Question

what will be the sign of the product if we multiply the following ? (a) 199 negative Integers and 20 positive integers.​

Answer 1

Answer:

We'll get POSITIVE INTEGER.

Step-by-step explanation:

We know that.

(-)×(-) = +

(-)×(+) = -

Now,

* (20 POSITIVE INTEGERS) × (20 NEGATIVE INTEGERS) = NEGATIVE INTEGER ...(i)

Left NEGATIVE INTEGERS = 199-20 = 179

* 179 NEGATIVE INTEGERS = (89 NEGATIVE ×89 NEGATIVE) × 1 NEGATIVE

= POSITIVE × NEGATIVE

= NEGATIVE ....(i)

(i) & (ii),

NEGATIVE × NEGATIVE = POSITIVE