practice and homework lesson 1.3 answer key grade 5

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Texas Go Math Grade 5 Lesson 1.3 Answer Key Place Value of Decimals

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Math Talk Mathematical Processes

Explain how the value of the last digit in a decimal can help you read a decimal. Answer: We know that, Values to the left of the decimal point are greater than one. Now, 38 means 3 tens and 8 ones. The word name of the decimal is determined by the place value of the digit in the last place. Ex: In 1.3215, The last digit (5) is in the ten-thousandth place

Use place value to read and write decimals.

A. Standard Form: 2.35 Word Form: two and ____________ Expanded Form: 2 + ___________ Answer: The given standard form is: 2.35 Now, We know that, Expanded form means writing the number so you show the value of each digit. Word form means writing the number with words instead of numerals So, The word from of 2.35 is: Two and Thirty-five hundredths The Expanded form of 2.35 is: 2 + 0.3 + 0.05 Hence, from the above, We can conclude that The word from of 2.35 is: Two and Thirty-five hundredths The Expanded form of 2.35 is: 2 + 0.3 + 0.05

B. Standard Form: ____________ Word Form: three and six hundred fourteen thousandths Expanded Form: ____________ + 0.6 + ____________ + ____________ Answer: The given word form is: Three and six hundred fourteen thousandths Now, We know that, The standard form is the combination of digits written together as a single number. In the expanded form the digits of the number are split into each of the individual digits with their place value and written in expanded form So, The standard form of the given word form is: 3.614 The expanded form of the given word form is: 3 + 0.6 + 0.01 + 0.004 Hence, from the above, We can conclude that The standard form of the given word form is: 3.614 The expanded form of the given word form is: 3 + 0.6 + 0.01 + 0.004

Use place value to compare. The silk spun by a common garden spider is about 0.003 mm thick. A commonly used sewing thread is about 0.3 mm thick. How does the thickness of the spider silk and the thread compare? Count the number of decimal place-value positions to the digit 3 in 0.3 and 0.003. 0.3 has 2 fewer decimal places than 0.003 2 fewer decimal places: 10 × 10 = 100 So, 0.3 is 100 times as much as 0.003 0.003 is 0.01 of 0.3 So, the thread is 0.01 times as thick as the garden spider’s silk. So, The thickness of the garden spider’s silk is 0.01 times that of the thread.

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Write the value of the underlined digit.

Write the number in two other forms.

Go Math 5th Grade Lesson 1.3 Express as Decimal Numerals Question 5. 0.253 Answer: The given number is: 0.253 Now, From the given number, We can observe that The given number is in standard form So, The Word form of 0.253 is: Two hundred and fifty-three thousandths The Expanded form of 0.253 is: 0 + 0.2 + 0.05 + 0.003 Hence, from the above, We can conclude that The representation of the given number in other two forms is: The Word form of 0.253 is: Two hundred and fifty-three thousandths The Expanded form of 0.253 is: 0 + 0.2 + 0.05 + 0.003

Question 6. 7.632 Answer: The given number is: 7.632 Now, From the given number, We can observe that The given number is in standard form So, The Word form of 7.632 is: Seven and six hundred and thirty-two thousandths The Expanded form of 7.632 is: 7 + 0.6 + 0.03 + 0.002 Hence, from the above, We can conclude that The representation of the given number in other two forms is: The Word form of 7.632 is: Seven and six hundred and thirty-two thousandths The Expanded form of 7.632 is: 7 + 0.6 + 0.03 + 0.002

Problem Solving

Daily Assessment Task

Fill in the bubble completely to show your answer.

Texas Test Prep

Texas Go Math Grade 5 Lesson 1.3 Homework and Practice Answer Key

Rename 0.6 using other place values.

Rename 0.2 using other place values.

Question 3. 0.632 Answer: The given number is: 0.632 Now, From the given number, We can observe that The given number is in standard form So, The Word form of 0.632 is: Six hundred and thirty-two thousandths The Expanded form of 0.253 is: 0 + 0.6 + 0.03 + 0.002 Hence, from the above, We can conclude that The representation of the given number in other two forms is: The Word form of 0.632 is: Six hundred and thirty-two thousandths The Expanded form of 0.253 is: 0 + 0.6 + 0.03 + 0.002

Question 4. 4.293 Answer: The given number is: 4.293 Now, From the given number, We can observe that The given number is in standard form So, The Word form of 4.293 is: Four and two hundred and ninety-three thousandths The Expanded form of 4.293 is: 4 + 0.2 + 0.09 + 0.003 Hence, from the above, We can conclude that The representation of the given number in other two forms is: The Word form of 4.293 is: Four and two hundred and ninety-three thousandths The Expanded form of 4.293 is: 4 + 0.2 + 0.09 + 0.003

Question 5. A weather reporter reads aloud the number of meters of snowfall. The amount is 0.103 meter. What words should the reporter use on the air to explain the amount of snowfall? Answer: It is given that A weather reporter reads aloud the number of meters of snowfall. The amount is 0.103 meter So, The representation of 0.103 in the Word form is: One hundred and three thousandths Hence, from the above, We can conclude that The words the reporter should use on the air to explain the amount of snowfall is: One hundred and three-thousandths meters

Homework and Practice 1.3 Decimals to Thousandths Answer Key Question 6. Amil says that the snow on the ground is 5 × \(\frac{1}{100}\) meter high. How can this number be expressed as a decimal? Answer: It is given that Amil says that the snow on the ground is 5 × \(\frac{1}{100}\) meter high Now, 5 × \(\frac{1}{100}\) = 5 × 0.01 = 0.05 meters Hence, from the above, We can conclude that The representation of 5 × \(\frac{1}{100}\) as a decimal is: 0.05

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Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts

Make your learning fun and enjoyable by using our Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts. With the help of Big Ideas Math Answer Key, Grade 5 Chapter 1 Place Value Concepts you can enhance your performance skills in the exams or assignments. You can find Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts with a detailed explanation. Also, our BIM 5th Grade Answer Key Chapter 1 helps to finish your in time without any delay.

Big Ideas Math Book 5th Grade Answer Key Chapter 1 Place Value Concepts

Students can improve their math skills by practicing the problems from here. Conceptual understanding of math is possible with Grade 5 Big Ideas Math Answers Chapter 1 Place Value Concepts. All the concepts of place values are explained in a concise manner. All you to do is to click on the below-provided links and kickstart your preparation from now itself.

Lesson 1: Place Value Patterns

Lesson 1.1 Place Value Patterns

Place value patterns homework & practice 1.1.

Lesson 2 Place Value with Whole Numbers

Lesson 1.2 Place Value with Whole Numbers

Place value with whole numbers homework & practice 1.2.

Lesson 3 Patterns and Powers of 10

Lesson 1.3 Patterns and Powers of 10

Patterns and powers of 10 homework & practice 1.3.

Lesson 4 Decimals to Thousandths

Lesson 1.4 Decimals to Thousandths

Decimals to thousandths homework & practice 1.4.

Lesson 5 Place Value with Decimals

Lesson 1.5 Place Value with Decimals

Place value with decimals homework & practice 1.5.

Lesson 6 Compare Decimals

Lesson 1.6 Compare Decimals

Compare decimals homework & practice 1.6.

Lesson 7 Round Decimals

Lesson 1.7 Round Decimals

Round decimals homework & practice 1.7.

Performance Task

Place Value Concepts Performance Task

Place value concepts activity, place value concepts chapter practice.

Explore and Grow

Rod is 10 times as much as Unit

The flat is 10 times as much as Rod

Cube is 3 times as much as Flat

Unit is 1/10 of Rod

Rod is 1/10 of Flat

The flat is 3/10 of Cube

Reasoning Describe the patterns you see in a number as you move from one place value position to another place value position.

Answer: As we move from one place value position to another value position, The place value of a digit increase by ten times as move from the left.

Think and Grow: Place Value Patterns

Show and Grow

Apply and Grow: Practice

Use a place value chart to answer the question. Question 2. What number is 10 times as great as 6,000? Answer:60,000

If 6,000 is multiplied by 10 times it becomes 60,000

Question 3. What number is \(\frac{1}{10}\) of 300? Answer:30

300 x 1/ 10 is 30

Question 4. 80 is 10 times as great as what number? Answer: 8

if 8 is multiplied by 10 times it becomes 80

Question 5. 40,000 is \(\frac{1}{10}\) of what number? Answer:4,00,000

4,00,000 x 1/10 is 40,000

The number is 4,00,000

1. 100 ,1 ,

10,  10 times as number is 10 x 10 = 100

1/10 of 10 is 1

400, 10 times as number is 400 x 10 = 4000

1/10 of 400 is 40

3. 70,000,700

7,000, 10 times as number is 7,000 x 10 =70,000

1/10 of 7,000 is 700

4. 500,000,    5,000

50,000,10 times as number is 50,000 x 10 = 5,00,000

1/10 of 50,000 is 5,000

1. 2,000, 20

200,  10 times as number is 200 x 10 = 2,000

1/10 of 200 is 20

2. 3,00,000,   3,000

30,000,  10 times as number is 30,000 x 10 = 3,00,000

1/10 of  30,000 is 3,000

90, 10 times as number is 90 x 10 = 900

1/10 of 90 is 9

4. 80,000, 800

8,000,  10 times as number is 8,0,0 x 10 = 80,000

1/10 of 8,000 is 800

Question 8. Patterns Describe the relationship between any place value position and the next greater place value position. Answer:

The relation between any place value position and next greater place value position increases ten times as we move.

Number Sense Write whether the statement is true or false. If false, explain why. Question 9. 600 is 100 times as great as 60,000. ______ Answer: True

600 X 100 = 60,000

Question 10. 9,000 is 1,000 times as great as 9.

