Properties of Rational Numbers

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

Grade 7 Math Number SenseProperties of Rational Numbers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.7.NS.A.3CCSS.MATH.CONTENT.7.NS.A.2

Topics

rational numberspropertiesgrade 7math

7 sections · Free to use · Printable

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

1. Which property states that a + b = b + a for rational numbers?

Associative Property

Commutative Property

Distributive Property

Identity Property

2. What is the additive inverse of -3/4?

4/3

-4/3

3/4

3. The property that allows us to multiply a sum by multiplying each addend separately and then adding the products is called the Property.

4. Any rational number multiplied by its multiplicative inverse equals .

5. The additive identity for rational numbers is .

6. The set of rational numbers is closed under division (except by zero).

True

False

7. (a + b) + c = a + (b + c) demonstrates the Commutative Property of Addition.

True

False

8. Identify the property illustrated by the equation: 5/2 * (2/5) = 1

9. Use the distributive property to simplify the expression: 1/3 * (6 + 9)

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