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Mindset 1 - Unit 5 - Lesson 4 - Speaking - Homework

KHANH CHI NGUYEN

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Eureka Math Grade 4 Module 5 Lesson 12 Answer Key

Eureka Math Answer Key for Grade 4 Chapter 12 meets the content and intent of the School Curriculum. By using the Eureka Math Answers Grade 4 Chapter 12, you can understand the topics easily. so, the students who wish to improve their math skills can go through our Eureka Grade 4 Chapter 12 Answer Key pdf.

Engage NY Eureka Math 4th Grade Module 5 Lesson 12 Answer Key

People of highly subject expertise prepared the solutions in a concise manner for easy grasping. The ace up your preparation using the Eureka Math Book 4th Grade Answer Key. By using the Eureka Math Answers Grade 4 Lesson 12, you can understand the concepts in depth and score the highest marks in the exam.

Eureka Math Grade 4 Module 5 Lesson 12 Problem Set Answer Key

a. Plot the following points on the number line without measuring. i. \(\frac{1}{3}\)

Answer: \(\frac{1}{3}\) = 0.33.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{1}{3}\) = 0.33. 1/3 = 0.33.

ii. \(\frac{5}{6}\)

Answer: \(\frac{5}{6}\) = 0.83.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{5}{6}\) = 0.83. 5/6 = 0.83.

iii. \(\frac{7}{12}\)

Answer: \(\frac{7}{12}\) = 0.58.

b. Use the number line in Part (a) to compare the fractions by writing >, ˂, or = on the lines. i. \(\frac{7}{12}\) __ \(\frac{1}{2}\)

Answer: \(\frac{7}{12}\) < \(\frac{1}{2}\)

Explanation: In the above-given question, given that, \(\frac{7}{12}\) = 7/12. 7/12 = 0.58. \(\frac{1}{2}\) = 1/2. 0.5. \(\frac{7}{12}\) < \(\frac{1}{2}\)

ii. \(\frac{7}{12}\) __ \(\frac{5}{6}\)

Answer: \(\frac{7}{12}\) < \(\frac{5}{6}\)

Explanation: In the above-given question, given that, \(\frac{7}{12}\) = 7/12. 7/12 = 0.58. \(\frac{5}{6}\) = 5/6. 0.83. \(\frac{7}{12}\) > \(\frac{1}{2}\)

Question 2. a. Plot the following points on the number line without measuring. i. \(\frac{11}{12}\)

Answer: \(\frac{11}{12}\) = 0.916.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{11}{12}\) = 11/12. 11/12 = 0.916.

ii. \(\frac{1}{4}\)

Answer: \(\frac{1}{4}\) = 0.25.

iii. \(\frac{3}{8}\)

Answer: \(\frac{3}{8}\) = 0.375.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{3}{8}\) = 3/8. 3/8 = 0.375.

b. Select two fractions from Part (a), and use the given number line to compare them by writing >, ˂, or =.

Answer: \(\frac{5}{6}\) >\(\frac{3}{8}\)

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{5}{6}\) = 5/6. 5/6 = 0.83. \(\frac{3}{8}\) = 3/8. 3/8 = 0.375.

c. Explain how you plotted the points in Part (a).

Answer: The points are 0.33, 0.83, 0.58.

Explanation: In the above-given question, given that, The points plotted in part a is, 0.33, 0.83, 0.58.

Question 3. Compare the fractions given below by writing > or ˂ on the lines. Give a brief explanation for each answer referring to the benchmarks 0, \(\frac{1}{2}\), and 1. a. \(\frac{1}{2}\) _________ \(\frac{3}{4}\)

Answer: \(\frac{1}{2}\) < \(\frac{3}{4}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{3}{4}\). 3/4 = 0.75. \(\frac{1}{2}\) < \(\frac{3}{4}\)

b. \(\frac{1}{2}\) _________ \(\frac{7}{8}\)

Answer: \(\frac{1}{2}\) < \(\frac{7}{8}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{7}{8}\). 7/8 = 0.875. \(\frac{1}{2}\) < \(\frac{7}{8}\)

c. \(\frac{2}{3}\) _________ \(\frac{2}{5}\)

Answer: \(\frac{2}{3}\) < \(\frac{2}{5}\)

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 0.66. \(\frac{2}{5}\). 2/5 = 0.4. \(\frac{2}{3}\) > \(\frac{2}{5}\).

d. \(\frac{9}{10}\) _________ \(\frac{3}{5}\)

Answer: \(\frac{9}{10}\) > \(\frac{3}{5}\)

Explanation: In the above-given question, given that, \(\frac{9}{10}\). 9/10 = 0.9. \(\frac{3}{5}\). 3/5 = 0.6. \(\frac{1}{2}\) > \(\frac{3}{4}\)

e. \(\frac{2}{3}\) _________ \(\frac{7}{8}\)

