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Real Number System Worksheet

Explore the real number system, including rational and irrational numbers, with this comprehensive worksheet for 7th graders.

Grade 7 Math Number SenseReal Number System
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Includes

Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerMatching

Standards

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

Topics

mathgrade 7real numbersrationalirrationalnumber system
7 sections · Free to use · Printable
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Real Number System

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work where applicable.

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

a

3/4

b

√2

c

-5

d

0.75

2. All integers are also:

a

Irrational numbers

b

Whole numbers

c

Rational numbers

d

Natural numbers

1. The number 0 is a natural number.

T

True

F

False

2. Every rational number can be written as a fraction.

T

True

F

False

1. The set of all rational and irrational numbers is called the   system.

2. A decimal that does not terminate and does not repeat is an   number.

1. Plot the following numbers on the number line below: -2.5, 0, 1.75

-3-2-10123

2. Explain the difference between a rational and an irrational number. Provide an example of each.

Match each number to its correct classification.

1. 7

 

a. Irrational Number

2. π

 

b. Integer

3. -10

 

c. Natural Number

4. 0.333...

 

d. Rational Number