Ch 6 Sec 2: Slide #1 Columbus State Community College Chapter 6 Section 2 The Multiplication...
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Ch 6 Sec 2: Slide #1 Columbus State Community College Chapter 6 Section 2 The Multiplication Property of Equality
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Transcript of Ch 6 Sec 2: Slide #1 Columbus State Community College Chapter 6 Section 2 The Multiplication...
Ch 6 Sec 2: Slide #1
Columbus State Community College
Chapter 6 Section 2
The Multiplication Property of Equality
Ch 6 Sec 2: Slide #2
The Multiplication Property of Equality
1. Use the multiplication property of equality.
2. Simplify equations, and then use the multiplication property of equality.
Ch 6 Sec 2: Slide #3
Multiplication Property of Equality
Multiplication Property of Equality
If a, b, c represent real numbers ( c ≠ 0 ), then the equations
a = b and a c = b c
are equivalent equations.
In other words, we can multiply each side of an equation by the same nonzero number without changing the solution.
Ch 6 Sec 2: Slide #4
3
4
Dividing Each Side of an Equation by a Nonzero Number
EXAMPLE 1 Dividing by a Nonzero Number
Solve 18x = 24.
18x = 24
18x = 18
18x = 24=
18x =43
Ch 6 Sec 2: Slide #5
1
6
Dividing Each Side of an Equation by a Nonzero Number
EXAMPLE 1 Dividing by a Nonzero Number
Solve 18x = 24. Check
18x = 24
= 2443
181
24 = 24 Balances
Ch 6 Sec 2: Slide #6
Solving an Equation with Decimals
EXAMPLE 2 Solving an Equation with Decimals
Solve 3.2 m = 24.96 .
3.2 m = 24.96
3.2 m 24.96=
3.2 3.2
m = 7.8
Ch 6 Sec 2: Slide #7
Solving an Equation with Decimals
EXAMPLE 2 Solving an Equation with Decimals
Solve 3.2 m = 24.96 . Check
3.2 m = 24.96
3.2 ( 7.8 ) = 24.96
24.96 = 24.96 Balances
Ch 6 Sec 2: Slide #8
1
15
1
1
1
1
Using the Multiplication Property of Equality
EXAMPLE 3 Using the Multiplication Property of Equality
Solve .25
w = 30
25
w = 3052
52
25
w = 30
w = 75
Ch 6 Sec 2: Slide #9
Using the Multiplication Property of Equality
EXAMPLE 3 Using the Multiplication Property of Equality
Solve . Check25
w = 30
25
( 75 ) = 30
25
w = 30
30 = 30 Balances
Ch 6 Sec 2: Slide #10
Coefficient of the Variable is –1
EXAMPLE 4 Using the Multiplication Property of Equality
Solve – h = 15.
– h = 15
h = –15
– h = 15
–1 h = 15
h = –15
–1 h = 15
–1 ( –1 h ) = –1 ( 15 )
Method 1 Method 2
–1 h 15=
–1 –1
Ch 6 Sec 2: Slide #11
Coefficient of the Variable is –1
EXAMPLE 4 Using the Multiplication Property of Equality
Solve – h = 15. Check
– h = 15
–1 ( –15 )
15
= 15
= 15 Balances
Ch 6 Sec 2: Slide #12
The Multiplication Property of Equality
Chapter 6 Section 2 – Completed
Written by John T. Wallace
