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### 49 Cards in this Set

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 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