Example 9 on p.50 Evaluate: ORDER OF OPERATIONS

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Example 9 on p.50 Evaluate: ORDER OF OPERATIONS Please: do all operations within parentheses and other grouping symbols (such as [ ], or operations in numerators and denominators of fractions) from innermost outward. Excuse: calculate exponents My,Dear: do all multiplications and divisions as they occur from left to right Aunt,Sally: do all additions and subtractions as they occur from left to right. Example: 20 – 2 + 3(8 - 6)2 Expression in parentheses gets calculated first = 20 – 2 + 3(2)2 Next comes all items with exponents = 20 – 2 + 3(4) Next in order comes multiplication. Multiplication and Division always come before addition or division, even if to the right. = 20 – 2 + 12 Now when choosing between when to do addition and when to do subtraction, always go from left to right, so do 20-2 first, because the subtraction is to the left of the addition. = 18 + 12 Now finally we can do the addition. = 30 Example 9 on p.50 Evaluate: Think of the numerator and denominator of this fraction as each being their own grouping. In fact, you must use parentheses when doing these operations on a calculator. Put parentheses around the numerator, then use the button for the fraction bar, then put parentheses around the denominator. Also, some calculators do not recognize 3(22) as multiplication, and there is a special button for exponents; so you might have to use ( 3 (2 xy 3) )

Average Margin of Victory was approx. 29 points. Arithmetic Mean (Average) To find the mean of a set of objects, divide the sum of the object’s values by the number of objects. Last year USC had a perfect season of 12 winning games (not including the ROSE BOWL!). Find their average margin of victory (difference between winning and losing scores). DATE OPPONENT W/L SCORE ATTEND ------------ ------------------------ --- ----- ------ Sep 3, 2005 at Hawai`i W 63-17 50000 Sep 17, 2005 ARKANSAS W 70-17 90411 *Sep 24, 2005 at #24 Oregon W 45-13 59129 *Oct 01, 2005 at #14 Arizona State W 38-28 71706 *Oct 08, 2005 ARIZONA W 42-21 90221 Oct 15, 2005 at #9 Notre Dame W 34-31 80795 *Oct 22, 2005 at Washington W 51-24 64096 *Oct 29, 2005 WASHINGTON STATE W 55-13 92021 *Nov 05, 2005 STANFORD W 51-21 90212 *Nov 12, 2005 at California W 35-10 72981 Nov 19, 2005 #16 FRESNO STATE W 50-42 90007 *Dec 03, 2005 #11 UCLA BRUINS W 66-19 92000 Taken from http://usctrojans.cstv.com/sports/m-footbl/spec-rel/usc-m-footbl-CumulativeStats.html Average Margin of Victory was approx. 29 points.

HOMEWORK Section 1.5 p. 52 #1-95 ODD