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Multiplication of Integers

The product o...

Question

The product of $21$ negative integers is

A

positive

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B

negative

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C

$0$

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D

none of these

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Solution

The correct option is B
negative

Product of minus and minus is plus, also product of plus and minus is minus.
If negative integers appears odd number of times in a product, the final product is negative.
Hence, the product of $21$ negative integers is negative.

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Similar questions

Q. What will be the sign of the product if we multiply together
(i) 8 negative integers and 1 positive integer?
(ii) 21 negative integers and 3 positive integers?
(iii) 199 negative integers and 10 positive integers?

Q. Which of the following statements are true and which are fals?
(i) The product of a positive integer and a negative integer is negative.
(ii) The product of two negative integers is a negative integer.
(iii) The product of three negative integers is a negative integer.
(iv) Every integer when multiplied with −1 gives its multiplicative inverse.

Q. Which of the following statements are true and which are false?

(i) The product of a positive and a negative integer is negative.
(ii) The product of two negative integers is a negative integer.
(iii) The product of three negative integers is a negative integer.
(iv) Every integer when multiplied with −1 gives its multiplicative inverse.
(v) Multiplication on integers is commutative.
(vi) Multiplication on integers is associative.
(vii) Every nonzero integer has a multiplicative inverse as an integer.

Write true or false:

The product of $4$ negative integers is negative.

What will be the sign of the product if we multiply together

$21$ negative integers and $3$ positive integers?

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