Answer: \(\frac{2}{3}\) > \(\frac{7}{8}\)

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 0.66. \(\frac{7}{8}\). 7/8 = 0.875. \(\frac{2}{3}\) >\(\frac{7}{8}\)

f. \(\frac{1}{3}\) _________ \(\frac{2}{4}\)

Answer: \(\frac{1}{3}\) >\(\frac{2}{4}\)

Explanation: In the above-given question, given that, \(\frac{1}{3}\). 1/3 = 0.33. \(\frac{2}{4}\). 2/4 = 0.5. \(\frac{1}{3}\) >\(\frac{2}{4}\)

g. \(\frac{2}{3}\) _________ \(\frac{5}{10}\)

Answer: \(\frac{2}{3}\) <\(\frac{5}{10}\)

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 0.66. \(\frac{5}{10}\). 5/10 = 0.5. \(\frac{2}{3}\) <\(\frac{5}{10}\)

h. \(\frac{11}{12}\) _________ \(\frac{2}{5}\)

Answer: \(\frac{11}{12}\) >\(\frac{12}{5}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 11/12 = 0.916. \(\frac{3}{4}\). 12/5 = 2.4. \(\frac{11}{12}\) >\(\frac{12}{5}\)

i. \(\frac{49}{100}\) _________ \(\frac{51}{100}\)

Answer: \(\frac{49}{100}\) >\(\frac{51}{100}\)

Explanation: In the above-given question, given that, \(\frac{49}{100}\). 49/100 = 0.49. \(\frac{51}{100}\). 51/100 = 0.51. \(\frac{49}{100}\) >\(\frac{51}{100}\)

j. \(\frac{7}{16}\) _________ \(\frac{51}{100}\)

Answer: \(\frac{7}{16}\) <\(\frac{51}{100}\)

Explanation: In the above-given question, given that, \(\frac{7}{16}\). 7/16 = 0.43. \(\frac{51}{100}\). 51/100 = 0.51. \(\frac{11}{12}\) <\(\frac{12}{5}\)

Eureka Math Grade 4 Module 5 Lesson 12 Exit Ticket Answer Key

Question 1. Plot the following points on the number line without measuring. a. \(\frac{8}{10}\)

Answer: \(\frac{8}{10}\) = 0.8.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{8}{10}\) = 8/10. 8/10 = 0.8.

b. \(\frac{3}{5}\)

Answer: \(\frac{3}{5}\) = 0.6.

c. \(\frac{1}{4}\)

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{1}{4}\) = 0.25. 1/4 = 0.25.

Question 2. Use the number line in Problem 1 to compare the fractions by writing >, ˂, or = on the lines. a. \(\frac{1}{4}\) _________ \(\frac{1}{2}\)

Answer: \(\frac{1}{4}\) >\(\frac{1}{2}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{1}{4}\). 1/4 = 0.25. \(\frac{1}{4}\) >\(\frac{1}{2}\)

b. \(\frac{8}{10}\) _________ \(\frac{3}{5}\)

Answer: \(\frac{8}{10}\) >\(\frac{3}{5}\)

Explanation: In the above-given question, given that, \(\frac{8}{10}\). 8/10 = 0.8. \(\frac{3}{5}\). 3/5 = 0.6. \(\frac{8}{10}\) >\(\frac{3}{5}\)

c. \(\frac{1}{2}\) _________ \(\frac{3}{5}\)

Answer: \(\frac{1}{2}\) <\(\frac{3}{5}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{3}{5}\). 3/5 = 0.6. \(\frac{1}{2}\) <\(\frac{3}{5}\)

d. \(\frac{1}{4}\) _________ \(\frac{8}{10}\)

Answer: \(\frac{1}{4}\) >\(\frac{8}{10}\)

Explanation: In the above-given question, given that, \(\frac{1}{4}\). 1/4 = 0.25. \(\frac{8}{10}\). 8/10 = 0.8. \(\frac{1}{4}\) <\(\frac{8}{10}\)

Eureka Math Grade 4 Module 5 Lesson 12 Homework Answer Key

Question 1. a. Plot the following points on the number line without measuring. i. \(\frac{2}{3}\)

Answer: \(\frac{2}{3}\) = 0.66.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{2}{3}\) = 2/3. 2/3 = 0.66.

ii. \(\frac{1}{6}\)

Answer: \(\frac{1}{6}\) = 0.16.

iii. \(\frac{4}{10}\)

Answer: \(\frac{4}{10}\) = 0.4.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{4}{10}\) = 0.4. 4/10 = 0.4.

b. Use the number line in Part (a) to compare the fractions by writing >, ˂, or = on the lines. i. \(\frac{2}{3}\) _________ \(\frac{1}{2}\)

