Subtracting Integers Sec 2.3 pg. 95 - 97.

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Presentation transcript:

Subtracting Integers Sec 2.3 pg. 95 - 97

Subtracting Integers Let’s look at the following problem. 5 – 8 When you subtract 8, it is the same as adding its opposite, - 8. So, 5 – 8 is the same as 5 + (-8). |5| = 5 and |- 8| = 8. Since the signs are not the same, you find the difference between the absolute value. 8 – 5 = 3. Is the answer positive or negative? Negative. The absolute value of – 8 is larger so we use its sign. 5 – 8 = - 3

Subtracting Integers To subtract an integer, you add its opposite. Subtract positive integers. 5 – 9 This becomes 5 + (- 9) |5| = 5 and |-9| = 9. Find the difference. 9 – 5 = 4 The absolute value of – 9 was larger, so we take its sign. 5 – 9 = - 4.

Subtracting Integers Subtract negative integers. 10 – (-4) This become 10 + 4. You add the opposite of a – 4. 10 + 4 = 14 -9 – (- 2) - 9 + 2. The |-9| = 9 and |2| = 2, so 9 – 2 = 7. This becomes -7 since the absolute value of -9 is larger and we take its sign. - 9 – ( - 2) = - 7

Evaluate expressions Evaluate the expression if a = -5 and b = 9 b – a This becomes 9 – ( - 5) To subtract integers you add the opposite, so 9 + 5 14