_____ Answer: True

9 X 1,000 = 9,000

Think and Grow: Modeling Real Life

Use the table above. Question 11. Which state is about 10 times larger than Hawaii? Answer: Georgia is 10 times larger than Hawaii

Question 12. Which state is about \(\frac{1}{10}\) the size of Wyoming? Answer: Maryland is 1/10 the size of Wyoming

Question 13. DIG DEEPER! Which state is about 100 times larger than the District of Columbia? Answer: Hawaii

District of Columbia = 60

100 times larger than the District of Columbia 60 X 100 = 6,000 is Hawaii

2 tons Mother

Baby = 200 x 1/10 = 20 Pounds

2,000 x 10 = 20,000

Question 2. _____ is \(\frac{1}{10}\) of 2,000. Answer:      200

2,000 x 1/ 10 = 200

Use a place value chart to answer the question. Question 3. What number is 10 times as great as 50? Answer:  500

50 x 10 = 500

Question 4. What number is \(\frac{1}{10}\) of 4,000? Answer:  400

4,000 x 1/10 = 400

Question 5. 800 is \(\frac{1}{10}\) of what number? Answer:8,000

8,000 x 1/10 = 800

Question 6. 60,000 is 10 times as great as what number? Answer : 6,000

6,000 is 10 times means 6,000 x 10 =60,000

40, 10 times as number is 40 x 10 = 400

1/10 of 40 is 4

2. 5,000, 50

500, 10 times as number is 500 x 10 = 5,000

1/10 of 500 is 50

3. 10,000  ,  100

1,000, 10 times as number is 1,000 x 10 = 10,000

1/10 of 1,000 is 100

4.8,00,000   , 8,000

80,000, 10 times as number is 80,000 x 10 = 8,00,000

1/10 of 80,000 is 8,000

1. 7,00,000   ,   7,000

70,000, 10 times as number is 70,000 x 10 = 7,00,000

1/10 of 70,000 is 7,000

2. 200 ,  2

20, 10 times as number is 20 x 10 = 200

1/10 of 20 is 2

3. 30,000, 300

3,000, 10 times as number is 3,000 x 10 = 30,000

1/10 of 3000 is 300

4. 1,000 ,  10

100, 10 times as number is 100 x 10 = 1,000

1/10 of 100 is 10

Question 9. Patterns Describe the relationship between any place value position and the next lesser place value position.

The relation between any place value position and next lesser place value position decreases ten times as we move.

Question 10. YOU BE THE TEACHER Your friend says 6,700 is \(\frac{1}{10}\) of 67,000. Is your friend correct? Explain. Answer: Yes My friend is correct, because if we divide 67,000 by 10 we get the result as 6,700 only.

Newark=40,000

40,000 x 10 = 4,00,000 is Oakland

Question 12. Modeling Real Life Which city’s population is about \(\frac{1}{10}\) the population of Marina? Answer: Population of Del Ray Oaks.

Marina = 20,000

20,000 x 1/10 = 2,000=Del Ray Oaks

Question 13. DIG DEEPER! An archaeologist finds a ceramic bowl that is about 400,000 years old. He finds different artifact that is \(\frac{1}{100}\) times as old as the 100ceramic bowl. How much older is the ceramic bowl than the other artifact? Answer: The Ceramic bowl is 4000 years old.

4,00,000 x 1/100= 4,000

Review & Refresh

Find the factor pairs for the number. Question 14. 9 Answer: 1,3,9 are factor pairs of 9

Question 15. 24 Answer:  (1,24), (2,12) (3,8) and (4,6) are factor pairs of 24

Question 16. 15 Answer:(1,3,5,15) are factor pairs of 15

4 is in thousand, 4 is in Hundreds and 4 is at tens value.

Repeated Reasoning Is the value of the 4 in the tens place 10 times as much as the value of the 2 in the ones place? Explain. Answer: No, Why means 4 in tens place means its value is 40 and 2 in ones place means only 2so 4 in the tens place is not 10 times as the value of 2.

Think and Grow: Place Value with Whole Numbers

Write the number in two other forms. Question 1. Standard form: 78,300 Word form: Expanded form: Answer:

Word Form : Seventy -Eight Thousand, Three Hundred.

Expanded Form : 7 x 10,000 + 8 x 1000 + 3 x 100=78,300

Question 2. Standard form: Word form: three hundred fifty thousand, fifty-eight Expanded form: Answer:

Standard Form : 300,50,058

Expanded Form : 3 x 10,00,000+ 5 x 10,000 + 5 x 10 +8=300,50,058

Question 3. Compare the values of the 6s in the number 466,900. Answer:

the values of the 6 s are one is in 60 thousand’s place and other is at 6 thousands place.

Write the number in two other forms. Question 4. Standard form: Word form: Expanded form: 6 × 100,000 + 8 × 1,000 + 4 × 100 + 5 × 10 + 9 × 1 Answer:

Standard Form : 6,08,459

Word Form : 6 hundred / six lakh, eight thousand , four hundred  fifty nine.

Question 5. Standard form: 45,006,702 Word form: Expanded form:

Word form: forty five lakh ,six thousand seven hundred and two.

Expanded form:4 x 10000000 + 5 x 1000000 + 6 x 1000 +

Question 6. Compare the values of the 7s in the number 4,877,034. Answer:

The value’s of 7s is at seventy thousand,(70,000) and again at  seven thousand(7,000).

Question 7. Compare the values of the 3s in the number 5,338. Answer:

The values of 3s is at 3-Hundred(300) and at thirty (30)[3 tens)]

3 at hundreds and 3 at tens place.

In 8,046 The value of 4 is in Ten’s place and 6 is in one’ s place

and in 8,460 the value of 4 is in hundreds place and 6 in ten’s place.

In 28,517 the value of 2 is at twenty thousand place, 8 at thousands and 5 at hundreds, 1 at tens and 7 at one’s place.

and 28,509 the value of 2 is at twenty thousand place, 8 at thousands and 5 at hundreds, zero at tens and 9 at one’s place.

In 5,854,331- Fifty Lakhs , 8 at lakhs, Five at ten thousand, 4 at thousand,3 at hundred, 3 at ten’s and 1 at one’s place.

and in 5,854,231 – Fifty Lakhs , 8 at lakhs, Five at ten thousand, 4 at thousand,2 at hundred, 3 at ten’s and 1 at one’s place.

Standard Form: 3000$ per Kg.

the white truffle is 3000$ per kg.

Question 12. YOU BE THE TEACHER Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Explain. Answer:

Yes,  because  at first the 5 is at tens place and in next time 5 is at thousands place so friend is right 5 is 10 times greater as the other 5 . As we move from right value to left twice tens value place becomes thousand value place.

Question 13. Logic Newton is thinking of a 6-digit number in which all of the digits are the same. The value of the digit in the thousands place is 8,000. What is Newton’s number? Answer:

8 x 1,00,000 + 8 x 10,000+8 x 1,000+8 x 100 + 8 x 10 + 8 x 1

Use the table above. Question 14. Compare the values of the 7s in Mars’s average distance from the Sun. Answer:

the value of 7 s in first is in thousands place and next 7 s is at hundreds place, the digits are one place apart, so the value of first 7 is in thousands place is 10 times the value of the next 7s in hundreds place.

Question 15. Compare the values of the 4s in Saturn’s average distance from the Sun. Answer:

the value of 4 s in first is in four hundred thousands place and next 4 s is at hundreds place, the digits are two places apart, so the value of first  4 is in hundred thousands place is 100 times the value of the next 4s in hundreds place.

$ 194,918 + $ 35,187 = $ 230,005

Word Form :  Two Hundred, Thirty thousand and Five dollars.

Standard Form : $ 230,005

Write the value of the underlined digit. Question 1. 7 4 0,225 Answer:

4 is at Forty thousand place

Question 2. 6 04,197,872 Answer:

6 is at Six Hundred Lakh place

Question 3. 1 2 ,405,287 Answer:

2  is at  twenty Lakh or twenty hundred thousand place

Question 4. 3 92,183 Answer:

3 is at 3 lakhs or 3 hundred thousand place

9  is at ninety thousand place

2 is at 2 thousand place

1 is at one hundred place

8 is at eighty place

3 is at ones place place

Write the number in two other forms. Question 5. Standard form: 450,014 Word form: Expanded form: Answer:

Word Form : 4 lakhs or 4 hundred thousand ,  fifty thousand and fourteen

Expanded  Form : 4 x 1,00,000 +5 x 10000 + 1 x 10 + 4

Question 6. Standard form: Word form: fourteen thousand, two hundred one Expanded form: Answer:

Standard Form : 14,201

Expanded Form : 1 X 10000 + 4 X 1000 + 2 X 100 +1

Question 7. Compare the values of the 9s in the number 537,499. Answer:

First 9 is at ones place, and second 9 is at tens place.

Question 8. Compare the values of the 5s in the number 78,550,634. Answer:

First 5 is at Ten Thousands place,

Second 5 is at Five Hundred Thousands place.

67,893 < 67,943

6 at sixty thousand place ,6 at sixty thousand place

7 at thousand place, 7 at thousand place

8 at eight hundred place,9 at nine hundred is great

9 at tens place and 4 at four at tens place is less

and 3 at ones place and 3 at ones place is same

450,823 > 405,823

4 at Four hundred thousand,

5 at fifty thousand and 0 is smaller at ten thousands place

0 at thousands place is smaller than 5 at thousands place

8  at hundreds place is same as 8 at hundreds place

2 at tens place is same as 2 at tens place

and 3 at ones place is same as 3 at ones place

176,994 = 176,994

1 at one hundred thousand, is same at 1 at One Hundred Thousand place

7 at Seventy thousand is same at 7 at Seventy Thousand place

6 at six thousand is same at 6 at six thousand place

9 at hundreds place is same at 9 at hundreds place

9 at ninety or 9 tens place is same as 9 at Ninety or 9 Tens place

and 4 at ones place is same as 4 at Ones place

Question 12.

Your body contains about 60,000 miles of blood vessels. Write this number in word form. Answer:

60,000 miles of blood vessels in  Word Form : Sixty Thousand miles.

