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Irrational Numbers Worksheet

This worksheet focuses on understanding, identifying, and performing operations with irrational numbers for Grade 11 students.

Grade 11 Math Number SenseIrrational Numbers
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSN.RN.B.3

Topics

mathgrade 11irrational numbersnumber sense
8 sections · Free to use · Printable
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Irrational Numbers: Grade 11 Practice

Name:

Date:

Score:

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

1. Which of the following numbers is irrational?

a

√49

b

0.333...

c

π

d

3/5

2. The product of a non-zero rational number and an irrational number is always:

a

Rational

b

Irrational

c

Integer

d

Cannot be determined

3. An irrational number cannot be expressed as a   of two integers.

4. The decimal representation of an irrational number is non-terminating and non- .

5. Explain why √2 is an irrational number.

6. The sum of two irrational numbers is always irrational.

T

True

F

False

7. The number 0.121121112... (where the number of 1s increases) is rational.

T

True

F

False

8. Plot the approximate location of √5 on the number line below.

0 1 2 3 4 5

9. Order the following numbers from least to greatest: π, √10, 3.14, 2√2.