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Grade 10 Number Systems Worksheet

Explore and understand different number systems including real, rational, irrational, integers, whole, and natural numbers with this comprehensive Grade 10 math worksheet.

Grade 10 Math Number SenseNumber Systems
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSN.RN.B.3

Topics

Number SystemsReal NumbersRational NumbersIrrational NumbersIntegersMath
7 sections · Free to use · Printable
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Grade 10 Number Systems Review

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for full credit.

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

a

0.333...

b

4/7

c

√2

d

-5

2. All integers are also:

a

Natural numbers

b

Whole numbers

c

Irrational numbers

d

Rational numbers

3. The set of all rational and irrational numbers together form the set of   numbers.

4. A number that can be expressed as a fraction p/q, where p and q are integers and q ≠ 0, is called a   number.

5. The product of two irrational numbers is always irrational.

T

True

F

False

6. Every whole number is a natural number.

T

True

F

False

7. Place the following numbers on the number line provided: -2.5, 0, √9, π

-3-2-1012

8. Describe the relationship between natural numbers, whole numbers, and integers.

9. Use the Venn Diagram below to classify the following numbers: -5, 0, 1/2, √7, 3, 0.121212...

Real NumbersRational NumbersIrrational Numbers

Rational Numbers:  

Irrational Numbers: