Multiplying and Dividing Real Numbers

Language Goal  Students should be able to explain how to perform multiplication and division with real numbers. Math Goal  Students should be able to multiply and divide real numbers. Essential Question  How do you translate between written word and math in order to solve real-world problems?

 Adding Integers Review 1. – x when x = -3

Reciprocal: Multiplicative Inverse: A number and its reciprocal.

 Same Signs = Always Positive  Different Signs = Always Negative

 But plus signs along the diagonal  Put negative signs everywhere else

 Multiplying fractions ◦ Numerator times numerator ◦ Denominator times denominator ◦ Simplify the fraction

 Dividing Fractions ◦ Keep the first fraction ◦ Switch the sign from multiplication to division ◦ Flip the second fraction

WordsNumbersAlgebra Multiplication by Zero Zero Divided by a Number Division by Zero The product of any number and 0 is 0 a·0 = 0 0·a = 0 The quotient of 0 and any nonzero number is 0 Division by 0 is undefined

RED = NEGATIVE number BLACK = POSITIVE number