Ch.1, Sec 5&6: Adding Subtracting Integers

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Chapter 1, Section 5 and 6: Adding and Subtracting Integers.

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Ch.1, Sec 5&6: Adding Subtracting Integers

  1. 1. Chapter 1 Section 5: Adding Integers Section 6: Subtracting Integers By Ms. Dewey-Hoffman, 2009 http://msdhpowerpoints.blogspot.com/
  2. 2. Rules for Adding Integers <ul><li>Adding Integers with the Same Sign: </li></ul><ul><ul><li>The sum of two positive integers is positive. </li></ul></ul><ul><ul><li>The sum of two negative integers is negative. </li></ul></ul><ul><ul><ul><li>Example: -12 + (-31) = -43 </li></ul></ul></ul><ul><ul><ul><li>Example: 22 + 16 = 28 </li></ul></ul></ul><ul><li>Adding Integers with Different Signs: </li></ul><ul><ul><li>Find the difference (subtraction) of their absolute values . The answer has the sign of the integer with the greater absolute value. </li></ul></ul><ul><ul><ul><li>Example: -125 + 35 = </li></ul></ul></ul><ul><ul><ul><ul><ul><li>|-125| + |35| = </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>125 – 35 = 90 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>Biggest number is negative, so the answer is negative. -90 </li></ul></ul></ul></ul></ul>
  3. 3. <ul><li>Addition of Opposites  It’s a property! </li></ul><ul><ul><li>The sum of an integer and it’s opposite is zero. </li></ul></ul><ul><ul><ul><li>Example: 7 + -7 = 0 </li></ul></ul></ul><ul><li>Adding Integers </li></ul><ul><ul><li>Turn it into a word problem and say it out loud. </li></ul></ul><ul><ul><ul><li>Example: -1 + 4, You owe me 1 dollar, you have 4 to pay me back, how much do you have left over? 3. </li></ul></ul></ul><ul><ul><ul><li>Example: 7 + (-3), You have 7 dollars, you buy something for 3 dollars, how much do you have left? 4. </li></ul></ul></ul><ul><ul><li>You give up negative numbers and you keep positive numbers. </li></ul></ul><ul><ul><li>Example Problems : </li></ul></ul><ul><ul><ul><li>-2 + (-2) = </li></ul></ul></ul><ul><ul><ul><li>2 + (-6) = </li></ul></ul></ul><ul><ul><ul><li>-4 + 9 = </li></ul></ul></ul><ul><ul><ul><li>-5 + (-1) = </li></ul></ul></ul>Adding Integers
  4. 4. Adding Integers with Different Signs: Example Problems <ul><li>Remember: Find the difference of their absolute value. The sign of the number with the greatest absolute value gives the sign of the answer. </li></ul><ul><li>Also: Go left to right when all you’re doing is adding and subtracting! </li></ul><ul><li>1 + (-3) + 2 + (-10) = </li></ul><ul><li>-250 + 200 + (-100) + 220 = </li></ul><ul><li>The elevation of a monitor in Pinon Flat, California, is 1,696 meters higher than the monitor in Hockley, Texas (at -416 meters). Find the elevation of the monitor in Pinon Flat. </li></ul><ul><li>Write an expression. </li></ul><ul><li>Solve. </li></ul>
  5. 5. Subtracting Integers <ul><li>Add Its Opposite </li></ul><ul><ul><li>Turn the subtraction sign into addition and take the OPPOSITE of the second number. </li></ul></ul><ul><ul><li>Then treat the problem as an addition problem. (Difference of absolute value, etc). </li></ul></ul><ul><li>Example Problems: </li></ul><ul><ul><li>2 – 5 = </li></ul></ul><ul><ul><li>44 – 100 = </li></ul></ul><ul><ul><li>32 – (-3) = </li></ul></ul><ul><ul><li>-40 – 66 = </li></ul></ul><ul><ul><li>2 – 48 = </li></ul></ul><ul><ul><li>The lowest temperature ever recorded in Antarctica was -89°C. The lowest temperature ever recorded on the moon was about -170°C. What is the difference in the temperatures? </li></ul></ul>
  6. 6. Assignment #3 <ul><li>Pages 26-27: 21-32 all, 54-60 even. </li></ul><ul><li>Pages 31-32: 20-36 even, 57-61 all. </li></ul><ul><li>No extra credit today. </li></ul><ul><li>Remember to show work, set up your page correctly and box your answers! </li></ul><ul><li>Due September 4 th , 2009. </li></ul>

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