Determinewhetherthetriangleisisosceles.ppt

Extra Notes on Slides Ch 1.1 Numbers, Data, and Problem Solving Important Definition Examples Natural Numbers – referred as counting numbers N = { 1,2,3,4,…. } Integers - Includes the natural numbers, their opposites, and 0 ….., -2, -1, 0, 1, 2,….. Rational number -- Any number that can be expressed as the ratio of two integers p/q, where q = 0 , all repeating and all terminating decimals 2/1, 1/3, -1/4, 22/7, 1.2, 0.4369, – 0.25 = ?, 0.33 = 1/3, and all fractions Irrational numbers Can be written as non-repeating, non-terminating decimals; cannot be rational numbers; a square root of A positive integer that is not an integer. Real Numbers – Represented by standard or decimal numbers, includes the rational numbers and irrational numbers Scientific notation A number in the form c x 10 n , where 1 c 10 and n is an integer, Used to represent numbers that are large or small in absolute value 0.789 = 7.89 x 10 -1 854,000 = 8.54 x 10 5 Percent change - If a quantity changes from c1 to c2, then the percent change equals c2 – c1 x 100 If the price of a gallon of gasoline changes from $1.00 to $ 1.40, then c1 the percent change is 1.40 – 1 x 100 1 Ch 1.2 – Visualization of Data Mean or average – To find the mean or average of n numbers, divide their sum by n. The mean of the four numbers -2, 3, 4,5, 6,8 is -2 + 3 + 4 + 5 + 6 + 8 = 4 6 Range - The range of a list of data is the difference between the maximum and the minimum of the numbers or values. The range of the data 3, -6, 2, 8, 10 is 10 – (-6) = 16 (Maximum – Minimum = Range) Median – The median of a sorted list of numbers equals the value that is located in the middle of the list. Half the data is great