1. MTH 10905 Algebra THE MULTIPLICATION PROPERTY OF EQUALITY CHAPTER 2 SECTION 3

2. Identity Reciprocals Reciprocal – two numbers are reciprocals when their product equals 1. If a is a non-zero number the reciprocal is The reciprocal of a positive is positive and the reciprocal of a negative is a negative

3. Identity Reciprocals The reciprocal of 0 does not exist. first we cannot have a zero on the bottom of a fraction second zero divided by zero is zero. Exp: the reciprocal of 3 is because Exp: the reciprocal of -2 is because

4. Identity Reciprocals Exp: the reciprocal of is because

5. Multiplication Property to Solve Equation Multiplication Property of Equality if a = b then a · c = b · c for any real number a, b, and c We can multiply any non-zero number to both sides without changing the solution. We can solve equations in the form of ax = b using the multiplication property To isolate the variable we will multiply by the reciprocal of the numerical coefficient.

6. Multiplication Property to Solve Equation Exp:Exp:

7. Multiplication Property to Solve Equation Exp:Division is defined in the term of multiplication this allows is to divide both sides by a non-zero number Exp:

8. Multiplication Property to Solve Equation Exp:Exp:

9. Multiplication Property to Solve Equation Exp:

10. Multiplication Property to Solve Equation When solving an equation in the form of ax = b: 1. for a fractions multiply both sides by the reciprocal of a 2. for whole numbers divide both sides by aExp:

11. Solve Equation in the form of –x = a Remember that x = a is the same as 1x = a Therefore, -x = a is the same as -1x = a Exp:

12. Do some steps Mentally to Solve Equations As you become comfortable you can do some of the steps mentally Exp:

13. HOMEWORK 2.3 Page 118 – 119 #9, 11, 19, 25, 31, 35, 49, 57