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Classification of Real Numbers

A Grade 11 math worksheet covering the classification of real numbers, including natural, whole, integers, rational, and irrational numbers.

Grade 11 Math Number SenseClassification of Real Numbers
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Includes

Multiple ChoiceTrue / FalseFill in the BlanksShort AnswerMatching

Standards

CCSS.MATH.CONTENT.HSA.RN.B.3

Topics

mathnumber sensereal numbersgrade 11
7 sections · Free to use · Printable
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Classification of Real Numbers

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Date:

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Read each question carefully and provide the best answer. Show all your work for short answer questions.

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

a

3/4

b

√9

c

π

d

-5

2. All natural numbers are also:

a

Integers

b

Rational numbers

c

Whole numbers

d

All of the above

1. The number 0 is a natural number.

T

True

F

False

2. Every integer is also a rational number.

T

True

F

False

1. Numbers that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, are called   numbers.

2. The set of   numbers includes all positive and negative whole numbers, as well as zero.

1. Provide an example of a number that is a whole number but not a natural number. Explain your reasoning.

2. On the number line below, plot and label the approximate positions of √2 and -1.5.

-3-2-1012

Match each number with its correct classification.

1. 7

 

a. Irrational Number

2. -3

 

b. Natural Number

3. 0.333...

 

c. Integer

4. √7

 

d. Rational Number