| 2-9 Combining Integer Multiplication and Division Most of the examples and exercises in these lessons deal with only two terms at a time. However, you don't have to advance much further in your study of mathmatics until you encounter situation where you must multiply and dividet strings of three or more signed integers. For instance: (+ 4) x (+ 5) x (+ 12) x (+ 6) = ? (+ 12) x (– 10) � (– 8) = ? (+ 72) � (+ 16) x (– 2) = ? (+ 17) x (+ 24) � (– 1) x (+ 6) = ? Performing Combinations of Multiplication and Division Important When multiplying and dividing groups of three or more integers, always perform the operations from left to right. | Example | The Problem: (+ 12) x (+ 2) � (– 8) = ? The Procedure: Multiply or divide the terms: - Two at a time
- From left to right
- (+ 12) x (+ 2) � (– 8) = (+ 24) � (–- 8)
- (+ 24) � (– 8) = (– 3)
The Solution: (+ 12) x (+ 2) � (– 8) = (– 3) or – 3 | Example | The Problem: (+ 16) � (– 8) x (– 6) = ? The Procedure: Multiply or divide the terms: - Two at a time
- From left to right
- (+ 16) � (– 8) x (– 6) = (– 2) x (– 6)
- (–2) x (–6) = (+12)
The Solution: (+ 16) � (– 8) x (– 6) = (+ 12) or 12 | Exercises Complete the following addition and subtraction problems.
Click the ? symbol to see the correct answer. | 1. 2 x 4 x (– 1) = ? | 2. – 4 x 2 x (– 6) = ? | | 3. 8 � 6 � 4 � – 2= ? | 4. ( 4 ) ( 5 )(– 2)( 2 ) = ? | | 5. 2 x 6 � 3 = ? | 6. 2 x 4 � (– 1) = ? | | 7. 64 � ( 16 ) x ( 6 ) = ? | 8. 4 � ( 2 )( 12 ) � – 8 = ? |
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