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49 Cards in this Set
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 Back
Integers are...?

All numbers with no fractional or decimal parts; multiples of 1


PEMDAS

Parentheses
Exponents Multiplication Division Addition, Subtraction 

Addition and Multiplication are...

Commutative: doesn't matter in what order operation is performed


Addition and Multiplication are...

Associative: can be regrouped without changing the result


9
 is not equal to 4+5 
9 9
 +  4 5 

A fraction with the _________ denominator with have the larger value

smaller


What is one way you can determine whether a fraction is larger/smaller than another?

Compare via common denominator


Odd + Odd =

Even


Even + Even =

Even


Odd + Even =

Odd


Odd x Odd =

Odd


Even x Even =

Even


Odd x Even =

Even


A number is divisible by 2 if...

the last digit is divisible by 2


A number is divisible by 3 if...

the sum of its digits is divisible by 3
ex: 4,317 = 4+3+1+7 = 15 

A number is divisible by 4 if...

the last two digits are divisible by 4


A number is divisible by 5 if...

the last digit is 0 or 5


A number is divisible by 6 if...

it is divisible by both 2 and 3


A number is divisible by 9 if...

the sum of the digits is divisible by 9


Average value =

Sum of values
 Number of values 

Sum of values =

Average value x Number of values


Average miles per hour =

Total miles
 Total hours 

Ratio =

of... (sugar)
 to... (chocolate) 

Example: The ratio of domestic salesto foreign sales of a certain product is 3:5. What fraction of the total sales are domestic sales?

3
 = domestic to total sales 8 

Example: In a classroom of 30 students, the ratio of boys to students in a class is 2/5. How many are boys?

2 30
 x  = 12 boys 5 1 

Probability =

number of desired outcomes
 number of possible outcomes 

To find the probability of two events...
Ex: possibility of throwing a 5 on two dies... 
multiply together the two probabilities
Ex: 1/6 x 1/6 = 1/36 

19% =

19
 100 

To make a fraction/decimal a percent...

multiply by 100%


To make a percent a fraction/decimal...

divide by 100%


13 is 33 1/3% of what number?

whole = 13/ (1/3) = 39


18 is what % of 3?

18 = & x 3
18/3 (100%) = 600% 

x^4 times x^7 =

x^ (4+11) = x^11


If multiplying exponents...

Add


If dividing exponents...

Subtract


x^4 divided by x^2

x^ (42) = x^2


((x^2))^4

x^ (2x4) = x^8


To raise a power to an exponent...

multiply the exponents


x^0 =

1


A negative exponent indicates...

A reciprocal


x^(2) =

1/(x^2)


x^(1/3)

3 square root (x)


Only ____ radicals can be added to or subtracted from one another

Like


(6squr3) x (2squr5) =

(6 x 2) x (squr3 x squr5) =
12squr15 

The exponent of a power of 10 tells us how many _____ the number would have if written out.

zeroes


10^6

1,000,000 (6 zeroes)


0.00000079 =

7.9 x 10^7


5,600,000 =

5.6 x 10^6


416.04 divided by 10^4

416.04 x 10^4
or 0.041604 