Eureka Math Grade 5 Answer Key | Engage NY Math 5th Grade Answer Key Solutions

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EngageNY Math Grade 5 Answer Key | Eureka Math 5th Grade Answers Key PDF Free Download

Eureka Grade 5 Mathematics Module 1 to Module 6 Lesson-wise Answer key PDF links are provided online to access and download for free of cost. After downloading the Engage NY Math Fifth Grade Solutions Pdf , you can practice more with the help of Mid Module and End Module Assessments, Practice Tools. These resources boost up your confidence and identify your level of preparation and areas your lagging. So, download the Eureka Math Grade 5 Answer Keys for all modules and ace up your preparation.

  • Eureka Math Grade 5 Module 1 Answer Key
  • Eureka Math Grade 5 Module 2 Answer Key
  • Eureka Math Grade 5 Module 3 Answer Key
  • Eureka Math Grade 5 Module 4 Answer Key
  • Eureka Math Grade 5 Module 5 Answer Key
  • Eureka Math Grade 5 Module 6 Answer Key

Key Points of Eureka Grade 5 Mathematics Solution Key PDF

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  • Students gain a complete body of math knowledge, not just a discrete set of skills by using the Eureka Math Book 5th Grade Solutions Pdf.
  • Our subject experts have made the Engage NY Eureka Math Grade 5 Solution key as per the Latest Common Core Curriculum.

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Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)

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Eureka Math Grade 5 Module 4 Lesson 29 Answer Key

Engage ny eureka math 5th grade module 4 lesson 29 answer key, eureka math grade 5 module 4 lesson 29 problem set answer key.

Question 1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you.

Example: 2 ÷ 0.1 = 2 ÷ \(\frac{1}{10}\) = 20 There are 10 tenths in 1 whole. There are 20 tenths in 2 wholes.

a. 5 ÷ 0.1 There are ____ tenths in 1 whole. There are ____ tenths in 5 wholes.

Answer: There are 10 tenths in 1 whole. There are 50 tenths in 5 wholes.

Explanation: Given that 5 ÷ 0.1 which is 50. In that, there are 10 tenths in 1 whole and there are 50 tenths in 5 wholes.

There are ____ tenths in 1 whole. There are ____ tenths in 8 wholes.

Answer: There are 10 tenths in 1 whole. There are 8 tenths in 5 wholes.

Explanation: Given that 8 ÷ 0.1 which is 80. In that, there are 10 tenths in 1 whole and there are 80 tenths in 8 wholes.

c. 5.2 ÷ 0.1

There are tenths in 5 wholes. There are ____ tenths in 2 tenths. There are ____ tenths in 5.2.

Answer: There are 2 tenths in 2 tenths. There are 52 tenths in 5.2.

d. 8.7 ÷ 0.1 There are ____ tenths in 8 wholes. There are ____ tenths in 7 tenths. There are ____ tenths in 8.7.

Answer: There are 80 tenths in 8 wholes. There are 7 tenths in 7 tenths. There are 87 tenths in 8.7.

Explanation: Given that 8.7 ÷ 0.1 which is 87. In that, there are 80 tenths in 8 whole and there are 7 tenths in 7 tenths and there are 87 tenths in 8.7.

e. 5 ÷ 0.01 There are 100 hundredths in 1 whole. There are 500 hundredths in 5 wholes.

Answer: There are ____ hundredths in 1 whole. There are ____ hundredths in 5 wholes.

Explanation: Given that 5 ÷ 0.01 which is 500. In that, there are 100 hundredths in 1 whole and there are 500 hundredths in 5 wholes.

f. 8 ÷ 0.01 There are ____ hundredths in 1 whole. There are ____ hundredths in 8 wholes.

Answer: There are 100 hundredths in 1 whole. There are 800 hundredths in 8 wholes.

Explanation: Given that 8 ÷ 0.01 which is 800. In that, there are 100 hundredths in 1 whole and there are 800 hundredths in 8 wholes.

g. 5.2 ÷ 0.01 There are ____ hundredths in 5 wholes. There are ____ hundredths in 2 tenths. There are ____ hundredths in 5.2.

Answer: There are 500 hundredths in 1 whole. There are 20 hundredths in 5 tenths. There are 520 hundredths in 5.2.

Explanation: Given that 5.2 ÷ 0.01 which is 520. In that, there are 500 hundredths in 1 whole and there are 20 hundredths in 5 tenths and there are 520 hundredths in 5.2.

h. 8.7 ÷ 0.01 There are ____ hundredths in 8 wholes. There are ____ hundredths in 7 tenths. There are ____ hundredths in 8.7.

Answer: There are 800 hundredths in 8 whole. There are 70 hundredths in 7 tenths. There are 870 hundredths in 8.7.

Explanation: Given that 8.7 ÷ 0.01 which is 870. In that, there are 800 hundredths in 8 whole and there are 70 hundredths in 7 tenths and there are 870 hundredths in 8.7.

