Adding and Subtracting Integers

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Presentation transcript:

Adding and Subtracting Integers

<---|---|---|---|---|---|---|---|---|---> Graph the following set of Integers… { 3, 0, -2 } <---|---|---|---|---|---|---|---|---|---> 5 -3 -2 -1 1 2 3 4 2. Name the set of integers graphed. <---|---|---|---|---|---|---|---|---|---> -3 -2 -1 1 2 3 4 5 { -3, -1, 2, 5 }

State the rule for adding integers If the signs in front of the numbers are the same, add the numbers and keep the signs. If the signs in front of the numbers are different, subtract the numbers and keep the sign of the larger number.

READ THIS AS NEGATIVE 2 AND NEGATIVE 17 FIRST FIX YOUR DOUBLE SIGNS 3. 20 + (-5) 20 – 5 WHAT’S THE RULE? DO I ADD OR SUBTRACT? 15 FIRST FIX YOUR DOUBLE SIGNS 4. (-2) + (-17) -2 – 17 READ THIS AS NEGATIVE 2 AND NEGATIVE 17 WHAT’S THE RULE? DO I ADD OR SUBTRACT? -19

- 4 5. (-7) + 5 + (-2) -7 + 5 - 2 - 2 - 2 FIRST FIX YOUR DOUBLE SIGNS 5. (-7) + 5 + (-2) READ THIS AS NEGATIVE 7 AND POSITIVE 5 -7 + 5 - 2 - 2 - 2 WHAT’S THE RULE? DO I ADD OR SUBTRACT? READ THIS AS NEGATIVE 2 AND NEGATIVE 2 - 4 WHAT’S THE RULE? DO I ADD OR SUBTRACT?

Subtracting Integers What’s the rule???? Change the subtraction sign to a plus sign, then change the sign of the number after it. Remember this? Keep-Change-Change OR you can just “fix” your double signs and follow the adding rules!!!!

2 -5 6. -9 – (-11) -9 + 11 7. 6 – 11 FIRST FIX YOUR DOUBLE SIGNS 6. -9 – (-11) READ THIS AS NEGATIVE 9 AND POSITIVE 11 -9 + 11 2 WHAT’S THE RULE? DO I ADD OR SUBTRACT? NO DOUBLE SIGNS THIS TIME 7. 6 – 11 READ THIS AS POSITIVE 6 AND NEGATIVE 11 -5 WHAT’S THE RULE? DO I ADD OR SUBTRACT?

READ THIS AS NEGATIVE 34 AND NEGATIVE 20 8. -34 – 20 -54 WHAT’S THE RULE? DO I ADD OR SUBTRACT?

9. The temperature in Cleveland, Ohio was -20 C at 6 am 9. The temperature in Cleveland, Ohio was -20 C at 6 am. By noon that day the temperature had risen 19 C. By 6pm, the temperature had fallen 13 C. What was the temperature at 6pm? -20 +19 -13 -1 -13 -14

10. Nicole has $151 in her checking account 10. Nicole has $151 in her checking account. She writes a check for $117, makes a deposit of $49, then writes a check for $81. find the amount left in her account. + 151 - 117 + 49 - 81 34 + 49 - 81 83 - 81 2

a) Find the difference in the two elevations. 11. The highest location in a certain foreign country is 15,586 feet above sea level. The lowest point in the same country is 239 feet below sea level. REMEMBER FIX YOUR DOUBLE SIGNS a) Find the difference in the two elevations. + 15,586 - 239 b) A city is at 6,886 feet above sea level. Is this closer to the highest point or the lowest point? 15,586 + 239 15,825 15,586 - 6,886 6,886 - -239 7,125 8,700

a) Find the difference in the two elevations. 12. The highest location in a certain foreign country is 15,802 feet above sea level. The lowest point in the same country is 227 feet below sea level. REMEMBER FIX YOUR DOUBLE SIGNS a) Find the difference in the two elevations. + 15,802 - 227 b) A city is at 9,161 feet above sea level. Is this closer to the highest point or the lowest point? 15,802 + 227 16,029 15,802 - 9,161 9,161 - -227 9,388 6,641