Arithmetic Flashcards

1
Q

integer

A

{…,-3,-2,-1,0,1,2,3,…}

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2
Q

A negative * a negative

A

a positive

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3
Q

A negative * a positive

A

a negative

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4
Q

Factorization

A

listing all of the possible combinations of integers that are multiplied to make a number

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5
Q

Factor or divisor

A

numbers in a factorization

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6
Q

multiple

A

25: 25, 50, 75, 100, 125, 150,…

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7
Q

_____ is a factor of every integer

A

1

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8
Q

_____ is a multiple of every integer

A

zero

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9
Q

Least common multiple

A

the least positive number that is a multiple of two numbers, a and b

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10
Q

Multiples of 30

A

30, 60, 90, 120, 150,…

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11
Q

Greatest common factor

A

the greatest positive number that is a divisor of two numbers, a and b

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12
Q

Factors of 30

A

1, 30, 2, 15, 3, 10, 5, 6

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13
Q

Quotient with remainder

A

when two integers are divided that are not factors of one another;

example: 19/7= 2 remainder 5

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14
Q

The sum (+) of two even integers is….

A

an even number

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15
Q

The sum (+) of two odd integers is…

A

an even number

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16
Q

The sum (+) of an even integer and an odd integer is…

A

an odd number

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17
Q

The product (x) of two even integers is…

A

an even number

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18
Q

The product (x) of two odd integers is…

A

an odd number

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19
Q

The product (x) of an even integer and an odd integer is…

A

an even number

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20
Q

Prime number

A

integer greater than 1 that only can be divided by 1 and itself;

ex: (3, 5, 7, etc)

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21
Q

____ is not a prime number

A

One

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22
Q

Prime factorization

A

list of only the prime-number factors for an integer;

examples: 12= (2)(2)(3)= (2^2)(3)
14= (2)(7)
81= (3)(3)(3)(3)= 3^4

23
Q

Composite number

A

an integer greater than 1 that is not a prime number

24
Q

In a\b, a is the…

25
In a/b, b is the....
denominator
26
Fractions are also called _______ numbers
rational
27
When adding or subtracting fractions, the _______ must be the same
denominators example: (7/5) + (1/5) = 8/5
28
To add or subtract fractions with different denominators, find a ________
common denominator
29
When multiplying fractions, the _______ do not have to be the same
denominators example: (1/5) * (2/3) = (2/15)
30
To divide fractions, ____ the second fraction, and then multiply
invert example: (17/8) / (3/4) = (17/8)*(4/3)
31
An expression like 4 3/8 is called
mixed number
32
Convert to a fraction 4 3/8
(8*4)+3=35/8
33
If zero is the denominator of a fraction, it's
undefined
34
Used to denote the repeated multiplication of a number by itself
exponent
35
a^0
1
36
a^(-1)
(1/a)
37
0^0
undefined
38
Cube root of 8
2 because 2^3=8
39
Decimals that do not terminate or repeat are considered...
irrational numbers
40
All rational numbers and irrational numbers are
real numbers
41
The distance between an integer and zero on the real number line is
absolute value denoted: |3| = 3 |-2| = 2 |10.2| = 10.2
42
a(b + c) =
ab + ac
43
|a| * |b| =
|ab|
44
S/t or s:t represents
ratio
45
An equation relating two ratios
proportion Examples: 9/12 = 3/4 Solve these problems by cross multiplication
46
x/49 = 3/21
cross multiply 21x= (3)(49) x= 7
47
Meaning per hundred
percent
48
To compute a percent, divide the PART/WHOLE
example: What percent of 150 is 12.9? whole- 150, part- 12.9 12.9/150=0.086, 8.6%
49
What is 30% of 350?
Multiply the decimal form of 30% (.30) by 350= 105
50
15 is 60% of what number?
Divide 15 by the decimal form of 60% (.60) 15/.60= 25
51
To find percent increase...
amount of increase/the whole example: if quantity increases from 600 to 750, what is the percent increase? 150/600= .25--> 25%
52
If a quantity size DOUBLES, then the percent increase is...
100%
53
To find percent decrease...
decrease/the whole