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GRE Math > Arithmetic > Flashcards

Arithmetic Flashcards

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1
Q

integer

A

{…,-3,-2,-1,0,1,2,3,…}

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2
Q

A negative * a negative

A

a positive

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3
Q

A negative * a positive

A

a negative

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4
Q

Factorization

A

listing all of the possible combinations of integers that are multiplied to make a number

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5
Q

Factor or divisor

A

numbers in a factorization

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6
Q

multiple

A

25: 25, 50, 75, 100, 125, 150,…

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7
Q

_____ is a factor of every integer

A

1

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8
Q

_____ is a multiple of every integer

A

zero

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9
Q

Least common multiple

A

the least positive number that is a multiple of two numbers, a and b

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10
Q

Multiples of 30

A

30, 60, 90, 120, 150,…

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11
Q

Greatest common factor

A

the greatest positive number that is a divisor of two numbers, a and b

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12
Q

Factors of 30

A

1, 30, 2, 15, 3, 10, 5, 6

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13
Q

Quotient with remainder

A

when two integers are divided that are not factors of one another;

example: 19/7= 2 remainder 5

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14
Q

The sum (+) of two even integers is….

A

an even number

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15
Q

The sum (+) of two odd integers is…

A

an even number

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16
Q

The sum (+) of an even integer and an odd integer is…

A

an odd number

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17
Q

The product (x) of two even integers is…

A

an even number

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18
Q

The product (x) of two odd integers is…

A

an odd number

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19
Q

The product (x) of an even integer and an odd integer is…

A

an even number

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20
Q

Prime number

A

integer greater than 1 that only can be divided by 1 and itself;

ex: (3, 5, 7, etc)

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21
Q

____ is not a prime number

A

One

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22
Q

Prime factorization

A

list of only the prime-number factors for an integer;

examples: 12= (2)(2)(3)= (2^2)(3)
14= (2)(7)
81= (3)(3)(3)(3)= 3^4

23
Q

Composite number

A

an integer greater than 1 that is not a prime number

24
Q

In a\b, a is the…

A

numerator

25
Q

In a/b, b is the….

A

denominator

26
Q

Fractions are also called _______ numbers

A

rational

27
Q

When adding or subtracting fractions, the _______ must be the same

A

denominators

example: (7/5) + (1/5) = 8/5

28
Q

To add or subtract fractions with different denominators, find a ________

A

common denominator

29
Q

When multiplying fractions, the _______ do not have to be the same

A

denominators

example: (1/5) * (2/3) = (2/15)

30
Q

To divide fractions, ____ the second fraction, and then multiply

A

invert

example: (17/8) / (3/4) = (17/8)*(4/3)

31
Q

An expression like 4 3/8 is called

A

mixed number

32
Q

Convert to a fraction 4 3/8

A

(8*4)+3=35/8

33
Q

If zero is the denominator of a fraction, it’s

A

undefined

34
Q

Used to denote the repeated multiplication of a number by itself

A

exponent

35
Q

a^0

A

1

36
Q

a^(-1)

A

(1/a)

37
Q

0^0

A

undefined

38
Q

Cube root of 8

A

2 because 2^3=8

39
Q

Decimals that do not terminate or repeat are considered…

A

irrational numbers

40
Q

All rational numbers and irrational numbers are

A

real numbers

41
Q

The distance between an integer and zero on the real number line is

A

absolute value

denoted: |3| = 3
|-2| = 2
|10.2| = 10.2

42
Q

a(b + c) =

A

ab + ac

43
Q

|a| * |b| =

A

|ab|

44
Q

S/t or s:t represents

A

ratio

45
Q

An equation relating two ratios

A

proportion

Examples: 9/12 = 3/4

Solve these problems by cross multiplication

46
Q

x/49 = 3/21

A

cross multiply
21x= (3)(49)
x= 7

47
Q

Meaning per hundred

A

percent

48
Q

To compute a percent, divide the PART/WHOLE

A

example:
What percent of 150 is 12.9?
whole- 150, part- 12.9
12.9/150=0.086, 8.6%

49
Q

What is 30% of 350?

A

Multiply the decimal form of 30% (.30) by 350= 105

50
Q

15 is 60% of what number?

A

Divide 15 by the decimal form of 60% (.60)

15/.60= 25

51
Q

To find percent increase…

A

amount of increase/the whole

example: if quantity increases from 600 to 750, what is the percent increase?

150/600= .25–> 25%

52
Q

If a quantity size DOUBLES, then the percent increase is…

A

100%

53
Q

To find percent decrease…

A

decrease/the whole

GRE Math (7 decks)

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