sometimes referred to as "taking the floor" of a number means rounding down towards the nearest integer. For example, when rounding to the ones place, any non-integer value will be rounded down to the next lowest integer, as shown below:

In the case of negative numbers, rounding down means rounding a non-integer negative number to its next nearest, more negative integer. For example:

Round half to even:

Rounding half to even can be used as a tie-breaking rule since it does not have any biases based on positive or negative numbers or rounding towards or away from zero, as some of the other rounding methods do. For this method, half values are rounded to the nearest even integer. For example:

Round half to odd:

Rounding half to odd is similar to rounding half to even (above), and can be used as a tie-breaking rule. For this method, half values are rounded to the nearest odd integer. For example:

Round half away from zero:

Rounding half away from zero can be used as a tie-breaking rule, and means exactly as the phrase describes: rounding half values away from zero. It has no biases towards positive or negative numbers, but does have a bias away from zero. Another way to think about this rounding method is to round a half value towards the next integer closer to positive or negative infinity based on whether the value is positive or negative, respectively. For example:

Round half towards zero:

Rounding half towards zero is similar to rounding half away from zero, except that it rounds in the opposite direction. It has no biases towards positive or negative numbers, but does have a bias towards zero. The method means that half values will be rounded towards the next integer that is closer to zero than it is to positive or negative infinity. For example:

Rounding to fractions

Rounding to fractions involves rounding a given value to the nearest multiple of the chosen fraction. For example, rounding to the nearest 1/8:

This can be particularly useful in the context of engineering, where fractions are widely used to describe the size of components such as pipes and bolts.

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Rounding reasoning & problem solving

Rounding reasoning & problem solving

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

alarter

Last updated

2 October 2016

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lorraivalentina

great activity.

Empty reply does not make any sense for the end user

Great thanks - really good to get my LA Yr5er thinking.

This is really good for your HA and as extension. Just what I needed

haixalo2021991

This is a great problem solving activity on problem solving, thanks

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IMAGES

  1. Round to the nearest 100

    rounding to the nearest 100 problem solving

  2. Year 4 Round to the Nearest 100 Lesson

    rounding to the nearest 100 problem solving

  3. Round To The Nearest Hundred Word Problems Worksheets

    rounding to the nearest 100 problem solving

  4. Rounding Worksheets

    rounding to the nearest 100 problem solving

  5. White Rose Maths

    rounding to the nearest 100 problem solving

  6. Rounding Worksheets (Nearest Hundred)

    rounding to the nearest 100 problem solving

VIDEO

  1. Rounding to the nearest 100😀😃👍🌀

  2. Grade 3

  3. Rounding to the Nearest Ten and Hundred

  4. Rounding to the Nearest 100, التقريب لأقرب ١٠٠

  5. Numbers- Rounding to The nearest10 and 100 in Telugu maths Toutrial

  6. #roundingoff ₹roundingrules#maths #mathematics #education #mathswithrachna#Rounding off numbers

COMMENTS

  1. Rounding to the nearest 100 Worksheets

    Here you will find a range of free printable math worksheets to help your child learn to round numbers to the nearest hundred. These sheets are carefully graded so that the easier sheets come first and give extra support. The numbers in Sheets 1 to 4 go up to 1000. Sheet 5 goes up to 10,000.

  2. How to Round to the Nearest Hundredth

    For this next example, we have to round the number 8.495 to the nearest hundredth. Step One: Identify the value in the thousandths decimal place and ignore all numbers to the right of it. For the number 9.495, the digit in the thousandths place value slot is 5, as shown in Figure 14 below.

  3. Rounding Word Problems (printable, online, answers)

    Step 2: Round any numbers given in the problem to the nearest whole number, or to the nearest ten, hundred, or thousand, depending on the level of accuracy needed. Step 3: Use mental math to perform calculations quickly. For example, if you need to add 23 and 45, round them both to 20 and 50 and add those instead.

  4. Rounding Worksheets (Nearest Hundred)

    In this printable math activity, round to the nearest one hundred to solve the rounding caterpillars. 2nd through 4th Grades. View PDF. Scoot Game: Rounding (Nearest 100) ... Answer a set of questions and word problems on rounding numbers. 3rd through 5th Grades. View PDF. Tens and Hundreds. Round each number to the nearest ten. Then round to ...

  5. Round to the Nearest Hundred Calculator

    The standard way is to assign. 50. 50 50 to the higher hundreds. We call this procedure half-up rounding, and it gives us the following result: 250 → 300. 250\rightarrow 300 250 → 300. The half-down rounding is the opposite way to round to the nearest hundred, and it returns the lower hundreds when you deal with fifties.

  6. Rounding to nearest 100 (video)

    The nearest rounding of 100's depends on the ten-digit position (if it is greater than or equal 5 -> round up; if it is lower than 5 -> round down). Regarding your question the 88 are essential to answer the question correctly. Meaning 80 is bigger than 50, therefore you have to round up. ... Your answer for this problem would be 5400.

