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49 Cards in this Set
- Front
- Back
Integers are...?
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All numbers with no fractional or decimal parts; multiples of 1
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PEMDAS
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Parentheses
Exponents Multiplication Division Addition, Subtraction |
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Addition and Multiplication are...
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Commutative: doesn't matter in what order operation is performed
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Addition and Multiplication are...
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Associative: can be regrouped without changing the result
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9
--- is not equal to 4+5 |
9 9
- + - 4 5 |
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A fraction with the _________ denominator with have the larger value
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smaller
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What is one way you can determine whether a fraction is larger/smaller than another?
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Compare via common denominator
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Odd + Odd =
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Even
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Even + Even =
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Even
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Odd + Even =
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Odd
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Odd x Odd =
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Odd
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Even x Even =
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Even
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Odd x Even =
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Even
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A number is divisible by 2 if...
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the last digit is divisible by 2
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A number is divisible by 3 if...
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the sum of its digits is divisible by 3
ex: 4,317 = 4+3+1+7 = 15 |
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A number is divisible by 4 if...
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the last two digits are divisible by 4
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A number is divisible by 5 if...
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the last digit is 0 or 5
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A number is divisible by 6 if...
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it is divisible by both 2 and 3
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A number is divisible by 9 if...
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the sum of the digits is divisible by 9
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Average value =
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Sum of values
------------- Number of values |
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Sum of values =
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Average value x Number of values
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Average miles per hour =
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Total miles
----------- Total hours |
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Ratio =
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of... (sugar)
----- to... (chocolate) |
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Example: The ratio of domestic salesto foreign sales of a certain product is 3:5. What fraction of the total sales are domestic sales?
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3
- = domestic to total sales 8 |
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Example: In a classroom of 30 students, the ratio of boys to students in a class is 2/5. How many are boys?
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2 30
- x - = 12 boys 5 1 |
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Probability =
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number of desired outcomes
--------------------------- number of possible outcomes |
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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 |
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19% =
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19
--- 100 |
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To make a fraction/decimal a percent...
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multiply by 100%
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To make a percent a fraction/decimal...
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divide by 100%
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13 is 33 1/3% of what number?
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whole = 13/ (1/3) = 39
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18 is what % of 3?
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18 = & x 3
18/3 (100%) = 600% |
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x^4 times x^7 =
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x^ (4+11) = x^11
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If multiplying exponents...
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Add
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If dividing exponents...
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Subtract
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x^4 divided by x^2
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x^ (4-2) = x^2
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((x^2))^4
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x^ (2x4) = x^8
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To raise a power to an exponent...
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multiply the exponents
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x^0 =
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1
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A negative exponent indicates...
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A reciprocal
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x^(-2) =
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1/(x^2)
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x^(1/3)
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3 square root (x)
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Only ____ radicals can be added to or subtracted from one another
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Like
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(6squr3) x (2squr5) =
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(6 x 2) x (squr3 x squr5) =
12squr15 |
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The exponent of a power of 10 tells us how many _____ the number would have if written out.
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zeroes
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10^6
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1,000,000 (6 zeroes)
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0.00000079 =
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7.9 x 10^-7
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5,600,000 =
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5.6 x 10^6
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416.04 divided by 10^4
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416.04 x 10^-4
or 0.041604 |