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1 As you can see from the number lines below, the expression 5 – 4 and 5 + (–4) have the same value, 1. These equivalent expressions suggest the following.

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Presentation on theme: "1 As you can see from the number lines below, the expression 5 – 4 and 5 + (–4) have the same value, 1. These equivalent expressions suggest the following."— Presentation transcript:

1 1 As you can see from the number lines below, the expression 5 – 4 and 5 + (–4) have the same value, 1. These equivalent expressions suggest the following rule for subtracting integers. 5 – 4 5 + (–4) 4012365–14012365 Subtracting Integers 1.6 LESSON

2 2 Subtracting Integers WordsTo subtract an integer, add its opposite. Numbers 3 – 7 = 3 + (–7) = –4 Algebra a – b = a + (–b) Subtracting Integers 1.6 LESSON

3 3 Subtracting Integers EXAMPLE 1 4 – 10 = To subtract 10, add its opposite, –10. = –6 4 + (–10) Add 4 and –10. Subtracting Integers 1.6 LESSON

4 4 Subtracting Integers EXAMPLE 1 7 – (–5) = To subtract –5, add its opposite, 5. = 12 7 + 5 Add 7 and 5. 4 – 10 = To subtract 10, add its opposite, –10. = –6 4 + (–10) Add 4 and –10. Subtracting Integers 1.6 LESSON

5 5 Subtracting Integers EXAMPLE 1 7 – (–5) = To subtract –5, add its opposite, 5. = 12 7 + 5 Add 7 and 5. 4 – 10 = To subtract 10, add its opposite, –10. = –6 4 + (–10) Add 4 and –10. –2 – (–9) = To subtract –9, add its opposite, 9. = 7 –2 + 9 Add –2 and 9. Subtracting Integers 1.6 LESSON

6 6 Evaluating Variable Expressions EXAMPLE 2 x – (–40) To subtract –40, add 40. = 31 = –9 + 40 Add –9 and 40. Evaluate the expression when x = –9. x – (–40) = Substitute –9 for x. –9 – (–40) SOLUTION Subtracting Integers 1.6 LESSON

7 7 Evaluating Variable Expressions EXAMPLE 2 7 – x To subtract –9, add 9. = 16 = 7 + 9 Add 7 and 9. Evaluate the expression when x = –9. 7 – x = Substitute –9 for x. 7 – (–9) SOLUTION Subtracting Integers 1.6 LESSON

8 8 Evaluating Change You can use subtraction to find the change in a variable quantity such as elevation or temperature. Subtract the original value of the quantity from the value after the change. Subtracting Integers 1.6 LESSON

9 9 Evaluating Change EXAMPLE 3 By how many meters did the elevation of the volcano Kick-’em-Jenny change if the elevation in 1962 was –235 meters and –182 meters in 2002 ? To answer this question, you can subtract the elevation in 1962 from the elevation in 2002. Write a verbal model. ANSWER Change in elevation = Elevation in 2002 – Elevation in 1962 The difference is 53, so the summit elevation of Kick-’em-Jenny increased by 53 meters from 1962 to 2002. To subtract –235, add 235. = 53 = –182 + 235 Add –182 and 235. Substitute values. = –182 – (–235) Subtracting Integers 1.6 LESSON

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