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GMAT Arithmetic > Basics > Flashcards

Basics Flashcards

1
Q

Order of Operations

A

P = Parentheses E = Exponents M = Multiplication in order from left to right D = Division A = Addition in order from left to right S = Subtraction If an expression has parentheses within parentheses, work from the innermost out. This mnemonic will help you remember the order of operations: Please Excuse My Dear Aunt Sally (PEMDAS). Example: 30 – 5 × 4 + (7 – 3)2 ÷ 8 First, perform any operations within parentheses. 30 – 5 × 4 + 42 ÷ 8 Next, raise to any powers indicated by exponents. 30 – 5 × 4 + 16 ÷ 8 Then do all multiplication and division in order from left to right. 30 – 20 + 2 Last, do all addition and subtraction in order from left to right. 10 + 2 Answer: 12

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2
Q

Commutative Law

A

It doesn’t matter in what order the operation is performed. Addition and multiplication are both commutative, while division and subtraction are not commutative. Example: 5 + 8 = 8 + 5 2 × 6 = 6 × 2 3 – 2 ≠ 2 – 3 6 ÷ 2 ≠ 2 ÷ 6

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3
Q

Associative Law

A

The terms can be regrouped without changing the result. Addition and multiplication are also associative, while division and subtraction are not.

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4
Q

Distributive Law

A
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5
Q

Factoring

A
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6
Q

Numerator

A
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7
Q

Denominator

A
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8
Q

Equivalent Fractions

A
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9
Q

Radicals in the Denominator

A
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10
Q

Lowest Terms

A
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11
Q

Reducing a Fraction

A
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12
Q

Canceling in Fractions

A
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13
Q

Requirement for Adding or Subtracting

Fractions

A
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14
Q

Least Common Multiple

A
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15
Q

Multiplying Fractions

A
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16
Q

Dividing Fractions Procedure

A
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17
Q

Complex Fractions

A
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18
Q

Complex Fractions Simplifation Methods

A
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19
Q

Comparing Fractions

A
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20
Q

Common Fraction to Decimal Equivalencies

A
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21
Q

Benchmark Value

A
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22
Q

Digits and Places

A
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23
Q

Comparing Decimals- Technique

A
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24
Q
A
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25
Q

1/100

A

.01 OR 1%

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26
Q

1/50

A

.02 or 2%

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27
Q

1/40

A

.025

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28
Q

1/25

A

.04

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29
Q

1/20

A

.05

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30
Q

1/10

A

.1

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31
Q

1/9

A

.1111111…

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32
Q

1/8

33
Q

1/5

34
Q

1/4

35
Q

1/3

36
Q

2/3

37
Q

2/5

38
Q

3/5

39
Q

4/5

40
Q

5/4

41
Q

1/6

A

.16 and 2/3 or .166666666

42
Q

5/6

A

.83 and 1/3 or .83333333333….

43
Q

1/7

A

.14 and 2/7 .1428 then it gets more complicated

44
Q

1/8

45
Q

2/8

46
Q

3/8

47
Q

1/11

A

.09090909….

48
Q

2/11

A

.181818….

49
Q

3/11

A

.27272727…

50
Q

1/12

A

.08 and a 1/3 or .08333…

51
Q

Coefficent

53
Q

Exponment

54
Q

Square of a number

55
Q

Cube of a number

56
Q

Multiplying two terms with the same base

57
Q

Dividing two terms with the same base

58
Q

Raising a power to another power

59
Q

Multiplying two terms with the same exponents but different bases

60
Q

A number rasied to the first power equals what?

61
Q

A number raised to the zero power is what?

62
Q

0 raised to the zero power is what?

63
Q

A negative exponent indicates what

A

a reciprical

64
Q

Procedure for raising a fraction to an exponent

65
Q

Bases of 10

66
Q

Raising a positive fraction less than 1 to an exponent results in: A smaller or larger number?

A

Smaller

E.G. 2/4^2 is 4/9

67
Q

10^6

A

1 + 6 Zeros or 1,000,000

68
Q

4x 10^3

A

Move the decimal 3 places to the right. 4000.

69
Q

4,000,000/10^6

A

Move decimal 6 palces to the left. 4

70
Q

4,000,000x10^-3

A

Same as dividing by 10^3. Move decimal three places to the left. 4,000

71
Q

Radicals refer to positive numbers only on the GMAT? True or flase?

72
Q

Adding Radicals

73
Q

Subtracting Radicals

74
Q

Multiplying Radicals

75
Q

Dividing Radicals

76
Q

Factoring out radicals

77
Q

Exponents and radicals

Radical 13^4

A

Equal to

13^2

78
Q

Rule for decimal under square root sign

GMAT Arithmetic (1 decks)

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