Question 2. Divide. a. 6 ÷ 0.1

Answer: 6 ÷ 0.1 = 60.

Explanation: The division of 6 ÷ 0.1 is 60.

b. 18 ÷ 0.1

Answer: 18 ÷ 0.1 = 180.

Explanation: The division of 18 ÷ 0.1 is 180.

c. 6 ÷ 0.01

Answer: 6 ÷ 0.01 = 600.

Explanation: The division of 6 ÷ 0.01 is 600.

d. 1.7 ÷ 0.1

Answer: 1.7 ÷ 0.1 = 17.

Explanation: The division of 1.7 ÷ 0.1 is 17.

e. 31 ÷ 0.01

Answer: 31 ÷ 0.01 = 3,100.

Explanation: The division of 31 ÷ 0.01 is 3,100.

f. 11 ÷ 0.01

Answer: 11 ÷ 0.01 = 1,100.

Explanation: The division of 11 ÷ 0.01 is 1,100.

g. 125 ÷ 0.1

Answer: 125 ÷ 0.1 = 1,250.

Explanation: The division of 125 ÷ 0.1 is 1,250.

h. 3.74 ÷ 0.01

Answer: 3.74 ÷ 0.01 = 374.

Explanation: The division of 3.74 ÷ 0.01 is 374.

i. 12.5 ÷ 0.01

Answer: 12.5 ÷ 0.01 = 1,250.

Explanation: The division of 12.5 ÷ 0.01 is 1,250.

Question 3. Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?

Answer: Yung bought 46 pieces of gum.

Explanation: Here, Yung bought $4.60 worth of bubble gum, and each piece of gum cost $0.10. So the number of pieces of bubble gum did Yung bought is $4.60 ÷ $0.10 = $46. So Yung bought 46 pieces of gum.

Question 4. Cheryl solved a problem: 84 ÷ 0.01 = 8,400. Jane said, “Your answer is wrong because when you divide, the quotient is always smaller than the whole amount you start with, for example, 6 ÷ 2 = 3 and 100 ÷ 4 = 25.” Who is correct? Explain your thinking.

Answer: Some examples are, 84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840.

Explanation: Cheryl is correct and Jane is correct only some of the time and Cheryl can help Jane understand by showing some examples like, 84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840.

Question 5. The U.S. Mint sells 2 ounces of American Eagle gold coins to a collector. Each coin weighs one-tenth of an ounce. How many gold coins were sold to the collector? Answer: The number of gold coins was sold to the collector is 20 gold coins.

Explanation: Here, U.S. Mint sells 2 ounces of American Eagle gold coins to a collector and each coin weighs one-tenth of an ounce, so the number of gold coins were sold to the collector is 2 ÷ 1/10 which is 2 ÷ 0.1 = 20 gold coins.

Eureka Math Grade 5 Module 4 Lesson 29 Exit Ticket Answer Key

Question 1. 8.3 is equal to _______ tenths _______ hundredths Answer: 83 tenths 830 hundredths.

Explanation: Given that the number is 8.3 which is equal to 83 tenths and 830 hundred.

Question 2. 28 is equal to _______ hundredths _______ tenths Answer: 2800 tenths 830 hundredths.

Question 3. 15.09 ÷ 0.01 = _______ Answer: 15.09 ÷ 0.01 = 1,509.

Explanation: Given that the equation is 15.09 ÷ 0.01 which is equal to 1,509.

Question 4. 267.4 ÷ \(\frac{1}{10}\) = _______ Answer: 267.4 ÷ \(\frac{1}{10}\) = 2,674

Explanation: Given that the equation is 267.4 ÷ \(\frac{1}{10}\) which is equal to 2,674.

Question 5. 632.98 ÷ \(\frac{1}{100}\) = _______ Answer: 632.98 ÷ \(\frac{1}{100}\) = 63,298

Explanation: Given that the equation is 632.98 ÷ \(\frac{1}{100}\) which is equal to 63,298.

Eureka Math Grade 5 Module 4 Lesson 29 Homework Answer Key

Question 1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you. a. 9 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 9 wholes.

Answer: There are 10 tenths in 1 whole. There are 90 tenths in 9 wholes.

Explanation: Given that 9 ÷ 0.1 which is 90. In that, there are 10 tenths in 1 whole and there are 90 tenths in 9 wholes.

b. 6 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 6 wholes.

Answer: There are 10 tenths in 1 whole. There are 60 tenths in 6 wholes.

Explanation: Given that 6 ÷ 0.1 which is 60. In that, there are 10 tenths in 1 whole and there are 60 tenths in 6 wholes.

c. 3.6 ÷ 0.1 There are ______ tenths in 3 wholes. There are ______ tenths in 6 tenths. There are ______ tenths in 3.6.

Answer: There are 30 tenths in 3 wholes. There are 6 tenths in 6 tenths. There are 36 tenths in 3.6.

