what will be the sign of the product if we multiply the following ? (a) 199 negative Integers and 20 positive integers. (b) 10 negative Integers and 1 positive integers.
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Answers
Answer:
A) Let us begin with finding the product of 199 negative integers. We know that when we multiply two negative integers, the product becomes positive. So if we multiply an even number of negative integers it gives a positive sign product.
Here we are multiplying an odd number of negative integers, so the overall product will be negative.
However, the product of any number of positive integers will always give a positive result. So multiplying 20 positive integers gives a positive product.
Multiplying the negative result with the positive result, the overall product is negative.
The product will have a (-) sign
B) Here multiplying 10 (even number) negative integers gives a positive product. Multiplying a positive integer with another positive integer always gives a positive product.
The product will have a (+) sign.
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