1. MULTIPLYING RATIONAL NUMBERS IF THE SIGNS ARE THE SAME, MULTIPLY THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. (+4)(+5) = (-4)(-5) = (3)(6) = (-10)(-4) = SIGNS ARE THE SAME THE ANSWER IS POSITIVE 20 18 40

2. MULTIPLYING RATIONAL NUMBERS IF THE SIGNS ARE THE DIFFERENT, MULTIPLY THEIR ABSOLUTE VALUES AND THE ANSWER IS NEGATIVE. (+3)(-5) = (-3)(+5) = (7)(-2) = (-20)(3) = SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE -15 -14 -60

3. MULTIPLYING RATIONAL NUMBERS MULTIPLYING FRACTIONS Multiply straight across Reduce your answer

4. MULTIPLYING RATIONAL NUMBERS MULTIPLYING FRACTIONS Multiply straight across Reduce your answer

5. MULTIPLYING RATIONAL NUMBERS MULTIPLYING FRACTIONS Reduce - Cancel Multiply straight across 3 2 SECOND OPTION – REDUCE FIRST

6. MULTIPLYING RATIONAL NUMBERS MULTIPLICATION PROPERTY OF -1 The product of any number and -1 is its additive inverse (opposite). 5(-1) =-5 -5(-1) =5 -30(-1) =30

7. MULTIPLYING RATIONAL NUMBERS Evaluate 3xy + 2y if x = 3 & y = -2 3xy + 2y =3(3)(-2) + 2(-2) = 9(-2) + 2(-2) = -18 + (-4) = -22

8. DIVIDING RATIONAL NUMBERS IF THE SIGNS ARE THE SAME, DIVIDE THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. SAME RULES AS FOR MULTIPLICATION! IF THE SIGNS ARE THE DIFFERENT, DIVIDE THEIR ABSOLUTE VALUES AND THE ANSWER IS NEGATIVE. (+6)÷(+3) =2 (-6)÷(-3) =2 (+6)÷(-3) =-2 (-6)÷(+3) =-2

9. DIVIDING RATIONAL NUMBERS DIVIDING FRACTIONS Invert and multiply (I.A.M.) Reduce 2 1 1 2 Multiply straight across

10. DIVIDING RATIONAL NUMBERS SIMPLIFYING ALGEBRAIC EXPRESSIONS Reduce - Cancel Can’t “cancel” unless able to do so in every term. 1 1 2

11. DIVIDING RATIONAL NUMBERS SIMPLIFYING ALGEBRAIC EXPRESSIONS Reduce - Cancel Can’t “cancel” unless able to do so in every term. 2 2 3

12. DIVIDING RATIONAL NUMBERS SIMPLIFYING ALGEBRAIC EXPRESSIONS Reduce - Cancel Can’t “cancel” unless able to do so in every term. -2 2