Arithmetic Flashcards

integers, fractions, exponents and roots, decimals, real numbers, ratio, percent

1
Q

What are integers?

A

{…, -2, -1, 0, 1, 2}

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2
Q

Positive integers are

A

greater than 0

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3
Q

negative integers are

A

less than 0

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4
Q

0 is

A

neither positive or negative

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5
Q

When integers are added, subtracted, multiplied or divided the result is always

A

an integer

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6
Q

The sum of two positive integers is

A

positive

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7
Q

The sum of two negative integers is

A

positive

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8
Q

The sum of a positive integer and negative integer is

A

negative

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9
Q

When integers are multiplied, each of the multiplied integers is called a ______ or _____ of the resulting product.

A

factor or divisor

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10
Q

The product of two even integers is an

A

even integer

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11
Q

The product of two odd integers is an

A

odd integer

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12
Q

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

A

even integer

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13
Q

What is a prime number?

A

an integer greater than 1 that only has two positive divisors: 1 and itself.

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14
Q

First 10 prime numbers

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

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15
Q

What is a prime divisor?

A

an integer greater than 1 or the product of factors that are prime.

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16
Q

What is a composite number?

A

an integer greater than 2 that is not prime.

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17
Q

The first 10 composite numbers are

A

4, 6, 8, 9, 10, 12, 14, 15, 16, 18

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18
Q

Top of fraction

A

Numerator

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19
Q

Bottom of fraction

A

Denominator

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20
Q

When adding fractions with same denominator, you ____ the numerators and _____ the denominator

A

add the numerators and keep the same denominators

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21
Q

When adding fractions with different denominator, you

A

1) find common denominator (common multiple of two denominators)
2) convert both fractions to equivalent fractions with the same denominator
3) add numerators and keep common denominator

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22
Q

To multiply fractions __________ the two numerators and ____ the two denominators.

A

Multiply the two numerators and the two denominators

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23
Q

To divide one fraction by another

A

1) invert the second fraction (it’s reciprocal-flip it)

2) multiply the first fraction by the inverted fraction

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24
Q

What is a mixed number?

A

integer and fraction

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25
Convert mixed number to a fraction
1) convert integer to fraction with same denominator | 2) add to existing fraction
26
What are exponents?
repeated multiplication of a number by itself
27
squaring
exponent is 2
28
when negative numbers are raised in exponents, the result
can be positive or negative
29
Negative number raised to even exponent
positive
30
negative number raised to an odd exponent
negative
31
exponent zero
undefined
32
negative exponents
make it 1/ the base and square
33
What is a square root?
r^2=2
34
All positive numbers
have two square roots | one positive, one negative
35
square root of 0 is
0
36
all negative numbers
have one square root
37
absolute value
distance between a number and 0 on the number line.
38
/3/=
3
39
/-3/=
3
40
/x/=
x
41
/-x/=
x
42
/0/=
0
43
value of any nonzero number is
positive
44
r+s=
s+r
45
rs=
sr
46
(r+s)+t=
r+(s+t) and | rs)t=r(st
47
r(s+t)=
rs+rt
48
r+0=
r
49
(r)(0)=
0
50
(r)(1)=
r
51
rs=0
r=0 s=0 or both
52
Division by 0 is
undefined
53
If both r and s are positive then
r+s and rs are positive
54
If both r and s are negative then
r+s is negative and rs is positive
55
If r is positive and s is negative then
rs is negative
56
/r+s/
triangle inequality
57
/r//s/=
/rs/
58
If r>1 then
r^2>r
59
If 0
s^2
60
What is a ratio?
expresses the relative size of two numbers, usually in a fraction.
61
What is a proportion?
equation relating to ratios. | Solve by cross multiplication.
62
What is a percent?
ratios that are used to represent parts of a whole (of 100).
63
0.01%
0.01/100=0.0001
64
Can be converted to a fraction or decimal by
dividing part by whole
65
find 30% of 350
30/100 = x/350
66
15 is 60% of what number?
15/x = 60/100
67
percent increase
amount of increase (larger - smaller)/ base (smaller number
68
percent decrease
amount of decrease (larger-smaller)/base (larger number)