GRE Quantitative Basics from Kaplan Flashcards
Consecutive Numbers
Numbers of a certain type, following one another without interruption. Numbers may be consecutive in ascending or descending order.
- 4, -2, 0, 2, 4 is a series of consecutive even numbers.
- 3, 0, 3, 6, 9 is a series of consecutive multiples of 3.
2, 3, 5, 7, 11 is a series of consecutive prime numbers.
Cube
A number raised to the 3rd power.
4^3 = 4x4x4 = 64, showing that 64 is the cube of 4.
Distinct
Different from each other. The number 321,321,000 has nine digits, but only four distinct digits: 3,2, 1 and 0.
Exponent
The number that denotes the power to which another number or variable is raised. The exponent is also referred to as a power (“5 to the third power”).
5^3 = 5x5x5
Fraction
Brøk: 1/2
Integer
A whole number without fractional or decimal parts. Integers can be positive or negative numbers and include zero. All integers are multiples of 1.
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
Integers are all multiples of…
1.
Product
Result of a multiplication
Is zero an integer?
Yes.
Sequence
Lists that have an infinite number of terms, that are in order.
How would you identify the third number in a sequence?
a3
What is a set?
A set is a well defined collection of numbers (objects or events). Bracket symbols are usually used to define sets of numbers.
Square
The product of a number multiplied by itself. A square number has been raised to the second power. 4^2 = 4x4=16.
PEMDAS
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Please Excuse My Dear Aunt Sally
Addition and multiplication are both commutative, which means…
Switching the order of any two numbers being or multiplied together does not affect the result.
5+8=8+5
(2)(3)(6)=(6)(3)(2)
Division and subtraction are not commutative, which means…
Switching the order of the numbers changes the results.
3-2 is not the same as 2-3
6/3 is not the same as 3/6
An integer is divisible by 2 if…
its last digit is divisible by 2
Ex. 6,930 is divisible by 2 since 0 is even
An integer is divisible by 3 if…
its total digits add up to a multiple of 3
Ex. 6,930 = 6+9+3+0= 18, 18/3 = 6 and is thus divisible by 3
An integer is divisible by 4 if…
its last 2 digits are a multiple of 4.
Ex. 6,932 is a divisible by 4 as 32/4 = 8
An integer is divisible by 5 if…
its last digit is 0 or 5.
Ex. 6,930 is divisible by 5 as it ends in 0.
An integer is divisible by 6 if…
it is divisible by both 2 AND 3
An integer is divisible by 9 if…
Its digits add up to a multiple of 9
Ex. 6,930 = 9+6+3+0 =18 so it is divisible by 9 as 18/9=2.
Odd + Odd =
Even
Even + Even =
Even
