Chapter 1: Sections 3&4 Evaluate Integers Ab Value

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Chapter 1, Section 3: Evaluating Integers, Section 4: Absolute value. Notes from September 2nd, 2009

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Chapter 1: Sections 3&4 Evaluate Integers Ab Value

  1. 1. Chapter 1 Section 3: Evaluating Expressions Section 4: Integers and Absolute Value By Ms. Dewey-Hoffman, 2009 http://msdhpowerpoints.blogspot.com/
  2. 2. Evaluating Variable Expressions <ul><li>Evaluate a Variable Expression </li></ul><ul><ul><li>Replace each variable with a number. </li></ul></ul><ul><ul><li>Use Order of Operations to Simplify. </li></ul></ul><ul><li>Example Problems: </li></ul><ul><ul><li>Evaluate 4 y – 15, y = 9 </li></ul></ul><ul><ul><li>4 (9) – 15  Replace variable with a number. </li></ul></ul><ul><ul><li>4 (9) = 36  Order of Operations. Multiplication. </li></ul></ul><ul><ul><li>36 – 15 = 21  Simplify. Subtraction. </li></ul></ul>
  3. 3. Example Problems: Try These, Show Steps. <ul><li>6(g + h), for g = 9, h = 7 </li></ul><ul><li>2xy – z, for x = 4, y = 3, z = 1 </li></ul><ul><li>r + s , for r = 13, s = 11 </li></ul><ul><li>2 </li></ul>
  4. 4. Word Problems <ul><li>Bottles of energy drinks come 24 bottles to a case. </li></ul><ul><li>How many cases does a store need to order if they want 120 energy drink bottles? </li></ul><ul><li>An online store that sells only gummies (worms and bears) and charges $0.75 for every pound that is ordered, plus a fee of $6.00 for shipping costs. Write an expression that relates the total price of an order in p pounds. </li></ul>
  5. 5. Integers <ul><li>Integers </li></ul><ul><ul><li>Whole numbers and their opposites. No decimals or fractions. </li></ul></ul><ul><li>Opposites </li></ul><ul><ul><li>The distance a number is from zero, but on the opposite side of zero. </li></ul></ul><ul><ul><li>Opposite of 7 is –7, opposite of –9 is 9. </li></ul></ul><ul><ul><li>There is no opposite of zero! </li></ul></ul><ul><ul><li>A negative sign means “opposite”. </li></ul></ul><ul><ul><li>Example Problems: Simplify </li></ul></ul><ul><ul><li>The opposite of –9 </li></ul></ul><ul><ul><li>The opposite of positive 27 </li></ul></ul><ul><ul><li>-(-6) </li></ul></ul><ul><ul><li>-(-(-7) </li></ul></ul>
  6. 6. Absolute Value <ul><li>Absolute Value </li></ul><ul><ul><li>Is the measured distance a number is from zero. </li></ul></ul><ul><ul><li>The absolute value of 7 is 7. </li></ul></ul><ul><ul><li>The absolute value of –9 is 9. </li></ul></ul><ul><ul><li>DISTANCE IS ALWAYS POSITIVE. </li></ul></ul><ul><li>Treat absolute value bars as grouping simples (or parentheses!). </li></ul><ul><ul><li>Simplify inside the bars using Order of Operations. </li></ul></ul>
  7. 7. Absolute Value Example Problems <ul><ul><li>|-3| </li></ul></ul><ul><ul><li>-|-3| </li></ul></ul><ul><ul><li>4 - |-2| </li></ul></ul><ul><ul><li>The opposite of the absolute value of negative seven. </li></ul></ul><ul><ul><li>The opposite of the opposite of the absolute value of positive 8. </li></ul></ul>
  8. 8. Assignment #2 <ul><li>Pages 15-16: 11-33 odd. Show steps. </li></ul><ul><li>Pages 19-20: 12-38 even. Show steps. </li></ul><ul><li>Extra Credit: Page 21: 56-59 all. Just answer, do not need to copy problem. </li></ul><ul><li>Remember! </li></ul><ul><li>Box answers. </li></ul><ul><li>Copy problems. </li></ul><ul><li>Show steps! </li></ul><ul><li>Due September 3 rd , 2009. </li></ul>

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