Properties of Real Numbers Worksheet

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

Grade 10 Math Number SenseProperties of Real Numbers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1.ACCSS.MATH.CONTENT.HSA.SSE.B.3

Topics

real numberspropertiesalgebragrade 10

7 sections · Free to use · Printable

Properties of Real Numbers

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?

Commutative Property of Addition

Associative Property of Addition

Distributive Property

Identity Property of Addition

2. What is the additive inverse of -7?

1/7

-1/7

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

4. The multiplicative inverse of a number 'a' (where a ≠ 0) is .

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

6. The set of real numbers includes all rational and irrational numbers.

True

False

7. The number 0 has a multiplicative inverse.

True

False

8. Identify the property used in each step to simplify the expression: 3(x + 2) - 5

9. Explain the difference between the Commutative Property and the Associative Property.

10. Plot the numbers -2, 0, 3.5, and √9 on the number line below.