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Eureka Math Grade 6 Module 2 Lesson 15 Answer Key

Engage ny eureka math 6th grade module 2 lesson 15 answer key, eureka math grade 6 module 2 lesson 15 example answer key.

Use Mental Math to Find Quotients

Example 1. Use mental math to evaluate 105 ÷ 35. Answer: \(\frac{105 \times 2}{35 \times 2}=\frac{210}{70}=\frac{21}{7}=3\)

Example 2. Mental Math and Division of Decimals Evaluate the expression 175 ÷ 3. 5 using mental math techniques. Answer: \(\frac{175 \times 2}{3.5 \times 2}\) = 50

Eureka Math Grade 6 Module 2 Lesson 15 Example Answer Key 1

Example 4: Mental Math and Reasonable Work Shelly was given this number sentence and was asked to place the decimal point correctly in the quotient. 55. 6875 ÷ 6.75 = 0.825 Do you agree with Shelly? Answer: No, I do not agree with Shelly. When I round the dividend to 54 and the divisor to 6, the quotient is 9. I know that 91 is in the ones place, so the decimal should be placed after the 8 in the quotient.

Eureka Math Grade 6 Module 2 Lesson 15 Example Answer Key 2

Eureka Math Grade 6 Module 2 Lesson 15 Exercise Answer Key

Use mental math techniques to evaluate the expressions.

Exercise 1. 770 ÷ 14 Answer: \(\frac{770 \div 7}{14 \div 7}=\frac{110}{2}=55\)

Exercise 2. 1005 ÷ 5 Answer: \(\frac{1,005 \times 2}{5 \times 2}=\frac{2010}{10}=201\)

Exercise 3. 1,500 ÷ 8 Answer: \(\frac{1,500 \div 2}{8 \div 2}=\frac{750 \div 2}{4 \div 2}=\frac{375}{2}=187.5\)

Exercise 4. 1,260 ÷ 5 Answer: \(\frac{1,250}{10}\) = 126 × 2 = 252

Exercise 5. 25 ÷ 6.25 Answer: \(\frac{25 \times 4}{6.25 \times 4}=\frac{100}{25}=4\)

Exercise 6. 6.3 ÷ 1.5 Answer: \(\frac{6.3 \times 2}{1.5 \times 2}=\frac{12.6}{3}=4.2\)

Exercise 7. 425 ÷ 2.5 Answer: \(\frac{425 \times 2}{2.5 \times 2}=\frac{850}{5}=170\)

Eureka Math Grade 6 Module 2 Lesson 15 Problem Set Answer Key

Use mental math, estimation, and the division algorithm to evaluate the expressions. Question 1. 118.4 ÷ 6.4 Answer: 18.5

Question 2. 314.944 ÷ 3.7 Answer: 85. 12

Question 3. 1,840.5072 ÷ 23.56 Answer: 78. 12

Question 4. 325 ÷ 2.5 Answer: 130

Question 5. 196 ÷ 3.5 Answer: 56

Question 6. 405 ÷ 4.5 Answer: 90

Question 7. 3,437.5 ÷ 5.5 Answer: 625

Question 8. 393.75 ÷ 5.25 Answer: 75

Question 9. 2,625 ÷ 6.25 Answer: 420

Question 10. 231 ÷ 8.25 Answer: 28

Question 11. 92 ÷ 5.75 Answer: 16

Question 12. 196 ÷ 12.25 Answer: 16

Question 13. 117÷6.5 Answer: 18

Question 14. 936 ÷ 9.75 Answer: 96

Question 15. 305 ÷ 12.2 Answer: 25

Place the decimal point in the correct place to make the number sentence true.

Question 16. 83.375 ÷ 2.3 = 3,625 Answer: 83.375 ÷ 2.3 = 36.25

Question 17. 183.575 ÷ 5,245 = 3.5 Answer: 183.575 ÷ 52.45 = 3.5

Question 18. 326,025 ÷ 9.45 = 3.45 Answer: 32.6025 ÷ 9.45 = 3.45

Question 19. 449.5 ÷ 725 = 6.2 Answer: 449.5 ÷ 72.5 = 6.2

Question 20. 446,642 ÷ 85.4 = 52.3 Answer: 4,466.42 ÷ 85.4 = 52.3

Eureka Math Grade 6 Module 2 Lesson 15 Exit Ticket Answer Key

Eureka Math Grade 6 Module 2 Lesson 15 Exit Ticket Answer Key 3

Eureka Math Grade 6 Module 2 Lesson 15 Opening Exercise Answer Key

Use mental math to evaluate the numeric expressions.

a. 99 + 44 Answer: 44 gives 1 to 99. 100 + 43 = 143

b. 86 – 39 Answer: Increase both by 1. 87 – 40 = 47

c. 50 × 14 Answer: Double 50; halve 14. 100 × 7 = 700

d. 180 ÷ 5 Answer: Double both. 360 ÷ 10 = 36

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