No number is repeated, so no number belongs to other

one at tens place

4 at ones place

2 at hundredths place

and 6 at thousandths place.

Question 14. DIG DEEPER! Find the difference in the values of the underlined digits. 8 56,092 37, 8 41 Answer:

8 is at 80 Million,

8 is at hundreds value

the difference is 8 X 1,00,00,000 times the other  8 value.

Question 16. Modeling Real Life Compare the values of the 2s in the cost. Answer:

Costs Places

In cast 2 is at two hundred thousands place and 2 at thousands place.

In Director 2 is at 2 millions place and 2 at thousands place.

In Editing 2 value is not there.

In Music also 2 is not there

In Producers 2 value is at 2 millions place

In Visual effects 2 place is first at thousands place and 2 is in ones place

Question 17. DIG DEEPER! What is the total cost for the director and producers? Write your answer in word form. Answer: Total cost of director-$ 2,712,480+ and cost of roducer –

$ 2,759,981 is $ 5,472,461

Word Form : five million, four hundred thousand, seventy two thousand, four hundred sixty one dollars.

0.14 < 0.15

0.14-0+ 1 x 1/10+4/100

0 is at ones place ,1 is at 1/10 place, and 4 is at 1 /100 place is small

0.15-0+1×1/10+5/100

0 is at ones place ,1 is at 1/10 place, and 5 is at 1 / 100 place

2.2-2 is at ones place and .2 is at 2/10 place

2.20- 2 is at ones place ,.2 is at 2/10 place is same

5.8 > 5.08

5.8 – 5 is at ones place and .8 is at 1/10 place

5.08  – 5 is at ones place and .8 is at 1/100 place  is small

How many units are in 10 rods?

How many units are in 100 rods?

How many units are in 1,000 rods? Answer:

In 1 rod its 1 x 10 0 = 10 0

In 10 rods its 1 x 10 = 10 1

In 100 rods its 1 x 10 x 10 = 10 2

In 1,000 rods it is 1 x 10 x 10 x 10 =10 3

Repeated Reasoning How many tens are in 100? in 1,000? in 10,000? Answer: In 100 its 10 tens, in 1,000 its 100 tens and in 10,000 its 1000 tens

Think and Grow: Patterns and Powers of 10

Question 1. Identify the base, exponent, and power for the expression 10 6 . Answer:

exponent: 6

power :10 6= 10 x 10 x 10 x 10 x 10 x 10

Question 2. Write the product 10 × 10 × 10 × 10 as a power.

10 x 10 x 10 x 10  as a power is 10  4

Question 3. Find the value of 5 × 10 2 . Answer:

5 × 10 2 is 

5 x 10 x 10 = 500

Find each product. Use patterns to help. Question 4. 2 × 10 = _____ 2 × 100 = _____ 2 × 1,000 = _____ 2 × 10,000 = ____ Answer:

2 x 100=200

2 x 1,000= 2,000

2 x 10,000 = 20,000

Question 5. 9 × 10 = _____ 9 × 100 = _____ 9 × 1,000 = _____ 9 × 10,000 = ____ Answer:

9 x 10 = 90

9 x 100 = 900

9 x 1,000= 9,000

9 x 10,000 = 90,000

Question 6. 5 × 10 = _____ 5 × 100 = _____ 5 × 1,000 = _____ 5 × 10,000 = ____ Answer:

5 x 10 = 50

5 x 100= 500

5 x 1,000 = 5,000

5 x 10,000 = 50,000

Find the value of the expression. Question 7. 10 4 Answer:

10 4= 10 x 10 x 10 x 10 = 10,000

Question 8. 6 × 10 5 Answer:

6 × 10 5 = 6 x 10 x 10 x 10 x 10 x 10 = 6,00,000

Question 9. 7 × 10 2 Answer:

7 × 10 2 = 7 x 10 x 10 = 700

Question 10. 5 ×10 4 Answer:

5 ×10 4= 5 x 10 x 10 x 10 x 10 = 50,000

Rewrite the number as a whole number multiplied by a power of 10. Question 11. 20,000 Answer:

20,000=2 x 10 4

Question 12. 500 Answer:

500=5 X 10 2

Question 13. 900,000 Answer:

9,00,000=9 x 10 5

Number Sense Write the number in expanded form using exponents. Question 14. 53,124 (5 × 10 4 ) + ______ Answer:

53,214=(5 × 10 4 ) +( 3 x 10 3 )+(1 x 10 2 ) + (2 x10 1 )+ (4 x10 0 )

Question 15. 8624 (8 × 10 2 ) + _______ Answer:

8624=(8 x 10 3 )+(6 x 10 2 ) +(2 x 10 1 )+(4×10 0 )

Question 16. DIG DEEPER! Your friend writes (3 × 10 4 ) + (5 × 10 3 ) + (2 × 10 2 ) + 4 as the expanded form of thirty-five thousand, twenty-four. Explain what your friend did wrong. Answer:

(3 × 10 4 ) is 3 x 10 x 10 x 10 x 10 = 30,000 is Thirty Thousand

(5 × 10 3 ) is 5 x 10 x 10 x 10 = 5,000 is five thousand

(2 × 10 2 ) is 2 x 10 x 10 = 200 is two hundred not twenty

and 4 is four,

it is  thirty-five thousand, two hundred and four= 35,204

not thirty-five thousand, twenty-four ≠ 35,024

35,204 is right

35,024 is wrong

Newton: 10 5 =  10 x 10 x 10 x 10 x 10 is 1,00,000

Descartes: 9 × 10 4 = 9 x 10 x 10 x 10 x 10 is 90,000

so total people voted is 1,00,00 + 90,000 = 1,90,000

1,90,000 Voted in the election.

Year 1 $ 10 4 = 10 x 10 x 10 x 10 =10,000

Year 2 $ 6 x 10 5 = 6 x 10 x 10 x 10 x 10 x 10 = 6,00,000

there fore total sales for Year 1 and Year 2 combined is  is 6,10,000 .

Chinook Salmon about 4 x 10 3km

4 X 10 x 10 x 10 = 4000 km

Leatherback Turtle about 2 X 10 4 km

2 x 10 x 10 x 10 x 10 = 20,000 km

So Leatherback Turtle is  farther and

20,000 km – 4000 km = 16,000 km

it is 16,000 km farther

Question 9. DIG DEEPER! A human has about 10 4 taste buds. A cow has about 3 times as many taste buds as a human. About how many taste buds does a cow have? Write your answer as a whole number multiplied by a power of 10. Answer:

(10 4 ) 3 time means (10 4 ) 3 

as per the law powers are multiplied 4 x 3

(10 4×3 ) = (10 12 )

(10 4×3 )= 1 X (10 4 ) x (10 4 )  x (10 4 )

(10 12 )= 1 x (10 x 10 x 10 x 10 ) x (10 x 10 x 10 x 10 ) x (10  x 10 x 10 x 10)

Question 1. Identify the base, exponent, and power for the expression 10 3 . Answer:

exponent:  3

power : 10 3= 10 x 10 x 10

Question 2. Write 10 × 10 × 10 × 10 a power. Answer:

10 x 10 x 10 x 10 = 10 4

Find each product. Use patterns to help. Question 3. 6 × 10 = ______ 6 × 100 = _____ 6 × 1,000 = _____ 6 × 10,000 = _____ Answer:

6 x 10=6 × 10 1 =  60

6 x 100 =6 × 10 2 = 600

6 X 1,000=6 × 10 3 =   6,000

6 x 10,000 = 6 × 10 4 = 60,000

Question 4. 8 × 10 = ______ 8 × 100 = _____ 8 × 1,000 = _____ 8 × 10,000 = _____ Answer:

8 x 10=8 × 10 1 = 80

8 x 100 =8 × 10 2 = 800

8 X 1,000=8 × 10 3 = 8,000

8 x 10,000 = 8 × 10 4 = 80,000

Question 5. 4 × 10 = ______ 4 × 100 = _____ 4 × 1,000 = _____ 4 × 10,000 = _____ Answer:

4 x 10=4 × 10 1 = 40

4 x 100 =4 × 10 2 = 400

4 X 1,000= 4× 10 3 = 4,000

4 x 10,000 = 4 × 10 4 = 40,000

Find the value of the expression. Question 6. 10 3 Answer:

10 3 = 10 x 10 x 10 = 1,000

Question 7. 2 × 10 4 Answer:

2 × 10 4 = 2 x 10 x 10 x 10 x 10 = 20,000

Question 8. 9 × 10 5 Answer:

9 × 10 5   =  9 x 10 x 10 x 10 x 10 x 10 = 9,00,000

Question 9. 3 × 10 2 Answer:

3 × 10 2  = 3 x 10 x 10 = 300

Rewrite the number as a whole number multiplied by a power of 10. Question 10. 100,000 Answer:

100,000 = 1 x 10 x 10 x 10 x 10 x 10 = 1 × 10 5

Question 11. 70 Answer:

70 = 7 x 10 = 7 x 10 1

Question 12. 6,000 Answer:

6,000 = 6 x 10 x 10 x 10 = 6 x 10 3 

Number Sense Write the number in standard form. Question 13. (3 × 10 2 ) + (8 × 10 1 ) Answer:

(3 × 10 2 ) + (8 × 10 1 )  = 3 x 10 x 10 + 8 x 10

3 x 100 + 80

300+ 80 = 380

Question 14. (2 × 10 3 ) + (5 × 10 2 ) + (4 × 10 1 ) Answer:

(2 × 10 3 ) + (5 × 10 2 ) + (4 × 10 1 ) =  2 x 10 x 10 x 10 + 5 x 10 x 10 + 4 x 10

2,000 + 500 + 40

Question 15. YOU BE THE TEACHER Newton 6 says 10 6 = 10 × 6. Is he correct? Explain Answer:

No he is wrong because  10 6  ≠  10 × 6 it is 10 is to be multiplied by  6 times ,

10 6 = 10 x 10 x 10 x 10 x 10 x 10=10,00,000 is correct

Both are different blocks , in first block it is  square and next it is cube.   