Explanation: Given that 3.6 ÷ 0.1 which is 36. In that, there are 30 tenths in 3 wholes and there are 6 tenths in 6 tenths and there are 36 tenths in 3.6.

d. 12.8 ÷ 0.1 There are ______ tenths in 12 wholes. There are ______ tenths in 8 tenths. There are ______ tenths in 12.8.

Answer: There are 120 tenths in 12 wholes. There are 8 tenths in 8 tenths. There are 128 tenths in 12.8.

Explanation: Given that 12.8 ÷ 0.1 which is 128. In that, there are 120 tenths in 12 wholes and there are 8 tenths in 8 tenths and there are 128 tenths in 12.8.

e. 3 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 3 wholes.

Answer: There are 100 tenths in 1 whole. There are 300 tenths in 3 wholes.

Explanation: Given that 3 ÷ 0.1 which is 30. In that, there are 100 tenths in 1 whole and there are 300 tenths in 3 wholes.

f. 7 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 7 wholes.

Answer: There are 100 tenths in 1 whole. There are 700 tenths in 7 wholes.

Explanation: Given that 7 ÷ 0.1 which is 70. In that, there are 100 tenths in 1 whole and there are 700 tenths in 7 wholes.

g. 4.7 ÷ 0.01 There are ______ tenths in 4 wholes. There are ______ tenths in 7 tenths. There are ______ tenths in 4.7.

Answer: There are 400 tenths in 4 wholes. There are 70 tenths in 7 tenths. There are 470 tenths in 4.7.

Explanation: Given that 4.7 ÷ 0.01 which is 470. In that, there are 400 tenths in 4 wholes and there are 70 tenths in 7 tenths and there are 470 tenths in 4.7.

h. 11.3 ÷ 0.01 There are ______ tenths in 11 wholes. There are ______ tenths in 3 tenths. There are ______ tenths in 11.3.

Answer: There are 1100 tenths in 11 wholes. There are 30 tenths in 3 tenths. There are 1130 tenths in 11.3.

Explanation: Given that 11.3 ÷ 0.01 which is 1,130. In that, there are 1100 tenths in 11 wholes and there are 30 tenths in 3 tenths and there are 1130 tenths in 11.3.

Question 2. Divide. a. 2 ÷ 0.1

Answer: 2 ÷ 0.1 = 20.

Explanation: The division of 2 ÷ 0.1 is 20.

b. 23 ÷ 0.1

Answer: 23 ÷ 0.1 = 230.

Explanation: The division of 23 ÷ 0.1 is 230.

c. 5 ÷ 0.01

Answer: 5 ÷ 0.01 = 500.

Explanation: The division of 5 ÷ 0.01 is 500.

d. 7.2 ÷ 0.1

Answer: 7.2 ÷ 0.1 = 72.

Explanation: The division of 7.2 ÷ 0.1 is 72.

e. 51 ÷ 0.01

Answer: 51 ÷ 0.01 = 5,100.

Explanation: The division of 51 ÷ 0.01 is 5,100.

f. 31 ÷ 0.1

Answer: 31 ÷ 0.1 = 310.

Explanation: The division of 31 ÷ 0.1 is 310.

g. 231 ÷ 0.1

Answer: 231 ÷ 0.1 = 2,310.

Explanation: The division of 231 ÷ 0.1 is 2,310.

h. 4.37 ÷ 0.01

Answer: 4.37 ÷ 0.01 = 437.

Explanation: The division of 4.37 ÷ 0.01 is 437.

i. 24.5 ÷ 0.01

Answer: 24.5 ÷ 0.01 = 2,450.

Explanation: The division of 24.5 ÷ 0.01 is 2,450.

Question 3. Giovanna is charged $0.01 for each text message she sends. Last month, her cell phone bill included a $12.60 charge for text messages. How many text messages did Giovanna send? Answer: The number of text messages did Giovanna send is 1,260.

Explanation: Here, Giovanna is charged $0.01 for each text message she sends, and in last month, her cell phone bill included a $12.60 charge for text messages. So the number of text messages did Giovanna send is $12.60 ÷ $0.01 which is 1,260.

Question 4. Geraldine solved a problem: 68.5 ÷ 0.01 = 6,850. Ralph said, “This is wrong because a quotient can’t be greater than the whole you start with. For example, 8 ÷ 2 = 4 and 250 ÷ 5 = 50.” Who is correct? Explain your thinking. Answer: Geraldine was correct.

Explanation: Geraldine was correct. As quotient can be greater than the whole start. So Geraldine was correct.

Question 5. The price for an ounce of gold on September 23, 2013, was $1,326.40. A group of 10 friends decide to equally share the cost of 1 ounce of gold. How much money will each friend pay? Answer: Each friend pays $1326.40 ÷ 10 which is $132.64.

Explanation: Here, the price for an ounce of gold on September 23, 2013, was $1,326.40 and a group of 10 friends decide to equally share the cost of 1 ounce of gold. So each friend pays $1326.40 ÷ 10 which is $132.64.

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