1: Numbers & Operations Flashcards

1
Q

Multiplying fractions

A

Multiply numerators, then denominators

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2
Q

Dividing fractions

A

Keep / Change / Flip

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3
Q

Commutative property

A

Order doesn’t matter!
a + b = b + a
a x b = b x a

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4
Q

Associative property

A

Order doesn’t matter! 3+ numbers
a + b + c = b + c + a
a x b x c = b x c x a

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5
Q

Distributive property

A
Distribute the numbers!
a x (b + c) = a x b + a x c
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6
Q

Identity property

A

Any number plus 0 equals itself
Any number times 1 equals itself
x + 0= x
x x 1 = x

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7
Q

Inverse property

A
Number plus negative itself equals 0
Number times 1/itself equals 1
a + -a = 0
a x 1/a = 1
(if a =/= 0)
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8
Q

Irrational number

A

Cannot be written as a fraction or ratio

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9
Q

Prime number

A

Has only 2 factors: 1 and itself

Cannot be divided by anything else

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10
Q

Venn diagram of factorization

A

LCM is written left to right with the GCF in the intersection

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11
Q

LCM

A

Least Common Multiple

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12
Q

GCF

A

Greatest Common Factor

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13
Q

Dividing exponents

A

a^x over a^y = a ^ (x-y)

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14
Q

Multiplying exponents

A

a^x X a^y = a^ (x + y)

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15
Q

Power of a fraction rule

A

(a/b)^c = a^c over b^c

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16
Q

Power of a product rule

A

(ab)^c = a^c + b^c

17
Q

Power of a power rule

A

(a^b)^c = a ^ (b + c)

18
Q

Negative exponent

A

a^(-b) = 1 / a^b