Basics Flashcards Preview

GMAT Arithmetic > Basics > Flashcards

Flashcards in Basics Deck (78)
Loading flashcards...
1

Order of Operations

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

2

Commutative Law

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

3

Associative Law

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

4

Distributive Law

5

Factoring

6

Numerator

7

Denominator

8

Equivalent Fractions

9

Radicals in the Denominator

10

Lowest Terms

11

Reducing a Fraction

12

Canceling in Fractions

13

Requirement for Adding or Subtracting 

Fractions

14

Least Common Multiple

15

Multiplying Fractions

16

Dividing Fractions Procedure 

17

Complex Fractions

18

Complex Fractions Simplifation Methods

19

Comparing Fractions

20

Common Fraction to Decimal Equivalencies

21

Benchmark Value

22

Digits and Places

23

Comparing Decimals- Technique

24

25

1/100

.01 OR 1%

26

1/50

.02 or 2%

27

1/40

.025

28

1/25

.04

29

1/20

.05

30

1/10

.1