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Multiplication:
When more than \(2\) numbers are multiplied, depending upon the number of negative numbers involved, the sign of the answer varies.
We know that,
\((-1) × (1) = -1\)
\((-1) × (-1) = +1\)
Now,
\((-1) × (-2) × (-3) = -6\)
\((-1) × (-2) × (-3) × (-4) = +24\)
\((-1) × (-2) × (-3) × (-4) × (-5) = -120\)
Inference:
When \(2\) negative numbers are multiplied, the result will be a positive number.
When \(3\) negative numbers are multiplied, the result will be a negative number.
When \(4\) negative numbers are multiplied, the result will be a positive number.
Conclusion:
From the above, we can conclude that,
Number of negative integers in multiplication | Sign of the result |
Even | \(+\) |
Odd | \(-\) |
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