multiplying and dividing pronumerals n.
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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

Multiplying and dividing pronumerals

Write the numbers together and then the pronumerals together, then simplify

what we know already about multiplication
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!

slide3
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)

slide4
Is 2xa = ax2 = 2a ?

If a = 4, is 2 x 4 = 4 x 2?

YES!

example
Example

6 x 3c

= 6 x 3 x c

= 18 x c

= 18c

example 2
Example 2
  • 11e x 6f
  • = 11 x 6 x e x f
  • = 66 x e x f
  • = 66ef
example 3
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

division
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