Arithmetic Formulas/Information
Terms
undefined, object
copy deck
- Integers are...?
- All numbers with no fractional or decimal parts; multiples of 1
- PEMDAS
-
Parentheses
Exponents
Multiplication
Division
Addition, Subtraction - 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