signed - Signed Number Arithmetic Success in performing...

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Signed Number Arithmetic Success in performing operations on real numbers, both positive and negative signed numbers, depends on the ability to use the rules for signed number arithmetic and at the same time visualize the operations using the real number line. The rules differ for each operation and must be committed to memory. Adherence to the rules will guarantee correct results. The Rules Multiplication Multiplication of signed numbers can be accomplished for as little as two numbers and up. The numbers are multiplied together, as if they were all positive in their sign, and then the number of negative signs will determine the sign of the final result. Step 1: Disregard the signs for the moment and multiply the real numbers together and obtain a numeric answer. Step 2: Count up the number of negative (-) signs in the original problem; If the number of negatives is an even number then your answer is positive. If the number of negatives was an odd number then your answer is negative. Example ? 2 1 ? 3 5 ± = 30. You see that the problem had 2 (even) negative signs; therefore the final answer is positive ( + ). Example ? 1 4 ? 3 ± ? 1 2 = ? 6. You count 3 (odd) negative signs; therefore the final answer is negative (-). Division Division is approached the same way as multiplication. Step 1: Disregard the signs for the moment and do the division of the real numbers and obtain a numeric answer. Step 2: Count up the number of negative (-) signs in the original problem; If the number of negatives was an even number then your answer is positive. If the number of negatives was an odd number then your answer is negative. Example ? 2 3 ? 4 ± ? 2 ? 3 ± = 4. This fraction had 4 (even) negative signs; therefore the final answer is positive ( + ). Example ? 4 5 3 8 ? 10 3 ? 48
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This note was uploaded on 04/20/2011 for the course MATH 101 taught by Professor Ihcsol during the Spring '08 term at Capital University.

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signed - Signed Number Arithmetic Success in performing...

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