Aquarium = 7 x 10 2 =   7 x 10 x 10 = 700

Amusement Park = 10 3  = 10 x 10 x 10 =  1000

700 + 1000 = 1,700

So total number of students voted are =  1,700.

Friday = 10 x 10 x 10 = 1,000

Saturday = 5 x 10 2 = 5 x 10 x 10 = 500

on Friday more people attend the event

and more are 1,000 – 500 = 500 , s0 500 more people attended.

Step 1) Start by dividing 65 by 6 to get the decimal answer as illustrated below. Note that we round the answer if necessary, but don’t worry, the final answer will still be exact.

65 / 6 = 10.83

Step 2) Next we take the Whole part of the answer in Step 1 and multiply it by the Divisor. As you can see, it does not matter if we rounded in the previous step because the Decimal part is ignored. Furthermore, the Divisor in 65 divided by 6 is 6. Thus, the Whole multiplied by the Divisor is:

10 x 6 = 60

Step 3) Finally, we will subtract the answer in Step 2 from the Dividend to get the answer. The Dividend in 65 divided by 6 is 65. Thus, our final calculation to get the answer is:

65 – 60 = 5

the answer is 5 .

Step 1) Start by dividing 50 by 4 to get the decimal answer as illustrated below. Note that we round the answer if necessary, but don’t worry, the final answer will still be exact.

50 / 4 = 12.50

Step 2) Next we take the Whole part of the answer in Step 1 and multiply it by the Divisor. As you can see, it does not matter if we rounded in the previous step because the Decimal part is ignored. Furthermore, the Divisor in 50 divided by 4 is 4. Thus, the Whole multiplied by the Divisor is:

12 x 4 = 48

Step 3) Finally, we will subtract the answer in Step 2 from the Dividend to get the answer. The Dividend in 50 divided by 4 is 50. Thus, our final calculation to get the answer is:

50 – 48 = 2

the answer is 2.

Step 1) Start by dividing 45 by 3 to get the decimal answer as illustrated below. Note that we round the answer if necessary, but don’t worry, the final answer will still be exact.

45 / 3 = 15

the answer is 0.

Divide the square into10 equal parts. Shade one part. What part of the whole is shaded? Fraction: Decimal:

If you divide each of the 100 equal parts into10 equal parts, how many parts will the model have?

If you shade one of those parts, what part of the whole is shaded? Fraction: Decimal: Answer:

the model will have 10 parts , only 1/ 10th part is shaded, 0.1

Structure Compare the number of hundredths to the number of tenths. Compare the number of hundredths to the number of thousandths. What do you notice? Answer:

number of hundredths to the number of tenths is 10 to 100 , 10/100=1/10 = 0.1

number of hundredths to the number of thousandths is

100 to 1000, 100/1000 =1/10= 0.1

both has equal values 1/10 = 0.1

the number of hundredths to the number of tenths is equal to the number of hundredths to the number of thousandths

Think and Grow: Thousandths

Write the decimal as a fraction. Question 1. 0.009

0.009= 9 / 1,000 = 9 x 1/1,000

Question 2. 0.063 Answer:

0.063 = 63 / 1,000= 63 x 1/1,000

Question 3. 0.194 Answer:

0.194 = 194 / 1,000= 194 x 1/1,000

Write the fraction as a decimal Question 4. \(\frac{3}{1,000}\) Answer:

\(\frac{3}{1,000}\)= 3 x 1/ 1,000=  0.003

Question 5. \(\frac{91}{1,000}\) Answer:

\(\frac{91}{1,000}\)= 91 x 1/ 1,000 = 0.091

Question 6. \(\frac{607}{1,000}\) Answer:

\(\frac{607}{1,000}\)= 607 x 1/1,000= 0.607

Write the decimal as a fraction. Question 7. 0.645 Answer:

0.645= 645x 1/1,000= 645/1,000

Question 8. 0.002 Answer:

0.002=2 x 1/1,000=  2/1,000

Question 9. 0.98 Answer:

0.98= 98 x 1/ 1,000= 98/1,000

Question 10. 0.6 Answer:

0.6 = 6 x 1/10= 0.6/10

Write the fraction as a decimal. Question 11. \(\frac{884}{1,000}\) Answer:

\(\frac{884}{1,000}\)= 884x 1/1,000= 0.884

Question 12. \(\frac{8}{1,000}\) Answer:

\(\frac{8}{1,000}\)= 8 x 1/1,000= 0.008

Question 13. \(\frac{39}{100}\) Answer:

\(\frac{39}{100}\)= 39 x 1/ 100= 0.39

Question 14. \(\frac{1}{10}\) Answer:

\(\frac{1}{10}\)= 1 x 1/10 = 0.1

Question 15. 0.4 is \(\frac{1}{10}\) of what number? Answer:

\(\frac{4}{10}\) is 0.4

Question 16. 0.52 is 10 times as great as what number? Answer:

0.52 is 10 times as great as 0.052

47/100= 47 x 1/100= 0.47

0.29 does not belongs to other three

Question 19. YOU BE THE TEACHER Your friend says the value of the 7 in the hundredths place of 0.877 is 10 times as great as the 7 in the thousandths place. Is your friend correct? Explain. Answer:

Yes , because the value of 7 in the hundredths place as compared is 10 times as great as the 7 in the thousands place.

Question 20. Write each fraction as a decimal. What do you notice? \(\frac{4}{10}\), \(\frac{40}{100}\) and \(\frac{400}{1,000}\) Answer:

\(\frac{4}{10}\)=0.4

\(\frac{40}{100}\) =0.4

\(\frac{400}{1,000}\)=0.4

number of tenths, tenths number of hundredths and hundredths number of thousandths are same.

50 for social studies, 25 for science total is 50 + 25 = 75, total number of flash cards is 1,000 ,

75 / 1,000 or 75 by 1,000 or 75 x 1/1,000= 0.075

458/1,000 or 458 x 1/1,000 of jokes books in knock- knock jokes.

Question 23. DIG DEEPER! A newly hatched caterpillar was 0.02 inches long. After 2 weeks, the caterpillar grew 10 times as long as its length when it hatched. After another 2 weeks, the caterpillar grew 10 times as long as its length after 2 weeks. How long is the caterpillar now? Answer: First week it is 0.02 inches,

in two weeks -2 weeks-0.02 x 10 = 0.2 inches

again after 2 weeks -0.2 x 10 = 2 inches

Write the decimal as a fraction. Question 1. 0.735 Answer:

0.735= 735 / 1,000= 735 x 1/1,000

Question 2. 0.051 Answer:

0.051= 51 / 1,000= 51 x 1/1,000

Question 3. 0.804 Answer:

0.804 = 804 / 1,000= 804 x 1/ 1,000

Question 4. 0.2 Answer:

0.2 = 2 / 10= 2 x 1/10

Write the fraction as a decimal. Question 5. \(\frac{98}{1,000}\) Answer:

\(\frac{98}{1,000}\)=98 x 1/1,000= 0.098

Question 6. \(\frac{67}{100}\) Answer:

\(\frac{67}{100}\)= 67 x 1/100=0.67

Question 7. \(\frac{4}{100}\) Answer:

\(\frac{4}{100}\)= 4 x 1/100=0.04

Question 8. \(\frac{9}{10}\) Answer:

\(\frac{9}{10}\)= 9 x 1/10= 0.9

Question 9. 0.08 is 10 times as great as what number? Answer:

if 0.008 is multiplied by 10 times it becomes 0.08

Question 10. 0.001 is \(\frac{1}{10}\) of what number? Answer:

if 0.0001 is \(\frac{1}{10}\) equals to 0.001

Question 11. YOU BE THE TEACHER Your friend says that \(\frac{16}{1,000}\) can be written as 0.16. Is your friend correct? Explain. Answer: No, because if 16 / 1,000 or 16 x 1/1,000 is 0.016 not 0.16,

0.016 ≠ 0.16

so he is incorrect.

13 units cubes are taken

Total number of units are  1000

left are from 1,000-13/1,000=87/1000

87 / 1,000 and 0.087 cubes are left

on the number line Point X = 7.633 as we move from 7.63 to three places forward

so Point X is 7.633

on the number line Point Y = 7.638 as we move from 7.63 its eighth place forward

and Point Y is 7.638

Question 14. Modeling Real Life A restaurant owner has a 1,000-count box of napkins. She puts 125 of the napkins on tables. What portion of the box of napkins does she use for the tables? Write your answer as a decimal. Answer:

Restaurant has 1,000 count box of napkins and keeps 125 on table so portion of the box she uses is  125/1,000= 125 x 1/ 1,000= 0.125

Question 15. DIG DEEPER! Your friend has a recipe book with 1,000 recipes. She wants to try two new recipes each week. What fraction of the recipes in the book will she have tried after 1 year? Answer:

In a year there are almost 52 weeks. Each week 2 means 2 x 52 =approximately  104 recipes in a year.

so in a year she would have tired 104 / 1,000= 104 x 1/1,000 = 0.104 recipes.

” square, octagon, pentagon, octagon, hexagon, octagon , heptagon , octagon,

octagon, octagon, nonagon, octagon , decagon, octagon,

from the model 3.33 =

0nes digit is – 3

tenths digit is 3/10 =0.3

hundredths digit is 3/ 100 = 0.03

Repeated Reasoning Compare the value of the ones digit to the value of the tenths digit. Then do the same with the tenths and the hundredths digits. Explain why you can use base ten blocks to model ones, tenths, and hundredths. Answer:

a digit in one place represents one and 10 times more what it represents in the place to its right and that is tenths digit. Similarly a digit in tenths place represents tenth and 10 times more what it represents in the place to its right and that is hundredths digit.

Each place to the left is 10 times the size of the place to the right, and base 10 blocks are the best way to model ones, tenths, and hundredths.

