Proposition: Multiplying Negative and Positive Rational Numbers
The multiplication of negative and positive rational numbers follows the following rules:
- A positive rational number times a positive rational number gives a positive rational number, symbolically
\[( + )\cdot ( + )=( + )\]
- A negative rational number times a positive rational number gives a negative rational number.
\[( - )\cdot ( + )=( - )\]
- A negative rational number times a negative rational number gives a positive rational number.
\[( - )\cdot ( - )=( + )\]
- Zero times any rational number gives zero.
\[( 0 )\cdot ( \pm )=( 0 )\]
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References
Bibliography
- Piotrowski, Andreas: Own Research, 2014