1-6 Subtracting Integers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

1-6 Subtracting Integers Warm Up Add. 1. – –6 + (–28) 2. –12 + (–9) (–87) (–19) 6. –18 + (–24) –5–34 17 –42 –21 13

1-6 Subtracting Integers Problem of the Day Copy and complete the magic square. The magic sum is 0. –3 0–2 +3– –5+8

1-6 Subtracting Integers Learn to subtract integers.

1-6 Subtracting Integers Subtracting a lesser number from a greater number is the same as finding how far apart the two numbers are on a number line. Subtracting an integer is the same as adding its opposite.

1-6 Subtracting Integers Additional Example 1: Subtracting Integers A. –7 – 4 –7 – 4 = –7 + (–4) ‏ B. 8 – (–5) ‏ 8 – (–5) = C. –6 – (–3) ‏ –6 – (–3) = –6 + 3 = –11 = 13 = –3 Add the opposite of 4. Add the opposite of –5. Add the opposite of –3. Same sign; use the sign of the integers. 6 > 3; use the sign of 6. Subtract.

1-6 Subtracting Integers Check It Out: Example 1 A. 3 – (–6) ‏ 3 – (–6) = B. –4 – 1 –4 – 1 = –4 + (–1) ‏ C. –7 – (–8) ‏ –7 – (–8) = –7 + 8 = 9 = –5 = 1 Add the opposite of –6. Add the opposite of 1. Add the opposite of –8. Same signs; use the sign of the integers. Same sign; use the sign of the integers. 8 > 7; use the sign of 8. Subtract.

1-6 Subtracting Integers 8 – j for j = –6 8 – j 8 – (–6) ‏ Substitute –6 for j. Evaluate the expression for the given value of the variable Add the opposite of –6. Same sign; use the sign of the integers. Additional Example 2A: Evaluating Expressions with Integers

1-6 Subtracting Integers –9 – y for y = –4 –9 + 4 –5 Evaluate the expression for the given value of the variable. –9 – y –9 – (–4) ‏ Substitute –4 for y. Add the opposite of –4. 9 > 4; use the sign of 9. Additional Example 2B: Evaluating Expressions with Integers

1-6 Subtracting Integers n – 6 for n = –2 n – 6 –2 – 6Substitute –2 for n. Evaluate each expression for the given value of the variable. –2 + (–6) ‏ –8 Add the opposite of 6. Same sign; use the sign of the integers. Additional Example 2C: Evaluating Expressions with Integers

1-6 Subtracting Integers 11 – m for m = –3 11 – m 11 – (–3) ‏ Substitute –3 for m. Evaluate the expression for the given value of the variable Add the opposite of –3. Same sign; use the sign of the integers. Check It Out: Example 2A

1-6 Subtracting Integers –5 – r for r = –2 –5 + 2 –3 Evaluate the expression for the given value of the variable. –5 – r –5 – (–2) ‏ Substitute –2 for r. Add the opposite of –2. 5 > 2; use the sign of 5. Check It Out: Example 2B

1-6 Subtracting Integers a – 7 for a = –9 a – 7 –9 – 7Substitute –9 for a. Evaluate each expression for the given value of the variable. –9 + (–7) ‏ –16 Add the opposite of 7. Same sign; use the sign of the integers. Check It Out: Example 2C

1-6 Subtracting Integers The top of the Sears Tower in Chicago, is 1454 feet above street level, while the lowest level is 43 feet below street level. How far is it from the lowest level to the top? Additional Example 3: Architecture Application 1454 – (–43) ‏ Subtract the lowest level from the height Add the opposite of (–43) Same sign; use the sign of the integers. It is 1497 feet from the lowest level to the top.

1-6 Subtracting Integers The distance from the high dive to the swimming pool is 10 feet. The pool is 12 feet deep. What is the total distance from the high dive to the bottom of the pool? Check It Out: Example 3 10 – (–12) ‏ Subtract the depth of the pool from the height of the high dive Add the opposite of (–12). 22 Same sign; use the sign of the integers. It is 22 feet from the diving board to the bottom of the pool.

1-6 Subtracting Integers Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

1-6 Subtracting Integers Lesson Quiz Subtract. 1. –6 – (–4) ‏ –2–692. –3 – – (–5) ‏ Evaluate each expression for the given value of the variable – s for s = – –4 – w + 5 for w = 21–20 6. Suretta is flying in an airplane and rises an additional 20 feet. Then she descends 190 feet toward the ground. How far below her original height did Suretta go? 170 feet

1-6 Subtracting Integers 1. Subtract –9 – (–8). A. –17 B. –1 C. 1 D. 17 Lesson Quiz for Student Response Systems

1-6 Subtracting Integers 2. Subtract –17 – 23. A. 40 B. 6 C. –6 D. –40 Lesson Quiz for Student Response Systems

1-6 Subtracting Integers 3. Subtract 24 – (–26). A. 50 B. 2 C. 0 D. –2 Lesson Quiz for Student Response Systems

1-6 Subtracting Integers 4. Evaluate the expression for the given value of the variable. 8 – r for r = –3 A. –5 B. 5 C. 11 D. 14 Lesson Quiz for Student Response Systems

1-6 Subtracting Integers 5. Evaluate the expression –2 – z + 8 for z = –15. A. 21 B. 9 C. –9 D. –21 Lesson Quiz for Student Response Systems