Lesson 14: Practice Problems

Problem 1

Here are diagrams that represent 0.137 and 0.284.

A base ten diagram representing 0.137 and another one showing 0.284.

  1. Use the diagram to find the value of . Explain your reasoning.

  2. Calculate the sum vertically.

    A vertical addition problem of 0.137 plus 0.284 with the decimals lined up. There are 4 boxes to write in the answer.

  3. How was your reasoning about the same with the two methods? How was it different?

Problem 2

For the first two problems, circle the vertical calculation where digits of the same kind are lined up. Then, finish the calculation and find the sum. For the last two problems, find the sum using vertical calculation.

  1. Three vertical addition problems of 3.25 plus 1.0. The 1 is under the 2 in the first problem, under the 3 in the second, and under the 5 in the third.

  2. Three vertical addition problems of 0.5 plus 1.15. The .5 is over the one-tenth digit first, then over the five hundredth digit, and same in third but with 0's at the end of both.

Problem 3

Here is a base-ten diagram that represents 1.13. Use the diagram to find .

Explain or show your reasoning.

A base-ten diagram that represents 1.13

Problem 4

Complete the calculations so that each shows the correct difference.

  1. subtraction problem with blanks, 142.6 minus 1.4 equals blank blank blank .2
  2. subtraction problem with blanks, 38.60 minus 6.75 equals blank blank decimal blank 5
  3. subtraction problem with blanks, 241.76 minus 2.18 equals blank blank blank decimal blank 8

Problem 5

A rectangular prism measures cm by 12 cm by cm.

  1. Calculate the number of cubes with edge length cm that fit in this prism.

  2. What is the volume of the prism in ? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Problem 6 From Unit 2 Lesson 9

At a constant speed, a car travels 75 miles in 60 minutes. How far does the car travel in 18 minutes? If you get stuck, consider using the table.

minutes

distance in miles