Answer: \(\frac{2}{3}\) >\(\frac{1}{2}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{2}{3}\). 2/3 = 0.66. \(\frac{1}{4}\) >\(\frac{1}{2}\)

ii. \(\frac{4}{10}\) _________ \(\frac{1}{6}\)

Explanation: In the above-given question, given that, \(\frac{1}{4}\). 1/4 = 0.25. \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{1}{4}\) >\(\frac{1}{2}\)

Question 2. a. Plot the following points on the number line without measuring. i. \(\frac{5}{12}\)

Answer: \(\frac{5}{12}\) = 0.41.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{5}{12}\) = 0.41. 5/12 = 0.41.

ii. \(\frac{3}{4}\)

Answer: \(\frac{3}{4}\) = 0.75.

iii. \(\frac{2}{6}\)

Answer: \(\frac{2}{6}\) = 0.33.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{2}{6}\) = 0.33. 2/6 = 0.33.

Question 3. Compare the fractions given below by writing > or ˂ on the lines. Give a brief explanation for each answer referring to the benchmark of 0, \(\frac{1}{2}\), and 1.

a. \(\frac{1}{2}\) _________ \(\frac{1}{4}\)

Answer: \(\frac{1}{2}\) <\(\frac{1}{4}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{1}{4}\). 1/4 = 0.25. \(\frac{1}{4}\) <\(\frac{1}{2}\)

b. \(\frac{6}{8}\) _________ \(\frac{1}{2}\)

Answer: \(\frac{6}{8}\) >\(\frac{1}{2}\)

Explanation: In the above-given question, given that, \(\frac{1}{2}\). 1/2 = 0.5. \(\frac{6}{8}\). 6/8 = 0.75. \(\frac{6}{8}\) >\(\frac{1}{2}\)

c. \(\frac{3}{4}\) _________ \(\frac{3}{5}\)

Answer: \(\frac{3}{4}\) >\(\frac{3}{5}\)

Explanation: In the above-given question, given that, \(\frac{3}{4}\). 3/4 = 0.75. \(\frac{3}{5}\). 3/5 = 0.6. \(\frac{3}{4}\) >\(\frac{3}{5}\)

d. \(\frac{4}{6}\) _________ \(\frac{9}{12}\)

Answer: \(\frac{4}{6}\) <\(\frac{9}{12}\)

Explanation: In the above-given question, given that, \(\frac{4}{6}\). 4/6 = 0.66. \(\frac{9}{12}\). 9/12 = 0.75. \(\frac{4}{6}\) <\(\frac{9}{12}\)

e. \(\frac{2}{3}\) _________ \(\frac{1}{4}\)

Answer: \(\frac{2}{3}\) >\(\frac{1}{4}\)

Explanation: In the above-given question, given that, \(\frac{2}{3}\). 2/3 = 0.66. \(\frac{1}{4}\). 1/4 = 0.25. \(\frac{2}{3}\) >\(\frac{1}{4}\)

f. \(\frac{4}{5}\) _________ \(\frac{8}{12}\)

Answer: \(\frac{4}{5}\) >\(\frac{8}{12}\)

Explanation: In the above-given question, given that, \(\frac{4}{5}\). 4/5 = 0.8. \(\frac{8}{12}\). 8/12 = 0.66. \(\frac{4}{5}\) >\(\frac{8}{12}\)

g. \(\frac{1}{3}\) _________ \(\frac{3}{6}\)

Answer: \(\frac{1}{3}\) <\(\frac{3}{6}\)

Explanation: In the above-given question, given that, \(\frac{1}{3}\). 1/3 = 0.33. \(\frac{3}{6}\). 3/6 = 0.5. \(\frac{1}{3}\) <\(\frac{3}{6}\)

h. \(\frac{7}{8}\) _________ \(\frac{3}{5}\)

Answer: \(\frac{7}{8}\) >\(\frac{3}{5}\)

Explanation: In the above-given question, given that, \(\frac{7}{8}\). 7/8 = 0.875. \(\frac{3}{5}\). 3/5 = 0.6. \(\frac{7}{8}\) >\(\frac{3}{5}\)

i. \(\frac{51}{100}\) _________ \(\frac{5}{10}\)

Answer: \(\frac{51}{100}\) =\(\frac{5}{10}\)

Explanation: In the above-given question, given that, \(\frac{51}{100}\). 51/100 = 0.51. \(\frac{5}{10}\). 5/10 = 0.5. \(\frac{1}{4}\) = \(\frac{1}{2}\)

j. \(\frac{8}{14}\) _________ \(\frac{49}{100}\)

Answer: \(\frac{8}{14}\) > \(\frac{49}{100}\)

Explanation: In the above-given question, given that, \(\frac{49}{100}\). 49/100 = 0.49. \(\frac{8}{14}\). 8/14 = 0.57. \(\frac{8}{14}\) > \(\frac{1}{2}\)

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