Grade 12 Math: Properties of Numbers

Explore and apply fundamental properties of real numbers including commutative, associative, distributive, identity, and inverse properties, along with their applications in algebraic expressions and equations.

Grade 12 Math Number SenseProperties of Numbers

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.APR.A.1

Topics

Grade 12MathProperties of NumbersAlgebraReal Numbers

7 sections · Free to use · Printable

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Grade 12 Math: Properties of Numbers

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

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

Commutative Property of Addition

Associative Property of Addition

Distributive Property

Identity Property of Addition

2. The multiplicative inverse of a non-zero real number 'a' is:

-a

1/a

3. The property states that for any real numbers a, b, and c, a(b + c) = ab + ac.

4. The additive identity for real numbers is because for any real number a, a + 0 = a.

5. The set of irrational numbers is closed under multiplication.

True

False

6. The associative property applies to both addition and subtraction.

True

False

7. Explain the difference between the commutative property of addition and the associative property of addition.

8. Use the distributive property to simplify the expression 3(x + 5y - 2).

Match each property with its example.

9. Identity Property of Multiplication

a. (ab)c = a(bc)

10. Commutative Property of Multiplication

b. 7 * 1 = 7

11. Associative Property of Multiplication

c. 4 * 5 = 5 * 4