1
Question
Eighteen integers are multiplied together. What will be the sign of their product, if:
(iv)All are negative?
(iv)All are negative?
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Solution
The product of an odd number of negative integers is always negative.
The product of an even number of negative integers is always positive.
Here we have 18 integers that are multiplied together and all are negative integers.
Since the number of negative integers is even (18), their product would always be a positive integer.
∴ By multiplying 18 negative integers, the sign of their product will be positive.
The product of an even number of negative integers is always positive.
Here we have 18 integers that are multiplied together and all are negative integers.
Since the number of negative integers is even (18), their product would always be a positive integer.
∴ By multiplying 18 negative integers, the sign of their product will be positive.
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