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Properties of Rational Numbers

Explore and apply the properties of rational numbers including commutative, associative, distributive, identity, and inverse properties.

Grade 6 Math Number SenseProperties of Rational Numbers
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

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

Topics

mathgrade 6rational numbersproperties
7 sections · Free to use · Printable
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Properties of Rational Numbers

Name:

Date:

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

1. Which property is demonstrated by the equation: (2 + 3) + 4 = 2 + (3 + 4)?

a

Commutative Property

b

Associative Property

c

Distributive Property

d

Identity Property

2. What is the additive inverse of -5/2?

a

5/2

b

-2/5

c

2/5

d

0

3. The   property states that changing the order of addends does not change the sum.

4. The number 1 is the multiplicative   for rational numbers.

5. The   property allows us to multiply a sum by multiplying each addend separately.

6. All whole numbers are rational numbers.

T

True

F

False

7. The product of a rational number and its multiplicative inverse is always 0.

T

True

F

False

8. Use the distributive property to simplify the expression: 3 * (5 + 7)

9. Explain why 0 has no multiplicative inverse.

10. Plot the following rational numbers on the number line: -1/2, 0.75, -2, 1/4

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