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Ari's GMAT > Fundamentals Of Math > Flashcards

Fundamentals Of Math Flashcards

1
Q

Value

A

Another word for ‘number’

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2
Q

Counting Numbers

A

Stereotypical Numbers that you count separate things with.

1,2,3, etc

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3
Q

Digits

A

(0,1,2,3,4,5,6,7,8,9) - The ten symbols.

412 = 3 digits

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4
Q

Place Value

A

How much a digit in a specific position is worth.

412

2 - Units Digits
1 - Tens
4 - Hundreths

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5
Q

Negative Counting Numbers

A

Numbers left of the zero line

Etc, -3, -2, -1

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6
Q

35 - 52 = ?

A

Convert to Big minus Small

52 - 35 = -17

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7
Q

Positive Numbers

A

Numbers to the right of ‘0’

Not Including Zero

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8
Q

Negative Numbers

A

Numbers to the left of ‘0’

Not Including Zero

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9
Q

Inequalities

A

Statements that involve “bigger than” (>) or “smaller than” (

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10
Q

Product

A

Result of multiplying two numbers.

12 is the product of 4 and 3

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11
Q

Factors

A

A number of quantity that when multiplied with another produces a given number.

4 and 3 are factors of 12

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12
Q

Zero and Division

A

0 divided by 13 = 0

13 divided by 0 = undefined

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13
Q

Distribution

A

4 x (3 + 2) = (4x3) + (4x2) = 12+ 8 = 20

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14
Q

Common Factor

A 
4 x 3 + 4 x 2 = ?
4 x (3 + 2) = 20
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15
Q

Division and Positives vs Negatives

A

+ / + = +
+ / - = -
- / + = -
- / - = +

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16
Q

Adding, Subtracting, Multiplying Integers

A

Always results in an Integer

Int + Int = Int
Int - Int = Int
Int x Int = Int

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17
Q

Dividing Integers

A

Int / Int = Sometimes Integer, Sometimes Not

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18
Q

Numerator

A

Number above the Fraction Line

7 / 5 =

7 is the numerator

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19
Q

Denominator

A

Number below the fraction line

7 / 4 =

4 is the denominator

20
Q

Fraction Line

A

The ‘/’ in division.

21
Q

Decimal Point

A

Used to extend the place value to the right for decimals. Each place to the right of the decimal point is worth a tenth (1/10), a hundredth (1/100), etc.

  1. 5 = 3 + 5/10
  2. 25 = 1 + 2/10 + 5/100
22
Q

Integer

A

A number with no fraction or decimal part.

23
Q

3.5

A 
Integer part (3)
Fractional part or decimal part (0.5)
24
Q

Rewrite 2 / 7 as a product

A

2 x (1/7)

25
Q 
3 / 15
Divisible
Multiple
Factor
Goes Into
Divides
A 
15 is divisible by 3
15 is a multiple of 3
3 is a factor 15
3 goes into 15
3 divides 15
26
Q

Even integers

A

Even integers are divisible by 2

0, 2, 4, 6, 8 as units digit

27
Q

Odd integers

A

Not divisible by 2

1, 3, 5, 7, 9

28
Q

0 even or odd?

A

0 is even because it is divisible by 2

0 / 2 = 0

29
Q

5^2 - defined

A

5 is the base

2 is the exponent

30
Q

Perfect Square

A

The square of an integer.

25 is a perfect square because 25 = 5^2 = int^2

31
Q

Perfect Cube

A

A perfect cube is the cube of an integer.

64 = 4^3 = int^3

32
Q

Roots

A
  • Roots undo exponents.
  • Square root of a perfect square is an integer, because a perfect square is an integer squared. (sqt36 = Int because 36 = int^2)
  • Square root of any non-perfect square is unending decimal that never repeats.
33
Q

Cube root

A

CubeRoot(8) = 2 because 2^3 = 8

34
Q

Variable

A

An unknown number. (Aka unknown)

35
Q

Coefficient

A

3x

3 is the coefficient

36
Q

Expression

A

Anything that ultimately represents a number somehow. (Recipe)

x + y
3xz - y^2

37
Q

Term

A

In an expression involves no addition or subtraction. (Typically)

Expression :: Terms :: # of Terms
x + y :: x, y :: Two
3xz - y^2 :: 3xz, y^2 :: Two

38
Q

Equation

A

Sets one expression = to another

39
Q

Order of Operations

A

PE(MD)(AS)

40
Q

sqt(2) * sqt(2)x

A

2x

41
Q

An integer is divisible by:

A

2 if the integer is even
3 if the sum of the integer’s digits is a multiple of 3
5 if the integer ends in 0 or 5
9 if the sum of the integers digits is multiple of 9
10 if the integer ends in 0

42
Q

Factor Pair

A

A factor pair of 60 is a pair of integers that multiples together to 60

15 x 4 = 60 so 15, 4

43
Q

Primes Less than 20

A

2, 3, 5, 7, 11, 13, 17, 19

  • 2 is the only even prime number
44
Q

All prime number between 20-50

A

23, 29, 31, 37, 41, 43, 47

45
Q

Prime Factorization

A

Numbers that Multiplied add up to Product
The base numbers are divisors of the Number
If d has e and f as prime factors, d is also divisible by e*f. (90 is divisible by 5 and by 3, so 90 is also divisible by 15)

Ari's GMAT (3 decks)

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