Multiplying and dividing pronumerals

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# Multiplying and dividing pronumerals - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about 'Multiplying and dividing pronumerals' - alice

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### Multiplying and dividing pronumerals

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

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!

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)

Is 2xa = ax2 = 2a ?

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

YES!

Example

6 x 3c

= 6 x 3 x c

= 18 x c

= 18c

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