Arithmetic Flashcards

1
Q

Integers

A

All positive and negative whole numbers and zero

…-3, -2, -1, 0, 1, 2, 3…

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2
Q

Is 0 positive or negative?

A

Neither

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3
Q

What are factors?

A

All of the numbers that can multiply to form a given number

Both the positive and negative forms

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4
Q

1 and 0 as factors

A

1 is a factor of every integer

0 is ONLY a factor of 0

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5
Q

1 and 0 as multiples

A

0 is a multiple of every integer

1 is ONLY a multiple of 1 and -1

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6
Q

Remainders

Dividing a smaller number by a larger number

A

6 ÷ 24 = 0 r 24

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7
Q

Remainders

When you divide an odd number in half/by 2…

A

the remainder is ALWAYS 1

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8
Q

even + even =

A
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9
Q

even + odd =

A

odd

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10
Q

odd + odd =

A

even

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11
Q

even x even=

A

even

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12
Q

odd x odd=

A

odd

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13
Q

odd x even=

A

even

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14
Q

Characteristics of a prime number

A

greater than 1

only 2 positive divisors: 1 and itself

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15
Q

First 10 primes

A

2 3

5 7

11 13

17 19

23 29

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16
Q

Composite number

A

larger than 1

not prime

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17
Q

First 10 composite numbers

A

4 6

8 9

10 12

14 15

16 18

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18
Q

0 as a denominator

A

Impossible

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19
Q

Adding fractions

A

need common denominator

20
Q

Dividing fractions

A

invert 2nd fraction and then multiply

21
Q

Negative raised to an even power=

A

positive number

22
Q

Negative raised to an odd power=

23
Q

a0=

24
Q

00=

25
a-1= a-2=
1/a 1/a2
26
(a)(a-1)
(a)(1/a)= 1
27
How many square roots do all positive numbers have
2: one positive and one negative
28
Which number only has 1 square root?
0 Square of 0 = 0
29
Square roots of negative numbers
not defined
30
(√a)2=
a
31
√a2=
a
32
√a√b=
√ab
33
_√a_ = √b
√a/b
34
explain n√a
the result is a number that when raised to nth power equals a
35
How many roots are there for every positive/negative number when the root is ODD?
exactly 1 root for every number 3√8= 2 3√-8= -2
36
How many roots are there for every positive/negative number when the root is EVEN?
2 for positive and 0 for negatives (undefined) 4√8 and - 4√8
37
Rational numbers
**Ratio**nal terminate or repeat decimals
38
Irrational numbers
Neither terminate nor repear √2 0.01011011101111...
39
Real numbers
all rational and irrational numbers
40
|absolute value|
distance between the number and 0 on a number line
41
triangle inequality
|a + b| = |a| + |b| ## Footnote ex: 5 and -2 |5 + (-2)| = |5-2| = |3| = 3 |5| + |-2| = 5 + 2 = 7
42
if a\>1 then a2
a2\>a
43
if 0 \< b \< 1 then b2
\< b
44
Proportion
relates 2 ratios cross-multiply to solve
45
How to find a percent change
_change_ base (initial amnt)
46
How to find a cumulative percent change
add or subtract percents from 100 depending on percent increase/decrease multiply the results together 100-that number is the percent change