Question

What is the sign of the product of 21 negative integers & 5 positive integers?

Answer 1

Answer:

since the number of negative integer is odd therefore the sign of the product will be negative.

Answer 2

The sign of the product of 21 negative integers & 5 positive integers  is (-)negative.

Step-by-step explanation:

Given:

21 negative integers.

5 positive integers.

To Find:

The sign of the product of 21 negative integers & 5 positive integers.

Solution:

As given, 21 negative integers.

Multiplication of 21 negative integers will be  (-)Negative integer.

For  21 integer $[(-1)\times (-1)\times(-1)----- \times (-1) ]=(-1)$.

Multiplication of 3 negative integers will be  (+) Positive integer.

For 5 Positive integer $[(+1) \times(+1)----(+1)] = (+1)$.

Let the products of 21 negative integers is (-p) and product of 5 positive integers is (q).

Then the product of 21 negative integers & 5 positive integers$=(-p)(q)$

                                                                                                        $=-(pq)$.

Thus,the sign of the product of 21 negative integers & 5 positive integers  is (-)negative.

#SPJ2