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MTH 10905 Algebra

MTH 10905 Algebra. The Multiplication property of equality CHAPTER 2 Section 3. Identity Reciprocals. Reciprocal – two numbers are reciprocals when their product equals 1. If a is a non-zero number the reciprocal is

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MTH 10905 Algebra

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  1. MTH 10905Algebra 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 • 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: Exp:

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

  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: Exp:

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

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

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