Properties of Numbers Worksheet

Explore the fundamental properties of numbers including commutative, associative, distributive, identity, and inverse properties for Grade 6 math.

Grade 6 Math Number SenseProperties of Numbers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.6.NS.B.4CCSS.MATH.CONTENT.6.EE.A.3

Topics

mathgrade 6number propertiescommutativeassociativedistributiveidentityinverse

7 sections · Free to use · Printable

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Properties of Numbers

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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: 5 + (3 + 2) = (5 + 3) + 2?

Commutative Property

Associative Property

Distributive Property

Identity Property

2. Which expression is equivalent to 4 × (7 + 3) using the Distributive Property?

4 × 7 + 3

4 + 7 × 4 + 3

4 × 7 + 4 × 3

4 + 7 + 3

3. The Property states that changing the order of addends or factors does not change the sum or product.

4. The number is the additive identity because any number added to it remains the same.

5. The Property allows you to multiply a sum by multiplying each addend separately and then adding the products.

6. The equation 10 × 1 = 10 demonstrates the Identity Property of Multiplication.

True

False

7. The Associative Property applies to subtraction and division.

True

False

8. Explain the difference between the Commutative Property of Addition and the Associative Property of Addition. Provide an example for each.

9. Plot the numbers 0, 2, 5, and 7 on the number line below. Then, show an example of the Commutative Property of Addition using two of these numbers on the number line.