1. Multiplying and Dividing Real Numbers

2. 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?

3.  Adding Integers Review 1. – 4 + 92. -8 + - 21 3. - 20 + 7 4. 6 + x when x = -3

6. Reciprocal: Multiplicative Inverse: A number and its reciprocal.

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

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

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

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

13. 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

15. RED = NEGATIVE number BLACK = POSITIVE number