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Comparing Rational Numbers

A Grade 10 math worksheet focusing on comparing and ordering rational numbers using various methods.

Grade 10 Math Number SenseComparing Rational Numbers
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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomMatchingTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSN.RN.B.3

Topics

mathgrade 10rational numberscomparingordering
8 sections · Free to use · Printable
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Comparing Rational Numbers

Name:

Date:

Score:

Read each question carefully and follow the instructions to compare and order rational numbers. Show all your work where applicable.

1. Which of the following rational numbers is the smallest?

a

-3/4

b

-0.8

c

-7/10

d

-0.72

2. Arrange the following numbers in ascending order: 1/3, 0.3, 3/10, 0.33

a

0.3, 3/10, 0.33, 1/3

b

3/10, 0.3, 0.33, 1/3

c

0.3, 3/10, 1/3, 0.33

d

3/10, 0.33, 0.3, 1/3

3. When comparing two negative rational numbers, the number closer to zero is  .

4. To compare fractions with different denominators, you must first find a  .

5. Compare -5/8 and -0.6. Explain your reasoning.

6. Plot the following rational numbers on the number line below and then order them from least to greatest: -1/2, 0.75, -1.25, 1/4

-2 -1 0 1 2

Order (least to greatest):  

Match each rational number on the left with an equivalent form on the right.

7. 0.6

 

a. 1/2

8. 50%

 

b. 3/5

9. 0.25

 

c. 1/4

10. All integers are rational numbers.

T

True

F

False