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Grade 8 Real Number System Worksheet

Explore the real number system with this worksheet, covering rational, irrational, integers, whole, and natural numbers through various question types.

Grade 8 Math Number SenseReal Number System
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerWord Bank

Standards

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

Topics

MathGrade 8Real NumbersNumber SystemRationalIrrational
7 sections · Free to use · Printable
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Real Number System Review

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work when necessary.

1. Which of the following numbers is irrational?

a

0.333...

b

√49

c

π

d

-5

2. All integers are also:

a

Natural numbers

b

Whole numbers

c

Rational numbers

d

Irrational numbers

3. The set of   numbers includes all rational and irrational numbers.

4. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is a   number.

5. The square root of any non-perfect square is an   number.

6. All natural numbers are also whole numbers.

T

True

F

False

7. The number 0 is a natural number.

T

True

F

False

8. Plot the following numbers on the number line below: -2.5, 0, √9, 1/2

-3-2-1012

9. Explain the difference between a rational and an irrational number. Give an example of each.

Use the words below to complete the sentences.

Integers
Whole Numbers
Natural Numbers
Real Numbers

10. The counting numbers (1, 2, 3, ...) are called  .

11. The   include natural numbers and zero (0, 1, 2, 3, ...).

12.   are all positive and negative whole numbers, including zero (..., -2, -1, 0, 1, 2, ...).