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Subtracting Integers

Subtracting Integers. Addition Rules Review. When the signs are different, subtract the numbers and the answer is the sign of the bigger number. When the signs are the same, add the numbers and the answer is the same sign. Subtracting Integers. Add the opposite!!!.

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Subtracting Integers

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  1. Subtracting Integers

  2. Addition Rules Review When the signs are different, subtract the numbers and the answer is the sign of the bigger number When the signs are the same, add the numbers and the answer is the same sign.

  3. Subtracting Integers Add the opposite!!! Signs are the same, so we add -10

  4. Draw the picture! Step 1: Draw 3 negatives Step 2: We don’t have any positives to take away, so we add 7 positives and their opposites. - - - Step 3: Take away 7 positives. + + + + + + + - - - - - - - Answer: 10 negatives are left

  5. Subtracting Integers Add the opposite!!! Signs are the same, so we add 12

  6. Draw the picture! Step 1: Draw 8 positives Step 2: We can’t take away 4 negatives, so we add 4 negatives and their opposites. Step 3: Take away 4 negatives. + + + + + + + + Answer: 12 positives are left - - - - + + + +

  7. Subtracting Integers Add the opposite!!! Signs are different, so we subtract -3

  8. Draw the picture! Step 1: Draw 5 positives Step 2: We can only take away 5 positives so we add 3 more positives and the opposite, 3 negatives + + + + + Step 2: Now take away 8 positives. + + + Answer: 3 negatives are left - - -

  9. Subtracting Integers Add the opposite!!! Signs are different, so we subtract -6

  10. Draw the picture! Step 1: Draw 8 negatives Step 2: Take away 2 negatives Answer: 6 negatives are left - - - - - - - -

  11. Add the opposite!!! 7 Signs are different, so we subtract Draw the picture!

  12. Add the opposite!!! -4 Signs are different, so we subtract Draw the picture!

  13. Add the opposite!!! 19 Signs are the same, so we add Draw the picture!

  14. Subtracting Integers Don’t forget to add the opposite!!! 1. Becomes –8 + -14 1. -8 - 14 = -22 2. 14 - 25 2. Becomes 14 + -25 = -11 3. -6 - 4 3. Becomes –6 + -4 = -10 4. -12 - -18 4. Becomes –12 + 18 = 6 5. -22 - -4 5. Becomes –22 + 4 = -18 6. 9 - -12 6. Becomes 9 + 12 = 21

  15. 1) The entrance to a mine is 2,457 feet above sea level. The bottom of the mine is 5,642 feet below the entrance. What is the elevation of the bottom of the mine? A. -8,099 ft B. -3,185 ft C. 3,185 ft D. 8,099 ft

  16. 2) During the first seven plays of a football game, the team made the following yardage: +3, -8, +14, -4, +25, +7, and -10. What was the net yardage? F. -49 yd G. -22 yd H. 27 yd J. 49 yd

  17. 3) Which of the following expressions does NOT have the same value as the others? A. -30 – (-30) B. -72 + 12 C. -14 + (-46) D. -28 - 32

  18. 4) In 2000 a company’s sales were $52 million. In 2001, the sales changed by -$7 million. In 2002, the sales changed by +$3 million. What were the company’s sales in 2002? F. $42 million G. $48 million H. $56 million J. $62 million

  19. 5) The highest temperature ever recorded in the world is 136°F. The lowest temperature ever recorded in the world is -129°F. What is the difference between the highest recorded temperature and the lowest recorded temperature? A. -265°F B. -7°F C. 7°F D. 265°F

  20. 6) Several classmates were playing a game using a number line, moving a game piece to the right for positive numbers and to the left for negative numbers. Mel began at zero. After Mel made moves of +7, -12, and -1, what move did he need to make to end on zero? F. -6 G. -4 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 H. +4 J. +6

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