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49 Cards in this Set

  • Front
  • 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^ (4-2) = 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