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GRE Math > Arithmetic > Flashcards

Arithmetic Flashcards

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0
Q

What is a Radical?

A

The root of something

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1
Q

What are Integers?

A

Whole numbers

They can be either positive or negative

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2
Q

What is a Number Line?

A

A line that shows evenly shaped integers from left to right

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3
Q

(+1) x (+1) =

A

+1

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4
Q

(+1) x (-1) =

A

-1

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5
Q

(-1) x (-1) =

A

+1

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6
Q

(+1) / (+1) =

A

+1

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7
Q

(+1) / (-1) =

A

-1

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8
Q

(-1) / (-1) =

A

+1

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9
Q

An even number +/- an even number is an _____ number

A

Even number

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10
Q

An odd number +/- an even number is an _____ number

A

Odd number

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11
Q

An odd number times an odd number is an _____ number

A

Odd number

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12
Q

An even number times an even number is an _____ number

A

Even number

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13
Q

An odd number times an even number is an _____ number

A

Even number

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14
Q

What is a Prime Number?

A

A number that is only divisible by itself or by one

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15
Q

Are prime numbers ever negative?

A

No

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16
Q

What is a Composite Number?

A

A number that has three or more divisors

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17
Q

All even numbers except ______ are composites.

A

0 and 2

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18
Q

The numbers _____ are neither primes nor composites.

A

0 and 1

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19
Q

Is zero positive or negative?

A

Neither

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20
Q

What is a Factor?

A

A number that can divide into another number without a remainder

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21
Q

What is a Quotient?

A

The answer to a division problem

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22
Q

What is a Dividend?

A

The number being divided into

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23
Q

What is a Product?

A

The answer to a multiplication problem?

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24
Q

A number is divisible by 2 if, _________.

A

It is an even number

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25
Q

A number is divisible by 3 if ______.

A

The sum of all its digits is divisible by 3

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26
Q

A number is divisible by 4 if ________.

A

The last 2 digits are divisible by 4

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27
Q

A number is divisible by 5 if ________.

A

It ends in 0 or 5

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28
Q

Prime numbers greater than 10 always end in _________.

A

1

3

7

9

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29
Q

What is the Highest Common Factor?

A

The largest number that can be divided into 2+ numbers

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30
Q

What are two other names for the Highest Common Factor?

A

Greatest common factor

Greatest common divisor

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31
Q

What does HCF stand for?

A

Highest Common Factor

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32
Q

What does GCF stand for?

A

Greatest Common Factor

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33
Q

What does GCD stand for?

A

Greatest Common Divisor

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34
Q

What is the Lowest Common Multiple?

A

The smallest numbers that can be created by multiplying two different numbers

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35
Q

What are Fractions?

A

A quotient of 2 qualities

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36
Q

What is a Numerator?

A

The top part of a fraction

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37
Q

What is the Denominator?

A

The bottom part of a fraction

38
Q

What are Like Fractions?

A

Ones that have the same denominator

39
Q

What are Unlike Fractions?

A

Those with different denominators

40
Q

What are Proper Fractions?

A

Ones where the numerator is less than her denominator

Those less than 1

41
Q

What are Improper Fractions?

A

Those where the numerator is more than the denominator

Those greater than 1

42
Q

What are Mixed Fractions?

A

A combination of an integer and a proper fraction

43
Q

If I raise a fraction to a higher term (________), will this change the fraction’s value?

A

(Multiplying both the numerator and the denominator by the same number)

No - it will not change

44
Q

If I add +1 to both the numerator and the denominator of a Proper Fraction, this will make the fraction’s value _____.

A

Increase

45
Q

If I add +1 to both the numerator and the denominator of an Improper Fraction, this will make the fraction’s value _____.

A

Decrease

46
Q

Adding a +1 to both the denominator and numerator of a fraction causes it’s value to move closer to ______.

A

One

47
Q

If I add +1 to the numerator of a fraction, this will make the fraction’s value _____.

A

Increase

48
Q

If I add +1 to the denominator of a fraction, this will make the fraction’s value _____.

