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ACT Math > Arithmetic > Flashcards

Arithmetic Flashcards

1
Q

difference

A

result of subtraction

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2
Q

quotient

A

result of division

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3
Q

sum

A

result of addition

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4
Q

product

A

result of multiplication

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5
Q

remainder

A

whole number left over from division

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6
Q

median

A

middle number of an ordered set

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7
Q

mode

A

most frequently occurring number(s) in a set

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8
Q

order of operations

A
  1. P – parentheses 2. E – exponents or roots 3. MD – multiplication or division from left to right 4. AS – addition or subtraction from left to right
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9
Q

divisible by 1

A

integers

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10
Q

divisible by 2

A

even numbers

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11
Q

divisible by 3

A

sum of digits is a multiple of 3

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12
Q

divisible by 5

A

units digit is 0 or 5

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13
Q

divisible by 6

A

divisible by 2 and 3

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14
Q

divisible by 9

A

sum of digits is a multiple of 9

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15
Q

divisible by 10

A

units digit is 0

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16
Q

adding or subtracting fractions

A

change to a common denominator combine numerators; keep the same denominator

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17
Q

multiplying fractions

A

multiply “straight across”

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18
Q

dividing fractions

A

multiply the first fraction by the reciprocal of the second fraction

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19
Q

meaning of an exponent

A

repeated multiplication

20
Q

power

A

base^exponent

21
Q

multiplying powers of the same base

A

base^sum of exponents

22
Q

dividing powers of the same base

A

base^difference of exponents

23
Q

power of a power

A

base^product of exponents

24
Q

fractional exponent

A

exponent over root

25
Q

negative exponent

A

take the reciprocal

26
Q

percent change

A

(new - original) / original

27
Q

negative numbers

A

less than 0

28
Q

positive numbers

A

greater than 0

29
Q

even

A

integers that end in 0, 2, 4, 6, or 8

30
Q

odd

A

integers that end in 1, 3, 5, 7, or 9

31
Q

digits

A

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

32
Q

units digit

A

digit in the one’s place

33
Q

consecutive

A

in order without skipping

34
Q

arithmetic mean (a.k.a. average)

A

average = sum / count

35
Q

maximum

A

greatest value

36
Q

minimum

A

least value

37
Q

prime

A

having exactly two factors: 1 and itself

38
Q

composite

A

having more than two factors

39
Q

factors of a number

A

integers that are be multiplied to get that number

40
Q

multiples of a number

A

that number multiplied by an integer

41
Q

numerator

A

top quantity in a fraction

42
Q

denominator

A

bottom quantity in a fraction

43
Q

reducing a fraction (simplifying)

A

divide numerator and denominator by a common factor

44
Q

zero exponent

A

base^0 = 1

45
Q

area

A

“squares inside” two-dimensional measured in square units (units^2)

46
Q

volume

A

“cubes inside” three-dimensional measured in cubic units (units^3)

ACT Math (6 decks)

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