Arithmetic Flashcards

(28 cards)

1
Q
Integers
\+ x + = 
- x - =
\+ x - = 
Each of the multiplied integers is called a \_\_\_\_\_ or \_\_\_\_\_\_ of the resulting 
product (\_\_\_\_\_\_)
A

+
+
-
factor, divisor, multiple

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2
Q

The Least Common Multiple

of 30 and 75 is

A

150

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3
Q

The Greatest Common Divisor

of 30 and 75 is

A

15

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4
Q

Quotient

19/7 =

A

2 remainder 5

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5
Q

Prime Number

A

A prime number is an integer greater than 1 that has only two positive divisors: 1 and itself.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
1 is not a prime number and 2 is the only even prime number

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6
Q

Every integer greater than 1 either is a prime number or can be uniquely expressed as a product of factors that are prime numbers, or prime divisors. Such an expression is called a prime factorization. An integer greater than 1 that is not a prime number is called a…

A

composite number

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7
Q

negative can be above or below?

-7/5 = 7/-5

A

Yes

-7/5 = 7/-5

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8
Q

to add or subtract two fractions with different denominators first find a…

A

common denominator

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9
Q

two multiply two fractions

A

multiply the two numerators and multiply the two denominators

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10
Q

two divide two fractions

A

multiple the first fraction by the reciprocal/inverse of the second

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11
Q

When negative numbers are raised to powers, the result may be

A

positive or negative

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12
Q

(-3)^2 = (-3)(-3) = 9

but -3^2 without the parentheses means the negative of 3 squared and equals

A

-9

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13
Q
a^0 = 
0^0 = 
a^-1=
a^-2=
square root of 0 = 
(square root a)^2 = 
square root of a^2=
(square root of a) x (square root of b) = 
(square root of a) / (square root of b) =
A
1
undefined
1/a
1/a^2
0
a
a
(square root of a x b)
(square root of a / b)
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14
Q

cube root of 8 =

A

2

is the cube root of

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15
Q

the number 7,532.418 have the

following place values

A
7 thousands
5 hundreds
3 tens
2 ones
.
4 tenths
1 hundredths
8 thousandths
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16
Q

2+3/10 =
612/1000=
in decimal form

A

2.3
.612
in fraction form

17
Q

decimals either terminate or repeat

but some do not, such as pi, these are called…

A

irrational numbers

18
Q

The set of all real numbers that are between 2 and 3 are an

19
Q

The distance between a number x and 0 on the number line is called the absolute value of x = IxI
I3I=I-3I=

A

3

the absolute value of

20
Q

If ab=0, then

A

a or b must equal 0

21
Q

division by 0 is

A

undefined

is the what by 0

22
Q

ratio of s to t can be written as

ration of r to s to t

A

s/t or s:t

r:s:t

23
Q

ration of 9 to 12 is equivalent to

24
Q

to solve a proportion…

x/49=3/21

A

cross multiple and divide

7

25
1 percent means
1 part our of 100 parts, or 1/100
26
.01%= what fraction
.01/100=.0001 | what percent equals this
27
Find 30% of 350
x=350 x .3 = 105 or use a proportion x/350=30/100, cross multiply and divide
28
If a quantity increases from 600 to 750, then the percent increase is found by percent decrease is found by
dividing the amount of increase, 150, by the base, 600, which is the initial number 750-600/600 = 150/600=.25,25% increase dividing the change over the base