Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together,...
-
Upload
gerard-doyle -
Category
Documents
-
view
213 -
download
1
Transcript of Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together,...
![Page 1: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/1.jpg)
Multiplying and dividing pronumerals
Write the numbers together and then the pronumerals
together, then simplify
![Page 2: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/2.jpg)
What we know already about multiplicationIs 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!
YES!
![Page 3: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/3.jpg)
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)
![Page 4: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/4.jpg)
Is 2xa = ax2 = 2a ?
If a = 4, is 2 x 4 = 4 x 2?
YES!
![Page 5: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/5.jpg)
Example
6 x 3c= 6 x 3 x c= 18 x c= 18c
![Page 6: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/6.jpg)
Example 2
• 11e x 6f• = 11 x 6 x e x f• = 66 x e x f • = 66ef
![Page 7: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/7.jpg)
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
![Page 8: Multiplying and dividing pronumerals Write the numbers together and then the pronumerals together, then simplify.](https://reader036.fdocuments.in/reader036/viewer/2022083005/56649f1b5503460f94c3091b/html5/thumbnails/8.jpg)
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