Think and Grow: Place Value with Decimals

Write the number in two other forms. Question 1. Standard form: 0.398 Word form: Expanded form:

Word form: “Three hundred ninety – eight thousandths” Expanded form: 3 x (1/10) + 9 x (1/100) + 8 x (1/1,000)

Question 2. Standard form: Word form: eight and forty-six thousandths Expanded form: Answer:

Standard form:8.046

Expanded form: 8 x 1 + (4 /100) + (6 / 1,000)

Question 3. Compare the values of the 5s in the number 2.557. Answer: at first 5s place value is at tenths and next its place value is at hundredths .

Write the value of the underlined digit. Question 4. 0. 4 18 Answer:

4 is at tenths value place

Question 5. 5.2 9 6 Answer:

9 is at hundredths value place

Question 6. 3 .806 Answer:

8 is at tenths value place

6 is at  thousandths value place

Question 7. 0.54 7 Answer:

7 is at thousandths value place

Write the number in two other forms. Question 8. Standard form: Word form: Expanded form: 4 × 1 + 9 × \(\frac{1}{10}\) + 8 × \(\frac{1}{1,000}\) Answer:

Standard form: 4.908 Word form:” Four and nine hundredth – eight thousandths”

Question 9. Standard form: 0.125 Word form: Expanded form: Answer:

Word form: “one hundred twenty – five thousandths” Expanded form: 1 x (1/10) + 2 x (1 /100) +5 x (1 / 1,000)

Question 10. Compare the values of the 4s in the number 0.844. Answer:

at first 4s place value is at hundredths and next 4s place value is at thousandths

Question 11. Compare the values of the 3s in the number 3.367. Answer: at first 3s place value is at ones place and next 3s place value is at tenths place

The Standard Form of pygmy jerboa’s -one hundred thirty-two thousandths pound weighs is  0.132 pound

Question 13. Reasoning Is 9.540 equivalent to 9.54? Explain. Answer:

Yes. 9.540 is equivalent to 9.54 because at thousandths value its 0, so zero multiplied by any number is zero.

Therefore both are equivalent.

Question 14. DIG DEEPER! Write three decimals that are equivalent to 6 × 1 + 4 × \(\frac{1}{10}\) . Answer:

the three equivalent decimals are of 6 .04 are 6.040, 6.0400, 6.04000

Question 15. Two baseball players have batting averages of 0.358 and 0.345. How do the values of the 5s in the batting averages compare? Answer:

In 0.358 the place value of 5s is at tenths place and in

0.345 the place value of 5s  is at thousandths place.

15.76 seconds time in words  is Fifteen and seven tenths and six hundredths

Yes, Because 1 Australian dollars = 1.302 of 0.302 of Kuwaiti dinars,

if we multiply 0.302 by 10 it becomes 1.302 which is equal to 1 Australian dollars.

[0.302 x 10 = 1.302]

so 1 Australian dollars is 10 times more than the 1  Kuwaiti dinars.

Write the value of the underlined digit. Question 1. 5 .437 Answer:

5 at ones place

4 at tenths place

3 at hundredths place

7 at thousandths place

Question 2. 0.85 2 Answer:

the underlined digit is 2 at thousandths place,

its value is 2 x 1/1000= 2/1000

Question 3. 0.9 6 2 Answer:

the underlined digit is 6 at hundredths place

its value is 6 x 1/100= 6 /100

Question 4. 4. 1 65

the underlined digit is 1 at tenths place

its value is 1x 1/10 = 1/10 Answer:

Write the number in two other forms. Question 5. Standard form: 9.267 Word form: Expanded form: Answer:

Word form:  nine and two tenths six hundredths seven thousandths.

Expanded form : 9+ 2 x 1/10 + 6 x 1/100 + 7 x 1/1000

Question 6. Standard form: Word form: two and forty-three thousandths Expanded form: Answer:

Standard form : 0.243

Expanded form: 2 x 1/10+4 x 1/100+3 x 1/1000

Question 7. Compare the values of the 6s in the number 1.668. Answer:

first 6s at tenths place and next 6s at hundredths place

Question 8. Compare the values of the 7s in the number 7.704. Answer:

first 7s at ones place and next 7s at tenths place

pygmy weighs 0.097 pound and its

word form is  nine hundredths and seven thousandths

no number belongs to other three because 5 is at tenths place

one at hundredths place and 4 at thousandths all are at different places.

2 x 1/1,000 , two thousandths and 0.002 are equal to the value of the underlined digit.

In Peace lily the 5s place is at  thousandths

and in Venus flytrap the 5s place is at hundredths

the mass of gold nugget in Las Vegas is 27.247 kilograms given

In Words form it is twenty seven and two tenths  four hundredths and  seven thousandths

both are equal 8/10 = 80/100

5/8 = 0.625

0.625 > 0.5,

5/8 > 3/ 6, 5/8 is greater than 3/6

so 7/2 is greater than 10/8.

7/2 > 10/8

0.62 >0.26, 0.62 is greater than 0.26, 0.6  is greater than o.2

0.80= 0.8, 0.80 both are  equal

3.5 < 3.55, 3.55 is greater than 3.50

Reasoning How can you use a place value chart to compare two decimals? Use a place value chart to check your answers above. Answer:

we use another table to compare with the previous and write the answer.

Think and Grow: Compare Decimals

2.4<2.405

So 9.063 < 9.067

So 0.89 > 0.809,

8.537 < 8.541

6.401 < 6.409, since  0.009 is greater than 0.001

7.409 > 7.049 since 7.4 is greater than 7.0

0.25 = 0.250

Both are equal

2.701 >2.700, since 0.001 is greater than 0.000

4.006 < 4.61, since 4.6 is greater than 4.0

0.041 < 41.6, 41 is greater than 0

0.007 < 0.7 as 0.7 is greater than 0.007

Order the decimals from least to greatest. Question 11. 321.499, 325.499, 321.489 Answer:

321.499, 325.499, 321.489 from least to greatest

as 321.489 is smaller than 321.499 and 321.499 is smaller than 325.499

so 321.489 , 321.499 , 325.499

Question 12. 9.7, 9.64, 9.78 Answer:

9.7, 9.64, 9.78 from least to greatest

9.64 is smaller than 9.7 and  9.7 is smaller than 9.78

so 9.64, 9.7 , 9.78

10.321 > 10.311

as 10.311 is smaller than 10.321

28.60 = 28.600

Question 15. Number Sense Is 0.472 greater than or less than \(\frac{47}{1,000}\)? Explain. Answer:

0.472, 0.047

0.475 is greater than 0.047,

as 4 in the tenths  place is greater than 0 in the others tenth place

Question 16. YOU BE THE TEACHER Your friend says that 45.6 is less than 45.57 because 6 is less than 57. Is your friend correct? Explain. Answer:

Friend says 45.6 is less than 45.57

No ,he is wrong as the 6th in tenths place is greater than 5, in the tenths place

so he is wrong  45.60 > 45.57 not less

15.633 ,15.635

as 15.533 is less than 15.633 as  5 at tenths place is less than 6 at tenths place

and 15.633 is less than 15.653 as 3 at hundredths place is less than 5 at hundredths place

So, the scores from least to greatest are 15.533, 15.633 and 15.635

Question 17. You stand on one leg for 2.75 minutes, your friend stands on one leg for 2 minutes, and your cousin stands on one leg for 2.25 minutes. Order the amounts of time from least to greatest. Answer:

You – 2.75 min , Friend – 2.00 min and cousin for 2.25 min

2.00< 2.25 ,2.00 is less than 2.25 as 0 at tenths place is less than 2 at tenths place

2.25 < 2.75, 2.25 is less than 2.75 as 2 at tenths place is less than 7 at tenths place

so From Least to Greatest : 2.00 min, 2.25 min, 2.75 min

Y-Your, N-Newton’s ,F-Friend- 12.9, D-Descartes

Given Friend has greatest display size F= 12.9

Y – N ,given Your tablet’s display size is greater than Newton’s, N< Y and yours is less than Descartes’s Y < D

therefore  N < Y <D < F, Newton’s< Yours<Descartes’s<Friend

so N-Newton’s- 7.9, Y-Your-9.7,D-Descartes-10.5,F-Friend-12.9

Write which place to use when comparing the numbers. Question 1. 0.521 0.576 Answer:

2 at hundredths place  is smaller than 7 at hundredths place

so 0.521 < 0.576

Question 2. 17.422 17.946 Answer:

4 at tenths place  is small than 9 at tenths place

so 17.422 < 17.946

Question 3. 9.678 9.67 Answer:

8 at thousandths place is greater than 0 at thousandths place

9.678 > 9.670

4 at hundredths  place is smaller than 7 at hundredths place

so 3.445 is smaller than 3.472

3.445 < 3.472

0 at tenths place is smaller than 4 at tenths place

so 23.049 < 23.409

4 at tenths place is greater than 3 at tenths place

75.4 > 75.391

All  given place values are same

so 14.100 or 14.10 = 14.100

the value of 5s at hundredths place is more than 0 in other hundredths place

4.05> 4.005

15.2, 15.002

2 at tenths place is greater than 0 at tenths place

15.2 > 15.002

0.021, 0.026

1 at thousandths is smaller than 6 at thousandths place

0.021 < 0.026

Order the decimals from least to greatest. Question 11. 2.75, 0.2, 0.275 Answer:

0.2 < 0.275 as 0 at hundredths place is less than 7 at hundredths place

0.275<2.75 as 0 at ones place is less than 2 at at ones place

so from least to greatest 0.2, 0.275, 2.75

Question 12. 56.01, 56.1, 56.001 Answer:

56.001 < 56.01 as 0 at hundredths place is less than 1 at hundredths place

56.01 < 56.1 as o at tenths place is less than 1 at tenths place

56.001 , 56.01, 56.1

29.030 = 29.030

both the place values are same

3.562 <3.562

as the value of  6 is at hundredths place so the other value at hundredths place is 6.

