Lesson 9: Practice Problems

Problem 1

Here is one way to find using partial quotients.

Show a different way of using partial quotients to divide 2,105 by 5.

A division solution for 2,105 divided by 5 showing partial quotients.

Problem 2

Andre and Jada both found  using the partial quotients method, but they did the calculations differently, as shown here.

Andre's and Jada's division solution for 657 divided by 3 using partial quotients.

  1. How is Jada’s work the same as Andre’s work? How is it different?

  2. Explain why they have the same answer.

Problem 3

Which might be a better way to evaluate : drawing base-ten diagrams or using the partial quotients method? Explain your reasoning.

Problem 4

Here is an incomplete calculation of .

Write the missing numbers (marked with “?”) that would make the calculation complete.

An incomplete calculation of 534 divided by 6.

Problem 5

Use the partial quotients method to find .

Problem 6 From Unit 5 Lesson 8

Which of the polygons has the greatest area?

  1. A rectangle that is 3.25 inches wide and 6.1 inches long.

  2. A square with side length of 4.6 inches.

  3. A parallelogram with a base of 5.875 inches and a height of 3.5 inches.

  4. A triangle with a base of 7.18 inches and a height of 5.4 inches.

Problem 7 From Unit 5 Lesson 4

One micrometer is a millionth of a meter. A certain spider web is 4 micrometers thick. A fiber in a shirt is 1 hundred-thousandth of a meter thick.

  1. Which is wider, the spider web or the fiber? Explain your reasoning.

  2. How many meters wider?