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Grade 8 Number Systems Worksheet

This worksheet covers key concepts in number systems for 8th grade math students, including rational and irrational numbers, real numbers, and their properties.

Grade 8 Math Number SenseNumber Systems
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustombox

Standards

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

Topics

MathGrade 8Number SystemsRational NumbersIrrational NumbersReal Numbers
8 sections · Free to use · Printable
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Grade 8 Number Systems Review

Name:

Date:

Score:

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

1. Which of the following numbers is irrational?

a

0.75

b

√9

c

π

d

-2/3

2. All integers are also:

a

Irrational numbers

b

Whole numbers

c

Rational numbers

d

Natural numbers

3. A number that can be written as a fraction p/q, where p and q are integers and q is not zero, is called a   number.

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

5. The set of all rational and irrational numbers combined is called the   numbers.

6. The number 0 is a rational number.

T

True

F

False

7. All fractions are irrational numbers.

T

True

F

False

8. Explain the difference between a rational number and an irrational number, providing an example for each.

9. Plot the following numbers on the number line below: -2.5, 0, 1.75, √4, -1/2

-3-2-10123

10. Place the following numbers in the correct section of the Venn Diagram: -5, 3/4, √2, 0, 1.333..., π

Real NumbersRational NumbersIrrational Numbers-503/41.333...√2π