6th Grade Math Textbook, Fundamentals

Lesson 1-7 for exercise sets. &KDSWHU 

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Name the property used.

1.0(9)  0 2. 8  0  8 3.5 • 1  5

4.( 7 3)  8  7 (3 8) 5.8( 9 6) (8)(9) (8)(6)

Use the properties to find the value of a.

6.7( 2 4) 7(2) a(4) 7.3(2 5) 3(2) 3(a)

8.Discuss and Write Do all the properties of addition work for subtraction?

Do all the properties of multiplication work for division? Justify your

answers with examples.

Multiplying a sum by a number is the

same as multiplying each addend by that

number and adding the two products.

a(bc) abac

Example:

3( 4 5) 3(4) (3)(5)

3(1)  12 (15)

 3  3 Tr u e

over Addition

Distributive Property of Multiplication

Multiplying a difference by a number is the

same as multiplying each number in the

subtraction expression by that number and

subtracting the two products.

a(bc) abac

Example:3( 4 5) 3(4) (3)(5)

3[ 4 (5)]  12 (15)

3(9)  12  15

27  27 Tr u e

over Subtraction

Distributive Property of Multiplication

(5 • 2)(7) 5 • (2 • 7)

Associative Property of Multiplication

grouping

changed

1(3)  3

Identity Property of Multiplication

1 is an identity

element.

1 2

( 8 3)  1  8 (3 1)

Associative Property of Addition

grouping

changed

 1 (9)  9 (1)

Commutative Property of Addition

order

changed

3 4

Name the property used.

2[(8) (7)] 2(8) 2(7)

Distributive Property of Multiplication

over Subtraction

Distribute the same factor

across both subtraction terms.

1( 6 0) 1(6) (1)(0)

Distributive Property of Multiplication

over Addition

Distribute the same factor

across both addends.

5 6