Basics

Question 1

Order of Operations

Answer 1

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

Question 2

Commutative Law

Answer 2

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

Question 3

Associative Law

Answer 3

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

Question 4

Distributive Law

Question 5

Factoring

Question 6

Numerator

Question 7

Denominator

Question 8

Equivalent Fractions

Question 9

Radicals in the Denominator

Question 10

Lowest Terms

Question 11

Reducing a Fraction

Question 12

Canceling in Fractions

Question 13

Requirement for Adding or Subtracting

Fractions

Question 14

Least Common Multiple

Question 15

Multiplying Fractions

Question 16

Dividing Fractions Procedure

Question 17

Complex Fractions

Question 18

Complex Fractions Simplifation Methods

Question 19

Comparing Fractions

Question 20

Common Fraction to Decimal Equivalencies

Question 21

Benchmark Value

Question 22

Digits and Places

Question 23

Comparing Decimals- Technique

Question 25

1/100

Answer 25

.01 OR 1%

Question 26

1/50

Answer 26

.02 or 2%

Question 27

1/40

Answer 27

.025

Question 28

1/25

Answer 28

.04

Question 29

1/20

Answer 29

.05

Question 30

1/10

Answer 30

.1

Question 31

1/9

Answer 31

.1111111...

Question 32

1/8

Answer 32

.125

Question 33

1/5

Answer 33

.2

Question 34

1/4

Answer 34

.25

Question 35

1/3

Answer 35

.333...

Question 36

2/3

Answer 36

.666

Question 37

2/5

Answer 37

.4

Question 38

3/5

Answer 38

.6

Question 39

4/5

Answer 39

.8

Question 40

5/4

Answer 40

1.25

Question 41

1/6

Answer 41

.16 and 2/3 or .166666666

Question 42

5/6

Answer 42

.83 and 1/3 or .83333333333....

Question 43

1/7

Answer 43

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

Question 44

1/8

Answer 44

.125

Question 45

2/8

Answer 45

.25

Question 46

3/8

Answer 46

.375

Question 47

1/11

Answer 47

.09090909....

Question 48

2/11

Answer 48

.181818....

Question 49

3/11

Answer 49

.27272727...

Question 50

1/12

Answer 50

.08 and a 1/3 or .08333...

Question 51

Coefficent

Question 52

Base

Question 53

Exponment

Question 54

Square of a number

Question 55

Cube of a number

Question 56

Multiplying two terms with the same base

Question 57

Dividing two terms with the same base

Question 58

Raising a power to another power

Question 59

Multiplying two terms with the same exponents but different bases

Question 60

A number rasied to the first power equals what?

Question 61

A number raised to the zero power is what?

Question 62

0 raised to the zero power is what?

Answer 62

Undefined

Question 63

A negative exponent indicates what

Answer 63

a reciprical

Question 64

Procedure for raising a fraction to an exponent

Question 65

Bases of 10

Question 66

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

Answer 66

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

Question 67

10^6

Answer 67

1 + 6 Zeros or 1,000,000

Question 68

4x 10^3

Answer 68

Move the decimal 3 places to the right. 4000.

Question 69

4,000,000/10^6

Answer 69

Move decimal 6 palces to the left. 4

Question 70

4,000,000x10^-3

Answer 70

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

Question 71

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

Answer 71

True

Question 72

Adding Radicals

Answer 72

pg 669

Question 73

Subtracting Radicals

Answer 73

pg669

Question 74

Multiplying Radicals

Answer 74

pg 669

Question 75

Dividing Radicals

Answer 75

pg 669

Question 76

Factoring out radicals

Question 77

Exponents and radicals Radical 13^4

Answer 77

Equal to 13^2

Question 78

Rule for decimal under square root sign