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Organizing Real Numbers

A Grade 8 math worksheet focusing on classifying and ordering real numbers, including rational and irrational numbers.

Grade 8 Math Number SenseOrganizing Real Numbers
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

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

Topics

mathgrade 8real numbersrationalirrationalnumber line
7 sections · Free to use · Printable
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Organizing Real Numbers

Name:

Date:

Score:

Read each question carefully and follow the instructions. Show your work where necessary.

1. Which of the following numbers is irrational?

a

√25

b

0.333...

c

π

d

-7

2. Which set of numbers contains only rational numbers?

a

{√3, 0.5, -2}

b

{1/2, 0.75, √4}

c

{π, 0.12122..., 9}

d

{-10, √5, 1.6}

Fill in the blank with 'rational' or 'irrational'.

3. The number 0.12345... (non-repeating, non-terminating) is  .

4. The number -3/4 is a   number.

5. The square root of 49 is a   number.

6. Order the following numbers from least to greatest: √16, 4.5, -3, 9/2.

7. Plot the following numbers on the number line below: -2.5, √9, 1/2, -4.

-5-3-1135

8. All integers are rational numbers.

T

True

F

False

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

T

True

F

False

10. Explain the difference between a rational and an irrational number, providing an example of each.