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## Columbus State Community College

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**Columbus State Community College**Chapter 6 Section 2 The Multiplication Property of Equality**The Multiplication Property of Equality**• Use the multiplication property of equality. • Simplify equations, and then use the multiplication property of equality.**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.**18x = 24**= 18x = 18 4 18x = 3 Dividing Each Side of an Equation by a Nonzero Number EXAMPLE 1 Dividing by a Nonzero Number Solve 18x = 24. 18x = 24 4 3**4**18 3 1 Dividing Each Side of an Equation by a Nonzero Number EXAMPLE 1 Dividing by a Nonzero Number Solve 18x = 24. Check 18x = 24 6 = 24 1 24 = 24 Balances**3.2 m**24.96 = 3.2 3.2 Solving an Equation with Decimals EXAMPLE 2 Solving an Equation with Decimals Solve 3.2 m = 24.96 . 3.2 m = 24.96 m = 7.8**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**2**= Solve . 30 w 5 5 5 2 w = 30 2 2 2 = 30 w 5 5 w = 75 Using the Multiplication Property of Equality EXAMPLE 3 Using the Multiplication Property of Equality 1 1 15 1 1 1**2**= Solve . Check 30 w 5 2 w = 30 5 2 = 30 ( 75 ) 5 = 30 Using the Multiplication Property of Equality EXAMPLE 3 Using the Multiplication Property of Equality 30 Balances**–1 h**15 = –1 –1 Coefficient of the Variable is –1 EXAMPLE 4 Using the Multiplication Property of Equality Solve –h = 15. Method 1 Method 2 –h = 15 – h = 15 –1h = 15 –1h = 15 –1 ( –1 h ) = –1 ( 15 ) h = –15 h = –15**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**The Multiplication Property of Equality**Chapter 6 Section 2 – Completed Written by John T. Wallace