Unit 2 Post-Test: Decimals and Fractions

The expression 4 \times 1,000 + 9 \times 100 + 2 \times \frac{1}{10} + 5 \times \frac{1}{1,000} shows a number written in expanded form. Use the expression to write the number in decimal form. Write your answer in the blank.

Jake has three pieces of ribbon. The lengths of the ribbons are 136.7 centimeters, 136.85 centimeters, and 104.9 centimeters. What is the difference in length between the longest and shortest pieces of ribbon? Show your work.

centimeters

Janet buys 1 \frac{1}{4} yards of cloth. She uses \frac{3}{8} yard for a craft project. How much cloth, in yards, does Janet have left? Show your work.

yard left

Compare each pair of numbers using >, <, or =.

0.362 3.26

0.07 0.070

62.5 62.51

2.83 2.38

4.107 4.17

Aiden mixes together 1 \frac{1}{2} quarts of orange juice and 2 \frac{1}{4} quarts of pineapple juice. Then he adds 1 \frac{1}{4} quarts of seltzer to make punch. How much more juice than seltzer does Aiden use to make punch? Show your work.

Aiden uses quarts more juice than seltzer.

Write the missing power of 10 in each equation.

0.05 x = 5

x 0.4 = 400

0.20 x = 2

x 0.007= 70

The model below represents the sum of two mixed numbers. Write and solve an equation that shows the sum represented by the model. Show your work.

Equation:

Sum:

What is 1,000,000 written as a power of 10 in exponent form? Write your answer in the blank.