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GRE Prep > Math Vocabulary > Flashcards

Math Vocabulary Flashcards

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0
Q

What are Integers?

A

0, ±1, ±2, ±3, ±4, …

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1
Q

What are Whole Numbers?

A

0,1,2,3,4,….

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2
Q

What does “±3” mean?

A

Both +3 and -3

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3
Q

What are Positive Integers?

A

Integers that are greater than 0

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4
Q

What are Negative Integers?

A

Integers that are less than 0

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5
Q

What are Even Integers?

A

0, ±2, ±4, ±6, …

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6
Q

What are Odd Integers?

A

±1, ±3, ±5, ±7, …

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7
Q

C > D

What does this mean?

A

C is greater than D

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8
Q

C < D

What does this mean?

A

C is less than D

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9
Q

A ≤ B

What does this mean?

A

A is less than or equal to B

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10
Q

A ≥ B

What does this mean?

A

A is greater than or equal to B

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11
Q

Graph all integers between -4 and 5

A

-3, -2, -1, 0, 1, 2, 3, 4

Between does not include the endpoints of -4 and 5

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12
Q

Graph all the multiples of 5 between 20 and 40 inclusively

A

20, 25, 30, 35, 40

“Inclusively” means to include the endpoints

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13
Q

The sum of two even integers is…

A

…even

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14
Q

The sum of two odd integers is…

A

…even

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15
Q

The sum of an even integer and an odd integer is…

A

…odd

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16
Q

The product of two even integers is…

A

…even

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17
Q

The product of two odd integers is…

A

…odd

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18
Q

The product of an even integer and an odd integer is…

A

…even

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19
Q

If n is even, n² is…

A

…even

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20
Q

If n is odd, then n² is…

A

…odd

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21
Q

If n² is even and n is an integer then n is…

A

…even

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22
Q

If n² is odd and n is an integer, then n is…

A

…odd

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23
Q

What is a Product?

A

Refers to the answer in multiplication

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24
Q

Quotent

A

Refers to the answer in division

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25
Q

Sum

A

Refers to the answer in addition

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26
Q

Difference

A

Refers to the answer in subtraction

27
Q

Multiple

A

The product of any two whole numbers

28
Q

Factors

Divisors

A

A number that evenly divides into another number.

29
Q

Prime

A

A positive integer with exactly two distinct factors: the number and 1

30
Q

First 8 Prime Numbers

A

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

31
Q

Composite

A

Numbers with more than 2 factors

32
Q

Write 28 as the product of prime factors

A

2 x 2 x 7

33
Q

If a number is divisible by 2 if…

A

…it ends in an even number

34
Q

A number is divisible by 3 if…

A

…the sum of its digits is divisible by 3

35
Q

A number is divisible by 9 if…

A

..the sum of its digits is divisible by 9

36
Q

A number is divisible by 4 if…

A

…its last two digits are divisible by 4

37
Q

A number is divisible by 5 if..

A

…its last digit is 0 or 5

38
Q

A number is divisible by 6 if…

A

…it ends in an even number

…the sum of its digits is divisible by 3 or 9

39
Q

A number is divisible by 7 if…

A

There is no rule for this

40
Q

A number is divisible by 10 if…

A

…it ends in 0

41
Q

A number is divisible by 11 if…

A

…the difference between the sum of its even-place digits and the sum of its odd place digits is a multiple of 11.

 Example:   928,193,926

 9 + 8 + 9 + 9 + 6 = 41
 2 + 1 + 3 + 2 = 8

 41 - 8 = 33
45
Q

What are all the factors of 28?

A

1, 2, 4, 7, 14, 28

46
Q

When multiplying numbers, if there are an odd number of negative numbers then…

A

…the answer will be negative

47
Q

When multiplying numbers, if there are an even number of negative numbers then…

A

…the answer will be positive

48
Q

Mean

A

The average

Add all number then divide by how many numbers you just added

49
Q

Median

A

The middle number

Line up all the numbers in order and pick the middle one

50
Q

Mode

A

Most common

The number that occurred with the highest frequency

51
Q

Bimodal

A

A number set with two equally occurring numbers

52
Q

Range

A

The highest number minus the lowest number

53
Q

When adding and subtracting with decimals, always…

A

…line up the decimal points.

54
Q

When multiplying with decimals…

A

…count the number of decimal places and add them. This will be the number of decimal places for the product.

55
Q

When dividing by decimals…

A

…move the decimal point in the divisor and the dividend (the number being divided into) by the same number of points so that the divisor loses its decimals

56
Q

When reading a number with a decimal…

A

Read the whole number, say the word “and”, then the decimal portion as an ordinal number

57
Q

Numerator

A

The top part of the fraction

58
Q

Denominator

A

The bottom part of the fraction

59
Q

If the bottom number of two fractions are the same but the top number differs then…

A

…the fraction with the bigger top number is the largest

60
Q

If both the top and bottom numbers of two fractions differ, then…

A

… find the lowest common denominator (LCD)

61
Q

Rational Number

A

Any integer divided by an integers where the solution does not equal zero

An repeating of terminating decimal

62
Q

A fraction is less that 1/2 if…

A

…the bottom number is more than twice the top

63
Q

To double a fraction…

A

Double the top or halve the bottom

64
Q

Adding the same number to the top and bottom of a fraction…

A

…brings it closer to 1

65
Q

Adding/Subtracting Fractions

A

Find the lowest common denominator and add the top numbers

66
Q

Multiplying Fractions

A

Multiply the numerators with each other and the denominators with each other

You can reduce diagonally or vertically as you go to make the numbers smaller

50/15 x 27/8 =
    = 10/3 x 27/8 
    = 5/3 x 27/4
    = 5/1 x 9/4
    = 45/4
    = 11 1/4
67
Q

Reciprocal

A

Inverting a fraction (turning it upside down)

2/3 => 3/2

5 => 1/5

68
Q

Dividing Fractions

A

Invert the second fraction and multiply

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