A

Decreases

49
Q

If A/B = 3/7…

Is A+1/B+1 greater or lesser than A/B?

A

Greater

50
Q

If A/B = 3/7…

Is A/B+1 greater or lesser than A/B?

A

Lesser

51
Q

If A/B = 3/7…

Is A+B/A-B greater or lesser than A/B?

A

Lesser

52
Q

If M/N = 5/4….

Is M+7/N+7 greater or lesser than M/N?

A

Lesser

53
Q

If M/N = 5/4….

Is M+0.83/N+0.8 greater or lesser than M/N?

A

Greater

The larger number is being added to the top

54
Q

If M/N = 5/4….

Is M/N+0.01 greater or lesser than M/N?

A

Lesser

55
Q

If M/N = 5/4….

Is M-(-N)/M-N greater or lesser than M/N?

A

Greater

The top number will be larger

56
Q

How do you subtract like fractions?

P/Q + R/Q
P/Q - R/Q

A

P+R/Q

P-R/Q

57
Q

How do you add/subtract unlike fractions?

P/Q + R/S

P/Q - R/S

A

PS+QR/QS

PS-QR/QS

58
Q

When multiplying, you should change all mixed fractions into _____.

A

Improper fractions

59
Q

How do you divid fractions?

A

Flip the second fraction then multiply

60
Q

What is a complex fraction?

A

A fraction within a fraction

61
Q

How do you find the greater of two fractions?

A

Multiply the 1st nominator by the 2nd denominator then multiply the 1st denominator by there 2nd nominator.

If the first number is greater, then the first fraction is larger. If the second by number is greater, then the second fraction is larger.

If the numbers are equal then the fractions are equal

62
Q

What are decimals?

A

Number that have an integer along with a decimal fraction

63
Q

In the number 0.456….

4 is in the ______ place.

A

Tenths

64
Q

In the number 0.456….

5 is in the ______ place.

A

Hundredths

65
Q

In the number 0.456….

6 is in the ______ place.

A

Thousandths

66
Q

How else could you write the number 6.3¹/₄

A

6.325

67
Q

How else could you write the number 27.4²/₃

A

27.46666666

68
Q

What are percentages?

A

A quality expressed out of 100

69
Q

How do we put a percent into a decimal?

A

Divide the percentage by 100

70
Q

How do you change a decimal into a percent?

A

Multiply the decimal by 100

71
Q

How do you change a percent into a fraction?

A

Place the number over 100

%/100

72
Q

How do you change a fraction into a percent?

A

Multiply the fraction by 100 then all the “%” sign

73
Q

What is a ratio?

A

A quotient of two quantities

x:y or x/y

74
Q

What is a proportion?

A

A statement that compares the equivalency of two ratios

a:b::c:d or a:b = c:d

(This means a:b is equal to c:d)

75
Q

Can a proportion be reduced to lower terms or raised to higher terms?

A

Yes

76
Q

What is an average?

A

The sum of all the numbers divided by the total quantity of numbers

77
Q

What is another terms that mean average?

A

Mean

78
Q

What is the base of 7³?

A

7

79
Q

What is the exponent of 7³?

A

3

80
Q

What are two other terms for exponent?

A

Power

Index

81
Q

X⁰ = ?

A

1

82
Q

√16 can also be written as ______.

A

16 to the power of 1/2

83
Q

How else can ˣ√n be written?

A

n to the power of 1/x

84
Q

How else can √(a x b) be written?

A

√a x √b

85
Q

How else can √a/b be written?

A

√a / √b

86
Q

Does √(a ± b) = √a ± √b?

A

No

87
Q

Does x√a ± y√a = (x ± y)√a?

A

Yes

88
Q

What is the Order of Operations?

6

A

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

89
Q

What is Absolute Value?

3

A

The value of a number irregardless of its sign

It is always positive

It is never negative

90
Q

How is Absolute Value notated?

A

|x|

91
Q

What is |-4.19|?

A

4.19

92
Q

What is |25|?

A

25

GRE Math (6 decks)

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