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EXAMPLE 1

EXAMPLE 1. Modeling Integer Subtraction. Find the difference 3 – 5 . EXAMPLE 1. Modeling Integer Subtraction. Find the difference 3 – 5 . When you add a positive integer, you move to the right . on a number line. When you subtract a positive integer, . you move to the left.

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EXAMPLE 1

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  1. EXAMPLE 1 Modeling Integer Subtraction • Find the difference 3 – 5.

  2. EXAMPLE 1 Modeling Integer Subtraction • Find the difference 3 – 5. When you add a positive integer, you move to the right on a number line. When you subtract a positive integer, you move to the left. To find3 – 5, move right 3 units then left5units.

  3. EXAMPLE 1 Modeling Integer Subtraction • Find the difference 3 – 5. When you add a positive integer, you move to the right on a number line. When you subtract a positive integer, you move to the left. To find3 – 5, move right 3 units then left5units. ANSWER The final position is – 2. So, 3 – 5 = – 2.

  4. EXAMPLE 1 Modeling Integer Subtraction • Find the difference 2 – ( – 4 ).

  5. EXAMPLE 1 Modeling Integer Subtraction • Find the difference 2 – ( – 4 ). When you add a negative integer, you move to the left on a number line. So to subtract a negative integer, you move to the right. To find2 – ( – 4 ), move right 2 units then right4units.

  6. EXAMPLE 1 Modeling Integer Subtraction • Find the difference 2 – ( – 4 ). When you add a negative integer, you move to the left on a number line. So to subtract a negative integer, you move to the right. To find2 – ( – 4 ), move right 2 units then right4units. ANSWER The final position is 6. So, 2 – ( – 4 ) = 6.

  7. EXAMPLE 2 Subtracting Integers Find the difference. – 2 – ( – 9 ) = – 2 + 9 To subtract –9, add its opposite. = 7 Find |9 | –|–2| . Use the sign of 9. – 5 – 7 = – 5 + ( – 7 ) To subtract 7, add its opposite. = 12 Find | – 5 | + | – 7 |. Use the common sign.

  8. EXAMPLE 3 Using Integers to Solve Problems Mauna Loa The base of the Hawaiian volcano Mauna Loa is about 13,000 meters below sea level. Its summit is 4170 meters above sea level. Find the difference between the elevations of Mauna Loa’s summit and its base.

  9. EXAMPLE 3 Using Integers to Solve Problems SOLUTION STEP 1 Use integers to represent the two elevations. summit: 4170 meters base: –13,000 meters STEP 2 Subtract the lesser elevation from the greater elevation. To subtract –13,000, 4170 – ( – 13,000 ) = 4170 + 13,000 add its opposite. = 17,170 ANSWER The difference between the elevations is 17,170 meters.

  10. for Examples 1, 2, and 3 GUIDED PRACTICE Find the difference using a number line. • 4 – 6 ANSWER –2 • 7 – 10 ANSWER –3 • 3 – ( – 4 ) ANSWER 7 • 0 – ( – 4 ) ANSWER 4

  11. for Examples 1, 2, and 3 GUIDED PRACTICE Find the difference. • 3 – 7 ANSWER –4 • – 5 – 6 ANSWER –11 • 4 – ( – 8 ) ANSWER 12 • – 2 – ( – 9 ) ANSWER 7

  12. for Examples 1, 2, and 3 GUIDED PRACTICE Find the difference. • 6 – 10 ANSWER –4 • – 4 – 9 ANSWER –13 • 5 – ( – 5 ) ANSWER 10 • – 3 – ( – 1 ) ANSWER –2

  13. for Examples 1, 2, and 3 GUIDED PRACTICE Aoba 13. The base of the volcano Aoba on Vanuatu in the South Pacific is about 3000 meters below sea level. Its summit is 1496 meters above sea level. Find the difference between the elevations of Aoba’s summit and its base.

  14. for Examples 1, 2, and 3 GUIDED PRACTICE Aoba 13. The base of the volcano Aoba on Vanuatu in the South Pacific is about 3000 meters below sea level. Its summit is 1496 meters above sea level. Find the difference between the elevations of Aoba’s summit and its base. ANSWER 4496 m

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