Question

Simplyfy using suitable properties (-1905)× (-2)+ (1905)×(- 98)

Answer 1

Answer:

(-1905)[(-2)+98]

=(-1905)×(96)

=(-1905)×(100-4)

=(-1905×100)+(1905×4)

=-190500+7620

=-182880

I hope it will help you.

Answer 2

Answer:

(-1905)× (-2)+ (1905)×(- 98) = -182880

Step-by-step explanation:

Distributive Property of Multiplication Over Addition

The distributive property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

a(b + c) = ab + ac.

we get the same product on both sides of the equation even when we multiply 'a' with the sum of 'b' and 'c' on the left-hand side, or, when we distribute 'a' to 'b' and then to 'c' on the right-hand-side.

-1905(-2+98) = (-1905)× (-2)+ (1905)×(- 98)

consider R.H.S,

(-1905)× (-2)+ (1905)×(- 98)

= 3810 -186690

= -182880

therefore (-1905)× (-2)+ (1905)×(- 98) = -182880

Consider L.H.S

-1905(-2+98)

= -1905(96)

= -182880

-1905(-2+98) = -182880

Here L.H.S = R.H.S.

-1905(-2+98) = (-1905)× (-2)+ (1905)×(- 98)