Art of Problem Solving Prealgebra: 'Multiple' Facts

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I’m in this class and need to watch these

ethanye
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Richard Rusczyk: "You don't know what's gonna happen, division is just weird."

Ms.Amercana
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In the problem: 5. If we subtract one multiple of 7 from another multiple of 7, is the difference a multiple of 7?, (timestamp at the end of the problem 2:10), what if 7 (a-b) is equal to 0? 0 is not a multiple of 7...?

jojo
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So... Couldn't we just see that multiplication is repeated addition and see that the product WOULD be a product of x?

gaaes
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Wait... Isn’t division a multiplication of a reciprocal?

playlist
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nice... I love how you are so funny, although you can edit to make it better

bearbeardoudare