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1-5 Subtracting Integers Warm Up Add. 1. –7 + 2 –5 4. –6 + (–28) 2. –12 + (–9) –21 5. 104 + (–87) 3. 32 + (–19) Course 3 13 6. –18 + (–24) –34 17 –42 1-5 Subtracting Integers Problem of the Day Copy and complete the magic square. The magic sum is 0. Course 3 5 –8 3 –2 0 2 –3 8 –5 1-5 Subtracting Integers TB P. 22-25 Learn to subtract integers. Course 3 1-5 Subtracting Insert Lesson Title Here Integers Subtracting a smaller number from a larger 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. SMATO- Subtract Means Add The Opposite! SUBTRACTING INTEGERS Words Change the subtraction sign to an addition sign and change the sign of the second number. Course 3 Numbers Algebra 2 – 3 = 2 + (–3) 4 – (–5) = 4 + 5 a – b = a + (–b) a – (–b) = a + b 1-5 Subtracting Integers Additional Example 1: Subtracting Integers Subtract. A. –7 – 4 –7 – 4 = –7 + (–4) Add the opposite of 4. = –11 Same sign; use the sign of the integers. B. 8 – (–5) 8 – (–5) = 8 + 5 Add the opposite of –5. = 13 Same sign; use the sign of the integers. C. –6 – (–3) –6 – (–3) = –6 + 3 Add the opposite of –3. = –3 6 > 3; use the sign of 6. Course 3 1-5 Subtracting Integers Check It Out: Example 1 Subtract. A. 3 – (–6) 3 – (–6) = 3 + 6 =9 Add the opposite of –6. Same signs; use the sign of the integers. B. –4 – 1 –4 – 1 = –4 + (–1) Add the opposite of 1. = –5 Same sign; use the sign of the integers. C. –7 – (–8) –7 – (–8) = –7 + 8 Add the opposite of –8. =1 8 > 7; use the sign of 8. Course 3 1-5 Subtracting Integers Additional Example 2A: Evaluating Expressions with Integers Evaluate the expression for the given value of the variable. 8 – j for j = –6 8–j 8 – (–6) Substitute –6 for j. =8+6 Add the opposite of –6. = 14 Same sign; use the sign of the integers. Course 3 1-5 Subtracting Integers Additional Example 2B: Evaluating Expressions with Integers Evaluate the expression for the given value of the variable. –9 – y for y = –4 –9 – y –9 – (–4) Substitute –4 for y. = –9 + 4 Add the opposite of –4. = –5 9 > 4; use the sign of 9. Course 3 1-5 Subtracting Integers Additional Example 2C: Evaluating Expressions with Integers Evaluate each expression for the given value of the variable. n – 6 for n = –2 n–6 –2 – 6 = –2 + (–6) = –8 Course 3 Substitute –2 for n. Add the opposite of 6. Same sign; use the sign of the integers. 1-5 Subtracting Integers Additional Example 3: Architecture Application 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? 1454 – (–43) 1454 + 43 = 1497 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. Course 3 1-5 Subtracting Integers Insert Lesson Title Here Lesson Quiz: Part I Subtract. 1. –6 – (–4) -2 2. –3 – 3 –6 3. 4 – (–5) 9 Evaluate each expression for the given value of the variable. 4. 9 – s for s = –5 5. –4 – w + 5 for w = 21 Course 3 14 –20 1-5 Subtracting Integers Insert Lesson Title Here Lesson Quiz: Part II 6. Suzie 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 Course 3