  7. Round whole numbers word problems (practice)

    Round whole numbers word problems. The distance to the moon is an average of 384,400 kilometers. Round the distance to the nearest ten thousand. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free ...

  8. Rounding Numbers to the Nearest 100

    These online round numbers to the nearest 100 learning resources break down the topic into smaller parts for better conceptual understanding and grasp. Get started now to make round numbers to the nearest 100 practice a smooth, easy and fun process for your child! Personalized Learning. Fun Rewards. Actionable Reports. Parents, Sign Up for Free.

  9. Rounding to nearest 10 and 100 (video)

    The ones place is 5 or greater, so we round up. Now, let's round to the nearest hundred. 8,346, the multiple of 100 above this is 8,400. The multiple of 100 below this is 8,300. Notice we're rounding to the nearest hundreds. If we were to round up, the hundreds place becomes a 4.

  10. Rounding Numbers Calculator

    Rounding Numbers. Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274: Rounding to the nearest hundred is 800. Rounding to the nearest ten is 840. Rounding to the nearest one is 838. Rounding to the nearest tenth is 838.3.

  11. 9 Free Rounding to the Nearest 100 Worksheet

    See the discussion on rounding to the nearest 100 worksheet in this article. Here you will find plenty of worksheets for practicing rounding to the nearest 100. ... Read each of the problems carefully and solve them to round all the numbers. Rounding Numbers to 10 &100. Here, we are going to round numbers based on two criteria. ...

  12. Round Numbers to the Nearest 100 Worksheets for Kids

    Browse interactive round numbers to the nearest 100 worksheets for kids online and make your child's practice sessions fun and exciting. These round numbers to the nearest 100 worksheets engage children's cognitive processes and help enhance their creativity and memory retention skills. Get started now to make learning interesting for your child!

  13. Rounding Worksheets

    Grade 5 rounding worksheets. Rounding numbers to the nearest 10 within 0-10,000. Rounding numbers to the nearest 100 within 0-1,000,000. Rounding numbers to the nearest 1,000 within 0-1,000,000. Mixed rounding - round to the underlined digit (up to nearest million) Estimating and rounding word problems.

  14. Rounding Word Problems Activity

    Use these differentiated worksheets to help your children develop their ability to round to the nearest 10 or 100 with word problems and real world contextsFor another great resource to support your teaching on rounding numbers, check out this comprehensive resource pack on rounding to 10, 100 and 1000.

  15. Rounding Calculator

    Free Rounding Calculator - round decimal numbers to the nearest tenth or hundredth step by step

  16. Rounding Interventions

    The place that the student will round to depends on the number of digits the numbers contain. Here are some guidelines: When adding, subtracting, multiplying, or dividing double-digit numbers, round to the nearest ten. Addition example: 42 + 64 = 40 + 60. Subtraction example: 58-12 = 60-10.

  17. PDF Reasoning and Problem Solving

    Reasoning and Problem Solving Round to the Nearest 10 Reasoning and Problem Solving Round to the Nearest 10 Developing 1a. 104 and 126 are incorrect. 104 rounds to 100 and 126 rounds to 130. 2a. Max is correct because 156 to the nearest ten is 160 -6 rounds up. 3a. The place value counters could represent 40; 41; 42 or 43 Expected 4a.

  18. Rounding to the nearest 10, 100 and 1000 Challenges

    Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 335.38 KB. pdf, 229.68 KB. Four challenge questions for rounding to the nearest 10, 100 and 1,000 that involve problem solving and reasoning. Answers are also included. Creative Commons "Sharealike".

  19. Rounding Calculator

    For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3. Rounding Methods. There are various rounding definitions that can be used to round a number. The calculator defaults to rounding to the nearest integer, but settings can be changed to use other rounding modes and levels of precision. All the rounding ...

  20. White Rose Maths

    White Rose Maths - Year 4 - Place Value - Rounding to the nearest 100 (Varied Fluency and Problem Solving Bundle) A set of varied fluency and a set of problem solving and reasoning worksheets to use alongside the White Rose Maths scheme. Both sets of questions have been differentiated 3 ways, each with an individual sheet of questions for that ...

  21. White Rose Maths Complementing Year 4 Rounding to the Nearest 100

    The learning compliments the year 4 Autumn Block 1 White Rose small step, to round to the nearest 100, and the year 4 maths national curriculum aim, to round to the nearest 10, 100 or 1000. When rounding to the nearest 100, children will develop their fluency, reasoning and problem-solving skills.

  22. Rounding reasoning & problem solving

    Rounding reasoning & problem solving. Just a simple worksheet I created to extend all pupils into reasoning when rounding numbers to the nearest 10,100 & 1000. I have taken ideas from WhiteRose resources and laid them out into F (Fluency), R (Reasoning) and PS (Problem solving). Could be used as a teaching resource or assessment on the objective.