Organizing Real Numbers Worksheet

A Grade 7 Math worksheet focusing on classifying, comparing, and ordering real numbers, including rational and irrational numbers.

Grade 7 Math Number SenseOrganizing Real Numbers

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.8.NS.A.1CCSS.MATH.CONTENT.8.NS.A.2

Topics

mathgrade 7real numbersrationalirrationalnumber sense

8 sections · Free to use · Printable

Organizing Real Numbers

Name:

Date:

Score:

Read each question carefully and follow the instructions to classify, compare, and order real numbers.

1. Which of the following numbers is an irrational number?

0.75

√9

-5

2. Which set of numbers contains only rational numbers?

{√2, 0, -3}

{1/2, 0.333..., √16}

{π, √7, 5}

{-1, √3, 0.2}

Fill in the blank with 'Rational' or 'Irrational'.

3. The number 0.121212... is a(n) number.

4. The number √25 is a(n) number.

5. The number -7.3458... (non-repeating, non-terminating) is a(n) number.

6. Use <, >, or = to compare the following numbers.

√10

3.1

2/3

0.66

-4

-√16

7. Order the following numbers from least to greatest.

Numbers: √5, 2.3, 7/3, 2.25

8. Order the following numbers from greatest to least.

Numbers: -0.5, -√0.25, -1/3, -0.4

9. Plot the following numbers on the number line below: -2.5, 0, 1.75, √4

10. All integers are rational numbers.

True

False

11. The product of two irrational numbers is always irrational.

True

False