Question 15. YOU BE THE TEACHER Newton says 8.51 is less than 8.492 because 8.51 has fewer digits after the decimal point than 8.492. Is he correct? Explain. Answer:

No, he is not correct its not the digits after the decimal point is fewer

but the 5s at tenths place is greater than 4 at the tenths place so

8.51 is greater than 8.492, 8.51 > 8.492

Question 16. Open-Ended Descartes is thinking of a number less than 46.922 and greater than 46.915. What could Descartes’s number be? Answer:

The numbers can be 46.916,  4 6.917, 46.918, 46.919, 46.920 or 46.921 and

all these numbers are less than 46.922 and greater than 46.915.

Question 17. Modeling Real Life Player A’s batting average is 0.300, Player B’s batting average is 0.333, and Player C’s batting average is 0.313. Order the batting averages from greatest to least. Answer:

B- 0.333, C-0.313 , A – 0.300

0.333 is great than 0.313 as 3 at hundredths place is great than 1 at hundredths place

so 0.333>0.313

0.313 is greater than 0.300 as 1 at hundredths place is great than 0 at hundredths place

0.313 > 0.300

the batting averages from greatest to least are B> C> A=0.333 > 0.313 >0.300

batting averages from greatest to least 0.333,0.313,0.300

Given A gasoline station customer pumps more than 9.487 gallons but less than 10 gallons

as 9.003 is less than 9.487 so not 9.003

as 9.499 is greater than 9.487  and even less than 10.000 so it is 9.499

as 9.406 is less than 9.487 so it cannot be 9.406

as 9.872 is greater than 9.487  and even less than 10.000 so it can be 9.872

so the displays can be  9.499 or 9.82

as both are more than 9.487 gallons and less than 10 gallons

Round the number to the place of the underlined digit. Question 19. 7,8 5 1 Answer:

the round place of 5 is 7,850

Question 20. 9 ,462 Answer:

the round place of 9 means 10,000 or 9,500

Question 21. 4, 9 83 Answer:

the round place of 9 – 5,000

Question 22. 5 1 ,504 Answer:

the round place of 1- 52,504

3,  3.09, 3.5, 3.51, 3.6, 3.77, 3.9 , 4

The numbers round to 3 are 3.09

The numbers round to 4 are 3.51, 3.6, 3.77 , 3.9

Repeated Reasoning Show how you can use a number line to round 3.09, 3.51, and 3.77 to the nearest tenth. Answer:

3.09 to the nearest tenth is 3.10

3.51 to the nearest tenth is 3.50

3.77 to the nearest tenth is 3.80

Think and Grow: Round Decimal Number

Round the number to the place of the underlined digit. Question 1. 12. 6 7 Answer:

the round place of  digit 6 is 12.70

Question 2. 0.4 3 9 Answer:

the round place of  digit 4 is 0.5

the round place of  digit 3 is 0.44

the round place of digit  9 is 0.440

Question 3. 2 .555 Answer:

the round place of  digit 2 is 3.000

Question 4. 5. 4 09

the round place of digit 4 is 5.400

Question 5. Round 0.68 to the nearest tenth. Answer:

0.68 to the nearest tenth  is 0.70, 6 at tenths place becomes 7

Question 6. Round 1.715 to the nearest hundredth. Answer:

1.715 to the nearest hundredth is  1.720, 1 at hundredths place becomes 2

Question 7. Round 4.07 to the nearest whole number. Answer:

4.07 to the nearest whole number becomes  4.00 or 4

Question 8. Round 0.289 to the nearest tenth. Answer:

0.289 to the nearest tenth is 0.300 as 2 becomes 3 at tenths place.

Round the number to the place of the underlined digit. Question 9. 1.4 8 2 Answer:

the underlined digit is 8 ,so its value becomes 1.490

Question 10. 5. 0 93 Answer:

the underlined digit is 0 so its value  becomes 5.100

Question 11. 8 .502 Answer:

the underlined digit is 8 so its value becomes 9.000

Question 12. 3 4.748 Answer:

if it is underlined at 3 it becomes 35.000

if it is underlined at 4 it becomes 35.000

if it is underlined at 7 it becomes 35.000

if it is underlined at 4 it becomes 34.800

if it is underlined at 8 it becomes 34.750

Question 13. Round 2.619 to the nearest whole number. Answer:

the value of 2.619 becomes 3.000

Question 14. Round 7.825 to the nearest tenth. Answer:

the value of 7.825 to the nearest tenth is 7.900

Question 15. Round 92.701 to the nearest ten. Answer:

the value of 92.701 to the nearest ten 93.000

Question 16. Round 4.263 to the nearest hundredth. Answer:

the value of 4.263 to the nearest hundredth is 4.270

Question 17. Round 0.829. Nearest whole number: Nearest tenth: Nearest hundredth: Answer:

Round 0.829 Nearest whole number:0.900 Nearest tenth:0.830 Nearest hundredth:0.830

Question 18. Round 18.062. Nearest whole number:18.100 Nearest tenth:18.070 Nearest hundredth:18.063 Answer:

Given a baby harp seal weighs 25.482 pounds and the nearest tenth is 25.000 pounds

So the weight of baby harp seal is 25.000 pounds.

Name the place value to which the number was rounded. Question 20. 8.942 to 8.94 Answer:

It was rounded at hundredths value place

Question 21. 0.164 to 0.2 Answer:

It was rounded at tenths value place

Question 22. 15.826 to 16 Answer:

It was rounded at whole value place

Question 23. Writing Explain what happens when you round 2.999 to the nearest tenth. Answer:

2.999 round value becomes 3.000 as all value places at tenths, hundredths, thousandths are 9 it becomes increased as we move so it ones value increases by 1 and becomes round 3.000.

Question 24. DIG DEEPER! To what place should you round 23.459 to get the greatest number? the least number? Explain. Answer:

To make 23.459 to  greatest number the value of 4s at tenths  becomes 5,

23.500 and to make 23.500 round make 5 at tenths value increased and make ones value 3 as 4 so we get 24.000

and to make 23.459 to least number the value at hundredths 5 becomes 0 ,

23.400  and to make 23.400 round make 4 at tenths value as decreased to 0 and ones value same as 3 it becomes as 23.000

Given  praying mantis as 3.254 so the  nearest hundredth becomes 3.26

Praying mantis becomes 3.260

Question 26. What is the length of the cicada rounded to the nearest tenth? Answer:

Given cicada 1.48 so rounded to the nearest tenth becomes 1.50

Cicada becomes 1.50

Question 27. What is the length of the hissing cockroach rounded to the nearest tenth? Answer:

Given Hissing cockroach 2.682 so rounded to the nearest tenth is 2.700

Hissing cockroach becomes 2.700

Question 28. DIG DEEPER! You have about $3 in coins. Write one possible combination of coins that represents the least amount of money you could have. Write another combination of coins for the greatest amount of money you could have. Answer:

$3 Least amount of money combinations – 1. $ 1.0, $1.0    2.$ 1.0, $1.5

3.$0.5, $ 2.0 all combinations becomes less than $3

$ 3 greatest amount of money combinations- 1. $1.0, $ 2.5   2.$1.5 ,$2.0

3. $2.0 , $ 2.0 all combinations becomes more than $3

Round the number to the place of the underlined digit. Question 1. 4 9.012 Answer:

the underline digit is 4 its round number 4 becomes 5 so it is 50.000

Question 2. 2 .308 Answer:

the underline digit is 2  its round number 2 becomes as 2.000

Question 3. 9. 6 47 Answer:

the underline digit is 6 its round number 6 becomes 7 so it is 9.700

Question 4. 7.5 1 9 Answer:

the underline digit is 1 its round number 1 becomes  2 so it is 7.520

Question 5. Round 8.436 to the nearest hundredth. Answer:

8.436 to the nearest hundredth, 3 becomes 4 so it is 8.440

Question 6. Round 15.159 to the nearest ten. Answer:

15.159 to the nearest ten ,1 becomes 2 so it is 15.200

Question 7. Round 1.602 to the nearest whole number. Answer:

1.602 to the nearest whole number is 2.0

Question 8. Round 3.619 to the nearest tenth. Answer:

3.619 to the nearest tenth, so 6 becomes 7 it is 3.700

Question 9. Round 4.183. Nearest whole number: Nearest tenth: Nearest hundredth: Answer:

Round 4.183. Nearest whole number:4.000 Nearest tenth:4.200 Nearest hundredth:4.200

Question 10. Round 9.076. Nearest whole number: Nearest tenth: Nearest hundredth: Answer:

Round 9.076. Nearest whole number:9.000 Nearest tenth:9.100 Nearest hundredth:9.080

Name the place value to which each number was rounded. Question 11. 16.932 to 20 Answer:

16.932 at Tens value it is rounded  so it becomes 20

Question 12. 0.581 to 0.58 Answer:

0.581 to 0.58

0.581 at Thousandths value has been rounded so 0.58

Question 13. 7.429 to 7.4 Answer:

7.429 to 7.4

7.429 at Hundredths value has been rounded so 7.4

the nearest tenth * in the number line is showing at 5.64

Question 15. Precision The area of a campground is exactly halfway between 25.9 acres and 26 acres. What is the area of the campground? Answer:

Halfway of 25.9 and 26.0 is 25.90+25.60=51.50/2 = 25.75 acres

So the area of the campground is 25.75 acres.

