lesson 1-6 pages 30-33 algebra: properties lesson check 1-5
TRANSCRIPT
Lesson 1-6 Pages 30-33
Algebra:
Properties
Lesson Check 1-5
What you will learn!
How to use addition and multiplication properties to
solve problems.
Equivalent ExpressionsEquivalent Expressions
PropertiesProperties
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 x 5) x 8 = 2 x (5 x 8)
(2 + 5) + 8 = 2 + (5 + 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 = 49 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 Commutative Property of AdditionAddition
2 + 3 = 3 + 22 + 3 = 3 + 2
Commutative Property of Commutative Property of MultiplicationMultiplication
2 x 3 = 3 x 22 x 3 = 3 x 2
Associative Property of Associative Property of AdditionAddition
(5 + 8) + 2 = 5 + (8 + 2)(5 + 8) + 2 = 5 + (8 + 2)
Associative Property of Associative Property of MultiplicationMultiplication
(4 x 6) x 3 = 4 x (6 x 3)(4 x 6) x 3 = 4 x (6 x 3)
Identity Property of AdditionIdentity Property of Addition 5 + 0 = 5 0 + 9 = 95 + 0 = 5 0 + 9 = 9
Identity Property of Identity Property of MultiplicationMultiplication
7 x 1 = 7 1 x 6 =67 x 1 = 7 1 x 6 =6
Distributive PropertyDistributive Property 3(4 + 6) = 33(4 + 6) = 3•4 + 3•6•4 + 3•6
Word Bank: Lesson 1-6Word Bank: Lesson 1-6
CommutativeCommutative
AssociativeAssociative
IdentityIdentity
DistributiveDistributive
Example 1
Name the property shown by each statement.
24 + 5 = 5 + 24
Commutative +
Example 2
Name the property shown by each statement.
(11 x 4) x 8 = 11 x (4 x 8)
Associative x
Example 3
Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.
8(5 + 7)
8•5 + 8•7 ; 96
Example 4
Use the distributive property to write each expression as an equivalent expression. Then evaluate the expression.
(2 + 9)6
2•6 + 9•6 ; 66
Example 5
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?
6 x 150 ; $900
Example 6
Name the property shown by each statement.
7 = 1 x 7
Identity x
Example 7
Name the property shown by each statement.
7 + 0 = 7
Identity +
Page 32
Guided Practice
#’s 4-10Link to Pre-Made Lesson
Pages 30-31 with someone at home
and study examples!
Read:
Homework: Pages 32-33
#’s 12-26 even,
32-40 even, 43-57
Lesson Check 1-6
Page
565
Lesson 1-6
Lesson Check 1-6