Math Flashcards

1
Q

What is a shortcut to see if a number is evenly divisible by 3?

A

If the sum of all the digits is divisible by 3, then full number is divisible by 3.

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2
Q

Explain distributive property

A

a * (b + c) = a * b + a * c

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3
Q

How would you make an equivalent expression using subtraction rather than addition.

A

Subtraction is adding the opposite. so a + b = a - (-b)

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4
Q

How do you get the log of two products?

A

log⁡b(x∗y)=log⁡b(x)+log⁡b(y)

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5
Q

How you get the log of a fraction?

A

logb​(x/y)=logb​(x)−logb​(y)

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6
Q

How do you get the log of a power?

A

logb​(x^y)=y∗logb​(x)

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7
Q

How do you change the base of a log?

A

logb​(x)=logc​(x)/logc​(b)​ changes from base b to base c

Using a log base of whatever, divide the log of your number by the log of your new base.

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