Question 16. Open-Ended Name two different numbers that round to 3.8 when rounded to the nearest tenth. Answer:

The two numbers that are round to 3.8 when rounded to the nearest tenth place the value becomes 4.0 and  3.90

Question 17. Open-Ended Name two different numbers that round to 7.42 when rounded to the nearest hundredth. Answer:

The two numbers that round to 7.42 when rounded to the nearest hundredth place the value becomes 7.50 and 7.40

Given weights held without sinking in kilograms are

0.694,0.605,0.592,0.547 among all the weights the greatest weight rounded to the nearest tenth that a boat can hold is (0.694) i.e  0.7 kilograms

Question 19. Modeling Real Life What is the least weight rounded to the nearest hundredth that a boat can hold? Answer:

The least weight rounded to the nearest hundredth is (0.547)- o.5 kilograms a boat can hold

Find the product. Question 20. 7 × 40 Answer:

The product of 7 X 40 = 280

Question 21. 5,000 × 9 Answer:

The product of 5,000 x 9 = 45,000

Question 22. 8 × 200 Answer:

The product of 8 x 200=1,600

There are 18 species of penguins. Scientists have estimated the populations of 16 penguin species. Question 1. What fraction of penguin species have unknown populations? Answer:

Given total is 18 species of penguins out of which Scientists have estimated the populations of 16 penguin species. so unknown is 18-16/18=2/18,

so 2/18=1/9 of penguin species have unknown populations

a. Rock hopper penguins are more than Emperor

2,460,000>595,000 as  2,460,000 is greater than 595,000 so Rock hopper penguins are more

B. Macaroni species 18 x 10 6 of penguin has the greatest population as compared to Emperor 595,000,Adelie 4,000,000+7,00,000+40,000=4,740,000 and

Rockhopper-2,460,000

among all the species Macaroni 18 x 10 6 – species is more.

C. Macaroni + Adelie + Rockhopper +Emperor

18,000,000+4,740,000+ 2,460,000 + 595,000 = 25,795,000

25,785,000  to the nearest hundred thousand is 26,000,000

So there are almost 26,000,000 penguins live in Antarctica.

d. 1,000 times as many macaroni penguins as Galápagos penguins is

18 x 10 6  x 1 x 1000 = 18 x 10 9 

So there are 18 x 10 9  Galápagos penguins available

1.1 Place Value Patterns

Use a place value chart to answer the question. Question 1. What number is 10 times as great as 4,000? Answer:

10 times as great as 4,000 is 10 x 4,000= 40,000

Question 2. What number is \(\frac{1}{10}\) of 8,000? Answer:

\(\frac{1}{10}\) of 8,000 is 8,000/10 = 800

Question 3. 10,000 is 10 times as great as what number? Answer:

10,000 is 10 times as great as 1,000

Question 4. 70 is \(\frac{1}{10}\) of what number? Answer:

70 is \(\frac{1}{10}\) of 700

300 is 10 times as great as 30  and 30 x 1/10 is 3

6,000 is 10 times as great as 600 and 600 x 1/10  is 60

90,000 is 10 times as great as 9,000 and 9,000 x 1/10 is 900

2,00,000 is 10 times as great as 20,000 and 20,000 x 1/10=2,000

Question 6. YOU BE THE TEACHER Your friend says 500 is 10 times as great as 5,000. Is your friend correct? Explain. Answer:

No, My friend is wrong because  500 is not 10 times great as 5,000,

500 < 5,000.

1.2 Place Value with Whole Numbers

Question 7. Write the number in two other forms. Standard form: 456,701 Word form: Expanded form: Answer:

Word form: Four hundred fifty six thousand, seven hundred and one Expanded form:4 x 100000 + 5 x 10000 + 6 x 1000 + 7 x 100 + 1

Question 8. Write the number in two other forms. Standard form: Word form: Eight million, sixty thousand, five hundred seventy-three Expanded form: Answer:

Standard form:8,060,573 Expanded form:8 x 1000000+6 x 10000 + 5 x 100 + 7 x 10 + 3

Question 9. Compare the values of the 4s in the number 900,441,358. Answer:

4s value is at lakh or hundred thousandths place and another 4s place is at ten thousandths place.

Question 10. Write the values of the 6s in the number 96,672. Answer:

The values of the 6s in the number 96,672 are

6s place is at thousand and another 6s is at hundreds place

83,802 > 83,082

The value at hundred 8 is more/great to 0 at hundreds place

2,498,576 > 2,477,583

The value at 9 at ten thousands place is more/great than 7 at ten thousands place

1.3 Patterns and Powers of 10

Question 13. Write 10 × 10 as a power. Answer:

10 × 10 as a power is 10 2

Find each product. Use patterns to help. Question 14. 4 × 10 = _____ 4 × 100 = ______ 4 × 1,000 = _____ 4 × 10,000 = ______ Answer:

4 × 10 = 40 4 × 100 = 400 4 × 1,000 = 4,000 4 × 10,000 =40,000

Question 15. 3 × 10 = _____ 3 × 100 = ______ 3 × 1,000 = _____ 3 × 10,000 = ______ Answer:

3 × 10 = 30 3 × 100 = 300 3 × 1,000 = 3,000 3 × 10,000 = 30,000

Question 16. 7 × 10 = _____ 7 × 100 = ______ 7 × 1,000 = _____ 7 × 10,000 = ______ Answer:

7 × 10 = 70 7 × 100 = 700 7 × 1,000 = 7,000 7 × 10,000 = 70,000

Find the value of the expression. Question 17. 10 5 Answer:

10 5 =1,00,000

Question 18. 8 × 10 1 Answer:

8 × 10 1= 8 x 10 = 80

Question 19. 7 × 10 4 Answer:

7 × 10 4 = 7 x  10 x 10 x 10 x 10= 70,000

Question 20. 3 × 10 5 Answer:

3 × 10 5 = 3 X 10 X 10 X 10 X 10 X 10=3,00,000

Rewrite the number as a whole number multiplied by a power of 10. Question 21. 5,000 Answer:

5,000= 5 X 10 3

Question 22. 600,000 Answer:

6,00,000= 6 X 10 5

Question 23. 90 Answer:

90= 90 X 10 1

1.4 Decimals to Thousandths

Write the decimal as a fraction. Question 24. 0.062 Answer:

0.062= 62 X 1/1,000

Question 25. 0.008 Answer:

0.008= 8 X 1/1,000

Question 26. 0.195 Answer:

0.195= 195 X 1/1,000

Write the fraction as a decimal. Question 27. \(\frac{2}{1,000}\) Answer:

\(\frac{2}{1,000}\) = 2 x 1/1,000= 0.002

Question 28. \(\frac{37}{1,000}\) Answer:

\(\frac{37}{1,000}\) = 37 x 1/1,000= 0.037

Question 29. \(\frac{409}{1,000}\) Answer:

\(\frac{409}{1,000}\) = 409/1,000=0.409

Question 30. 0.0.7 is 10 times as great as what number? Answer:

0.07 is 10 times great as 0.007

Question 31. 0.04 is \(\frac{1}{10}\) of what number? Answer:

0.04 is \(\frac{1}{10}\) of 0.4

1.5 Place Value with Decimals

Write the number in two other forms. Question 32. Standard form: Word form: Expanded form: 5 × 1 + 3 × \(\frac{1}{10}\) + 8 × \(\frac{1}{100}\) + 4 × \(\frac{1}{1,000}\) Answer:

Standard form:5+0.3+0.08+0.004=5.384 Word form: five and three tenths, eight hundredths and 4 thousandths

Question 33. Standard form: 2.059 Word form: Expanded form: Answer:

Word form: two and five hundredths and nine thousandths

Expanded form: 2 x 1 + 5 x 1/100 + 9 x 1/1000

Question 34. Compare the values of the 5s in the number 1.055. Answer:

5s value is at hundredths and another 5s value is at thousandths place

Question 35. Compare the values of the 8s in the number 6.884. Answer:

8s place value is at tenths value and other 8s place value is at hundredths place

1.6 Compare Decimals

15.891 > 15.791

the 8 value at tenths place is greater than 7 at tenths place

8.205 < 8.250

the 0 at hundredths is less than 5 at hundredths

Both are same

3.600 = 3.6

Order the decimals from least to greatest. Question 39. 7.008, 7.09, 7.180 Answer:

7.008<7.09

7.09 <7.18

so the decimals from least to greatest are 7.008 , 7.09, 7.180

Question 40. 50.426, 50.42, 50 Answer:

50 < 50.42

50.42 < 50.426

so the decimals from least to greatest are 50, 50.42, 5.0426

Newton says it weighs less than 0.519 ounce  but more than 0.453 ounce,

so Blue berry waffle 0.512 which is in between 0.453<0.512<0.519

and We have more than 0.453 is 0.459 ounce which is Peanut butter and is less than 0.519 ounce

So Peanut butter 0.453 is in between 0.453<0.459<0.519

so newton would have weighed Peanut butter 0.459 ounce

and it can be even Blueberry  waffle 0.512  ounce

newton’s treats could be Peanut butter ,Blueberry waffle

1.7 Round Decimals

Round the number to the place of the underlined digit. Question 42. 9. 5 14 Answer:

if 9 is digit then it is rounded as 9.0

if 5 then  it is rounded as 9.500

if 1 then it is rounded as 9.520

if  4 then it is rounded as 9.520,9.510

Question 43. 1.0 2 7 Answer:

1.0 2 7 at 2 it is rounded as 1.03

Question 44. 8 .469 Answer:

8 .469, 8 is rounded as 8.500 or 8 or 8.000

Question 45. 3 2.501 Answer:

3 is rounded as  30.000

5- 32.6 or 33

Question 46. Round 0.176 to the nearest Answer:

Question 47. Round 6.538 to the nearest tenth. hundredth. Answer:

Question 48. Round 7.425. Nearest whole number: Nearest tenth: Nearest hundredth: Answer:

Nearest whole number:8.000, 8 Nearest tenth:7.500 Nearest hundredth:7.430

Question 49. Round 2.108. Nearest whole number: Nearest tenth: Nearest hundredth: Answer:

Nearest whole number:2.000, 2 Nearest tenth:2.100 Nearest hundredth:2.100

Final Words:

It is very important for the students to understand and learn the fundamentals at the primary level itself. Here we have prepared the questions as per the latest edition 2019. Keep the textbook aside and try to solve the problems by referring to our Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts. To make you comfortable we have provided the solution key for Big Ideas Math Grade 5 Chapter 1 Place Value Concepts in the pdf format. Stay tuned to our CCSS Math Answers to get the latest updates of BIM Grade 5 Chapters.

