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Number Sense (NS2.3) - Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations.

Also covered: AF1.2

Objective: You will learn how to subtract integers.

If the number being subtracted is less than the number it is being subtracted from, the answer will be positive. If the number being subtracted is greater, the answer will be negative.

You can also subtract an integer by adding its opposite. You can then use the rules for addition of integers.

Example 7: Subtracting Integers by Adding the Opposite can then use the rules for addition of integers.

Find each difference.

A. 5 – (–2)

B. –3 – 7

C. – 1 – (–8)

Check It Out! can then use the rules for addition of integers. Example 8

Find each difference.

A. 4 – 2

B. –2 – (–6)

C. –1 – 4

Example 9: Evaluating Expressions with Integers can then use the rules for addition of integers.

Evaluate x – y for each set of values.

A. x = –3 and y = 2

B. x = 4 and y = –6

Check It Out! can then use the rules for addition of integers. Example 10

Evaluate x – y for each set of values.

A. x = –4 and y = –3

B. x = –4 and y = 5

Example 11: can then use the rules for addition of integers.Temperature Application

Find the difference between 32°F and –10°F.

The difference in temperature is 42°F.

Check It Out! can then use the rules for addition of integers. Example 12

Find the difference between 8°F and –5°F.

The difference in temperature is 13°F.

Lesson Quiz can then use the rules for addition of integers.

Use a number line to find the difference.

1. 3 – 9

Find each difference.

2. –7 – 4 3. –3 – (–5)

4. Evaluate x – y + z for x = –4, y = 5, and z = –10.

–6

–11

2

–19

5. On January 1, 2002, the high temperature was 81F in Kona, Hawaii. The low temperature was –29F in Barrow, Alaska. What was the difference between the two temperatures?

110F

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