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# Module 2, topic 2

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### Module 2, topic 2

1. 1. Order of Operations
2. 2. <ul><li>P arentheses </li></ul><ul><li>E xponents </li></ul><ul><li>M ultiplication </li></ul><ul><li>D ivision </li></ul><ul><li>A ddition </li></ul><ul><li>S ubtraction </li></ul>
3. 3. <ul><li>Parentheses can mean any of the following: </li></ul><ul><li>( ), [ ], or { } </li></ul><ul><li>Even though we say addition before subtraction, they are equals. For example, let’s simplify the following: 8 – 6 + 2. Because subtraction comes first, I do 8-6, which is 2. Then I do 2 + 2, which is 4.  </li></ul><ul><li>The same idea applies to multiplication and division. </li></ul>
4. 4. <ul><li>= 3 + 16 – 8 </li></ul><ul><li>= 19 – 8 </li></ul><ul><li>= 11 </li></ul><ul><li>= 36 + 7 – 21 </li></ul><ul><li>= 43 – 21 </li></ul><ul><li>= 22 </li></ul>
5. 5. <ul><li>= 5p + (-8p)(6) + 4p </li></ul><ul><li>= 5p + (-48p) + 4p </li></ul><ul><li>= -43p + 4p </li></ul><ul><li>= -39p </li></ul><ul><li>= -4y(2) + 15y </li></ul><ul><li>= -8y + 15y </li></ul><ul><li>= 7y </li></ul><ul><li>**Notice that the variable is in the answer!!! </li></ul>
6. 6. <ul><li>The population of purple zebras is currently 200,000, but is decreasing at a rate of 6% each year. Use P = 200000(0.94) t , where P is population and t is time in years, to predict the number of purple zebras left after 25 years. </li></ul><ul><ul><ul><li>Do: P = 200000(0.94) 25 </li></ul></ul></ul><ul><ul><ul><li>(I would use my calculator, and round to the nearest whole number) </li></ul></ul></ul><ul><ul><ul><li>There will be approximately 42,582 purple zebras. </li></ul></ul></ul>
7. 7. <ul><li>Yadier has a checking account. He started off with \$35, and adds \$20 each week. If </li></ul><ul><li>m = 35 + 20w represents the amount of money, m, in the account after w weeks, find the amount Yadier has after 10 weeks. </li></ul><ul><li>Do: m = 35 + 20(10) </li></ul><ul><li> = 35 + 200 </li></ul><ul><li> = 235 </li></ul><ul><li>Yadier has \$235 after 10 weeks. </li></ul>