Lesson 1-6 Pages 30-33
Lesson Check 1-5

What you will learn!
How to use addition and multiplication properties to solve problems.

Equivalent Expressions
Properties

Commutative Property
The order in which two numbers are added or multiplied does not change the answer!

Commutative Property
3 + 7 = 7 + 3
3 x 7 = 7 x 3

Associative Property
The way in which three numbers are grouped when they are added or multiplied does not change the answer!

Associative Property
(2 + 5) + 8 = 2 + (5 + 8)
(2 x 5) x 8 = 2 x (5 x 8)

Identity Property
The sum of a addend and zero is the addend.
The product of a factor and one is the factor.

Identity Property
4 + 0 = 4
9 x 1 = 9

Distributive Property
To multiply a sum (or difference) by a number, multiply each addend by the number outside the parentheses.

Distributive Property
3(4 + 8) = (3 x 4) + (3 x 8)

What you really need to know!
The Big Question!
Did the numbers move, or did the group change?

Commutative Property of
Addition
Commutative Property of
Multiplication
Associative Property of
Addition
Associative Property of
Multiplication
2 + 3 = 3 + 2
2 x 3 = 3 x 2
(5 + 8) + 2 = 5 + (8 + 2)
(4 x 6) x 3 = 4 x (6 x 3)
Identity Property of Addition 5 + 0 = 5 0 + 9 = 9
Identity Property of
Multiplication
Distributive Property
7 x 1 = 7 1 x 6 =6
3(4 + 6) = 3 •4 + 3•6

Word Bank: Lesson 1-6

Example 1 Commutative +
Name the property shown by each statement.
24 + 5 = 5 + 24

Example 2 Associative x
Name the property shown by each statement.
(11 x 4) x 8 = 11 x (4 x 8)

Example 3 8 •5 + 8•7 ; 96
Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.
8(5 + 7)

Example 4 2 •6 + 9•6 ; 66
Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.
(2 + 9)6

Example 5 6 x 150 ; $900
Mr. Harmon has budgeted
$150 per day for his hotel and meals during his vacation. If he plans to spend six days on vacation, how much will he spend?

Example 6 Identity x
Name the property shown by each statement.
7 = 1 x 7

Example 7 Identity +
Name the property shown by each statement.
7 + 0 = 7

Link to Pre-Made Lesson

Read:

Homework: Pages 32-33
#’s 12-26 even,
32-40 even, 43-57
Lesson Check 1-6

Lesson Check 1-6