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Chapter 2 Integers 2-8 Dividing Signed Integers Procedure The procedure for dividing signed integers is basically identical to the procedure for multiplying them: - Step 1: Divide the absolute value of the terms.
- Step 2: Give the appropriate sign to the quotient.
- Positive if the terms both have the same sign.
- Negative if the terms have opposite signs.
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Figure 2-x. Terminology for the division of signed integers.
| There is no difference between the way you should handle the signs for multiplication and division--positive result for same signs, negative result for opposite signs. |
Dividing signed integers.
| Example (+ 14) � (+ 2) = ? | The Problem | | (+ 14) � (+ 2) = ? | Step 1: Divide the absolute value of the terms. | |+14| � |+2| = 7 | | Step 2: Assign the appropriate to the quotient. | Both terms are positive, so the result is positive, +7 | | | The Solution | | (+ 14) � (+ 2) = (+ 7) Or more simply as: 14 � 2 = 7 | Example (+ 24) � (– 8) = ? | The Problem | | (+ 24) � (– 8) = ? | Step 1: Divide the absolute value of the terms. | |+24| � |– 8| = 3 | | Step 2: Assign the appropriate sign to the quotient | The terms have opposite signs, so the result is negative, – 3 | | | The Solution | | (+ 24) � (– 8) = (– 3) Or more simply as: 24 � – 8 = – 3 | Exercises Complete the division operations.
Click the ? symbol to see the correct answers. | 1. (+ 6) � (+ 2) = ? | 2. (– 9) � (– 3) = ? | | 3. (+ 18) � (– 9) = ? | 4. (– 6) � (+ 2) = ? | | 5. (– 30) � (+ 5)= ? | 6. (+ 16) � (– 4) = ? | | 7. (– 21) � (– 7) = ? | 8. (+ 24) � (+ 12) = ? |
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