1. Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify

2. What we know already about multiplication Is 3x4 = 4x3 ? Is 2x3x2 = 2x2x3 ? (we can change the order when we multiply) If it doesn’t matter which order we multiply, we can move numbers and letters around without changing the answer. YES!

3. We have a shorthand for writing numbers and letters when they are multiplied together. 6 x c = 6c 6 x c = c x 6 = c6 (but mathematicians almost never write the letter first)

4. Is 2xa = ax2 = 2a ? If a = 4, is 2 x 4 = 4 x 2? YES!

5. Example 6 x 3c = 6 x 3 x c = 18 x c = 18c

6. Example 2 11e x 6f = 11 x 6 x e x f = 66 x e x f = 66ef

7. Example 3 5d x -2c x e x 4 =5 x d x -2 x c x e x 4 =5 x -2 x 4 x d x c x e = -10 x 4 x d x c x e = -40 x d x c x e =-40dce

8. Division remember divide is the opposite to multiply eg. 10 ÷ 5 = 2 And 2 x 5 = 10 10a ÷ 5a = 10 x a 5 x a = 10 x a (cancel out) 5 x a = 2 1 = 2