Name:    Try It Out -- Chapter 10, Lesson 5: Solving Problems by Working Backwards

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Jennifer and Molly play a game. Jennifer thought of a number and told Molly. The answer to the question was 2.4. Jennifer showed Molly the steps she took to get the answer. Order the steps Molly takes to calculate the original number.

 a. She multiplies 9.4 x 7 = 65.8. b. She multiplies 2.337 x 10 = 23.37. c. She divides 23.37 ÷ 4.1 = 5.7. d. She adds 5.7 + 3.7 = 9.4 e. She subtracts 2.4 - 0.063 = 2.337.

1.

What is Molly’s first step?

2.

What is her second step?

3.

What is her third step?

4.

What is her fourth step?

5.

What is her final step?

This time Molly thought of a number and told Jennifer the answer to the question is 1.31. Molly showed Jennifer the steps she took to get the answer. Order the steps Jennifer takes to calculate the original number.

 a. She multiplies 1.422 x 6 = 8.532. b. She multiplies 7.82 x 10 = 78.2. c. She adds 1.31 + 0.112 = 1.422 d. She subtracts 14.22 - 6.4 = 7.82. e. She divides 8.532 ÷ 0.6 = 14.22.

6.

What was Jennifer’s first step?

7.

What was her second step?

8.

What was her third step?

9.

What was her fourth step?

10.

What was her final step?