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Envision Math Grade 5 Answer Key | Envision Math 5th Grade Textbook Answers

Envision math 5th grade textbook answer key | envision math grade 5 answers.

Envision Math Grade 5 Answers Topic 1 Numeration

• Topic 1.1 Place Value
• Topic 1.2 Comparing and Ordering Whole Numbers
• Topic 1.3 Decimal Place Value
• Topic 1.4 Comparing and Ordering Decimals
• Topic 1.5 Problem Solving
• Topic 1 Test Prep
• Topic 1 Reteaching

Envision Math 5th Grade Answer Key Topic 2 Addition and Subtraction Number Sense

• Topic 2.1 Mental Math
• Topic 2.2 Rounding Whole Numbers and Decimals
• Topic 2.3 Estimating Sums and Differences
• Topic 2.4 Adding and Subtracting
• Topic 2.5 Adding Decimals
• Topic 2.6 Subtracting Decimals
• Topic 2.7 Problem Solving
• Topic 2 Test Prep
• Topic 2 Reteaching

Envision Math Grade 5 Answer Key Topic 3 Reviewing Multiplication of Whole Numbers

• Topic 3.1 Multiplication Properties
• Topic 3.2 Estimating Products
• Topic 3.3 Multiplying by 1-Digit Numbers
• Topic 3.4 Multiplying by 2-Digit Numbers
• Topic 3.5 Estimating and Multiplying with Greater Numbers
• Topic 3.6 Exponents
• Topic 3.7 Problem Solving
• Topic 3 Test Prep
• Topic 3 Reteaching

Envision Math 5th Grade Textbook Answers Topic 4 Division of Whole Numbers

• Topic 4.1 Using Patterns to Divide
• Topic 4.2 Estimating Quotients
• Topic 4.3 Connecting Models and Symbols
• Topic 4.4 Dividing by 1-Digit Divisors
• Topic 4.5 Zeros in the Quotient
• Topic 4.6 Dividing by 2-Digit Divisors
• Topic 4.7 More Dividing by 2-Digit Divisors
• Topic 4.8 Division: Estimating and Dividing with Greater Numbers
• Topic 4.9 Problem Solving
• Topic 4 Test Prep
• Topic 4 Reteaching

Envision Math 5th Grade Textbook Answer Key Topic 5 Variables and Expressions

• Topic 5.1 Variables and Expressions
• Topic 5.2 Patterns and Expressions
• Topic 5.3 More Patterns and Expressions
• Topic 5.4 Distributive Property
• Topic 5.5 Order of Operations
• Topic 5.6 Problem Solving
• Topic 5 Test Prep
• Topic 5 Reteaching

Envision Math Grade 5 Online Textbook Topic 6 Multiplying Decimals

• Topic 6.1 Multiplying Decimals by 10, 100, or 1,000
• Topic 6.2 Multiplying a Whole Number and a Decimal
• Topic 6.3 Estimating the Product of a Whole Number and a Decimal
• Topic 6.4 Multiplying Two Decimals
• Topic 6.5 Multiplying with Zeros in the Product
• Topic 6.6 Problem Solving
• Topic 6 Test Prep
• Topic 6 Reteaching

5th Grade Envision Math Answers Topic 7 Dividing Decimals

• Topic 7.1 Dividing Decimals by 10, 100, or 1,000
• Topic 7.2 Dividing a Decimal by a Whole Number
• Topic 7.3 Estimation: Decimals Divided by Whole Numbers
• Topic 7.4 Dividing a Decimal by a Decimal
• Topic 7.5 Problem Solving
• Topic 7 Test Prep
• Topic 7 Reteaching

Envision Math Answer Key Grade 5 Topic 8 Shapes

• Topic 8.1 Basic Geometric Ideas
• Topic 8.2 Measuring and Classifying Angles
• Topic 8.3 Polygons
• Topic 8.4 Triangles
• Topic 8.5 Quadrilaterals
• Topic 8.6 Problem Solving
• Topic 8 Test Prep
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 5 Answers Topic 9 Factors and Multiples

• Topic 9.1 Understanding Factors
• Topic 9.2 Prime and Composite Numbers
• Topic 9.3 Finding Prime Factors
• Topic 9.4 Common Factors and Greatest Common Factor
• Topic 9.5 Problem Solving
• Topic 9 Test Prep
• Topic 9 Reteaching

Pearso n Envision Math Grade 5 Answer Keys Topic 10 Fractions, Mixed Numbers, and Decimals

• Topic 11.1 Adding and Subtracting Fractions with Like Denominators
• Topic 11.2 Common Multiples and LCM
• Topic 11.3 Adding Fractions with Unlike Denominators
• Topic 11.4 Subtracting Fractions with Unlike Denominators
• Topic 11.5 Adding Mixed Numbers
• Topic 11.6 Subtracting Mixed Numbers
• Topic 11.7 Problem Solving
• Topic 11 Test Prep
• Topic 11 Reteaching

Pearson Math Grade 5 Answer Keys Topic 11 Adding and Subtracting Fractions and Mixed Numbers

• Topic 10.1 Meaning of Fractions
• Topic 10.2 Fractions and Division
• Topic 10.3 Mixed Numbers and Improper Fractions
• Topic 10.4 Equivalent Fractions
• Topic 10.5 Comparing and Ordering Fractions and Mixed Numbers
• Topic 10.6 Fractions in Simplest Form
• Topic 10.7 Tenths and Hundredths
• Topic 10.8 Thousandths
• Topic 10.9 Fractions and Decimals on the Number Line
• Topic 10.10 Problem Solving
• Topic 10 Test Prep
• Topic 10 Reteaching

Pearson Education Answer Key Math 5th Grade Topic 12 Multiplying and Dividing Fractions and Mixed Numbers

• Topic 12.1 Multiplying Fractions and Whole Numbers
• Topic 12.2 Multiplying Two Fractions
• Topic 12.3 Dividing a Whole Number by a Fraction
• Topic 12.4 Dividing Two Fractions
• Topic 12.5 Problem Solving
• Topic 12.6 Multiplying Mixed Numbers
• Topic 12.7 Dividing Mixed Numbers
• Topic 12.8 Problem Solving
• Topic 12 Test Prep
• Topic 12 Reteaching

Envision Math Grade 3 Answers Topic 13 Length, Perimeter, and Area

• Topic 13.1 Using Customary Units of Length
• Topic 13.2 Using Metric Units of Length
• Topic 13.3 Perimeter
• Topic 13.4 Area of Squares and Rectangles
• Topic 13.5 Area of Parallelograms
• Topic 13.6 Area of Triangles
• Topic 13.7 Problem Solving
• Topic 13 Test Prep
• Topic 13 Reteaching

Envision Math 5th Grade Answer Key Topic 14 Solids

• Topic 14.1 Solids
• Topic 14.2 Relating Shapes and Solids
• Topic 14.3 Surface Area
• Topic 14.4 Views of Solids
• Topic 14.5 Models and Volume
• Topic 14.6 Volume
• Topic 14.7 Problem Solving
• Topic 14 Test Prep
• Topic 14 Reteaching

Envision Math Grade 3 Answer Key Topic 15 Integers

• Topic 15.1 Understanding Integers
• Topic 15.2 Comparing and Ordering Integers
• Topic 15.3 Integers and the Number Line
• Topic 15.4 Adding Integers
• Topic 15.5 Subtracting Integers
• Topic 15.6 Simplifying Expressions
• Topic 15.7 Problem Solving
• Topic 15 Test Prep
• Topic 15 Reteaching

Envision Math 5th Grade Textbook Answers Topic 16 Solving and Writing Equations

• Topic 16.1 Solving Addition and Subtraction Equations
• Topic 16.2 Solving Multiplication and Division Equations
• Topic 16.3 Problem Solving
• Topic 16.4 Patterns and Equations
• Topic 16.5 More Patterns and Equations
• Topic 16.6 Problem Solving
• Topic 16 Test Prep
• Topic 16 Reteaching

Envision Math 5th Grade Textbook Answer Key Topic 17 Percent

• Topic 17.1 Understanding Ratios
• Topic 17.2 Understanding Percent
• Topic 17.3 Percents, Fractions, and Decimals
• Topic 17.4 Finding Percent of a Whole Number
• Topic 17.6 Problem Solving
• Topic 17 Test Prep
• Topic 17 Reteaching

Envision Math Grade 5 Online Textbook Topic 18 Equations and Graphs

• Topic 18.1 Ordered Pairs
• Topic 18.2 Line Graphs
• Topic 18.3 Graphing Equations
• Topic 18.4 Problem Solving
• Topic 18 Test Prep
• Topic 18 Reteaching

5th Grade Envision Math Answers Topic 19 Graphs and Data

• Topic 19.1 Bar Graphs and Picture Graphs
• Topic 19.2 Histograms
• Topic 19.3 Circle Graphs
• Topic 19.4 Make a Graph
• Topic 19.5 Mean
• Topic 19.6 Median, Mode, and Range
• Topic 19.7 Outcomes
• Topic 19.8 Writing Probability as a Fraction
• Topic 19.9 Problem Solving
• Topic 19 Test Prep
• Topic 19 Reteaching

Envision Math Answer Key Grade 5 Topic 20 Constructions

• Topic 20.1 Constructing Angles
• Topic 20.2 Constructing Lines
• Topic 20.3 Constructing Shapes
• Topic 20.4 Problem Solving
• Topic 20 Test Prep
• Topic 20 Reteaching

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Home > CCA > Chapter 5 > Lesson 5.3.1

Lesson 5.1.1, lesson 5.1.2, lesson 5.1.3, lesson 5.2.1, lesson 5.2.2, lesson 5.2.3, lesson 5.3.1, lesson 5.3.2, lesson 5.3.3.

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