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Grade 6 Real Number System Worksheet

A worksheet for 6th graders to practice understanding and classifying real numbers, including integers, rational numbers, and irrational numbers.

Grade 6 Math Number SenseReal Number System
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.6.NS.C.5CCSS.MATH.CONTENT.6.NS.C.6CCSS.MATH.CONTENT.6.NS.C.7

Topics

mathgrade 6real numbersnumber systemintegersrational numbers
7 sections · Free to use · Printable
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Grade 6 Real Number System

Name:

Date:

Score:

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

1. Which of the following numbers is an integer?

a

3.5

b

-7

c

1/2

d

√2

2. Which statement is true about rational numbers?

a

They can only be positive.

b

They cannot be written as a fraction.

c

They include all integers.

d

They are only irrational 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. All whole numbers are also   numbers.

5. All integers are rational numbers.

T

True

F

False

6. The number 0 is neither positive nor negative.

T

True

F

False

7. Place the following numbers on the number line provided: -3, 0, 2.5, -1/2

-4-3-2-1012

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

Match each number to its correct classification.

9. -5

 

a. Rational Number

10. 0.75

 

b. Integer

11. √3

 

c. Irrational Number