Essential Understanding Rules for dividing real numbers are related to the rules for multiplying real numbers.
For any real numbers a, b, and c where
Words | The quotient of two real numbers with different signs is negative. | ||
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Words | The quotient of two real numbers with the same sign is positive. | ||
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Division Involving 0
Words | The quotient of 0 and any nonzero real number is 0. The quotient of any real number and 0 is undefined. | ||
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Sky Diving A sky diver's elevation changes by
How is dividing similar to multiplying?
You find the sign of a quotient using the signs of the numbers you're dividing, just as you find the sign of a product using the signs of the factors.
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The numbers have different signs, so the quotient is negative. |
The sky diver's average change in elevation is
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The Inverse Property of Multiplication describes the relationship between a number and its multiplicative inverse.
Words | For every nonzero real number a, there is a multiplicative inverse
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Examples | The multiplicative inverse of
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