Arithmetic Flashcards

(15 cards)

1
Q

How to calculate % increase or decrease?

A

Divide the increase by the original amount

E.g. If I price increases from 25 to 30 then the percent increase equals

5/25 = .2 = 20%

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2
Q

Is the percent increase from 24 to 30 the same as the price decrease from 30 to 24?

A

No,

6/24 does not equal 6/30

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3
Q

How do you tell if a multiplication of numbers is even?

A

If at least one factor of a product of integers is even, the product is even

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4
Q

How to tell if the sum of integers is even?

A

If 2 integers are both even or both odd, sun is even.

Odd number of odd numbers = odd

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5
Q

Can you shift a decimal point in long division?

A

Yes,

648.12/12.4 = 6481.2/124

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6
Q

How many roots does a positive integer have?

A

2

Sq. Root of x and negative sq root of x

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7
Q

How do you calculate a median

A

Middle term

If odd number, choose middle
If even number, average 2 middle terms

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8
Q

What is a union?

A

All factors in both sets

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9
Q

What is an intersection of 2 sets?

A

Only the like numbers in the two sets

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10
Q

If you have n numbers, how many different orders can you put them in?

A

n!

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11
Q

What is the equation for calculating the probability of choosing r objects from a larger group n?

A

nCr = n!/(r!)*(n-r)!

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12
Q

What is the probability of A occurring if B occurred?

A

P = intersection of A and B / B

Aka if a dice used and A= 2,4,6 B=5,6 then P(AifB) is

[6]/[5,6] = 1/2

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13
Q

If A and B are independent events, what is the probability of A and B occurring?

A

P(A)*P(B)

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14
Q

If A and B are independent events, what is the probability of A or B occurring?

A

P(A)+P(B)-P(A)*P(B)

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15
Q

9^x = ???

A

3^(2x) or 3(3^x)

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