Comparing and Ordering Fractions and Decimals

Given a box split in 100 pieces with 28 shaded, which of the following would represent the shaded portion?

• 28/100

• 100/28

• 2.80

• .28

Look at the the following set of numbers. If ordering from least to greatest, whose explanation is correct? Circle the correct explanation. .

5 , 9/10, 3/4

• a. Noah says the order is ¾, .5, 9/10 because ¾ is .34, which is less than .5 because 5 is greater than 3 and 9/10 is greater because 9 is greater than 3 and 5

• b. Kylie says the order is .5, ¾, 9/10 because .5 is ½, which is less than ¾ and 9/10 is almost 1 whole, which is greater than ¾.

Part A: Which of the following set of numbers is in order from least to greatest?

• ¾ , .89, 1/5

• .89, ¾ , 1/5

• 1/5, 3/4, .89

Part B: Use place value to explain how you chose the correct ordered set of numbers in Part A.

Evaluate responses using AI:

OFF

Compare the following using <, = , or > 1/5 ____ 8/10

• <

• >

Compare the following using <, = , or > 3/5 ______ .5

• <

• >

Which of the following are true? Check all that apply

• .2 > 2/5

• 5/100 = 0.5

• 1/4 > .75

• 1/5 < .58

Students are measuring bolts for a an engineering project. red bolt is 3/10 inch across. A green bolt is 3/4 inch across, and a blue bolt is 1/8 inch across. List the bolts in order from greatest to least.

• 3/10 3/4 1/8

• 3/4 3/10 1/8

• 1/8 3/10 3/4

• 3/4 1/8 3/10

Rewrite the decimal as a fraction 0.34

Rewrite the fraction as a decimal: 3/4