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Comparing Rational Numbers

This worksheet focuses on comparing rational numbers, including fractions, decimals, and mixed numbers, and placing them on a number line.

Grade 11 Math Number SenseComparing Rational Numbers
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerLong Answer

Standards

CCSS.MATH.CONTENT.7.NS.A.2.DCCSS.MATH.CONTENT.7.NS.A.3

Topics

mathgrade 11rational numberscomparison
7 sections · Free to use · Printable
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Comparing Rational Numbers

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Date:

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

1. When comparing two positive rational numbers, the number with the greater   value is the larger number.

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

3. On a number line, the number further to the right is always   than the number to its left.

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

a

-3/4

b

-0.7

c

-5/8

d

-0.78

2. Which symbol correctly compares 2.5 and 5/2?

a

>

b

<

c

=

d

None of the above

1. Compare the following rational numbers using <, >, or =. Show your work.

a) 3/5   0.65

b) -2 1/4   -2.25

c) 7/8   0.87

1. Plot the following rational numbers on the number line below: -1/2, 0.75, 1/4, -1.25

-2-1012

1. Sarah ran 3/4 of a mile, while John ran 0.8 miles. Who ran a greater distance? Explain your reasoning.