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Multiplying and dividing pronumerals

Multiplying and dividing pronumerals. Write the numbers together and then the pronumerals together, then simplify. What we know already about multiplication. YES!. Is 3x4 = 4x3 ? Is 2x3x2 = 2x2x3 ? (we can change the order when we multiply)

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Multiplying and dividing pronumerals

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

  2. What we know already about multiplication YES! 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

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