Question

1. Give an example and verify Distributive property of
multiplication over addition is true for rational numbers. That is, a(b+c) = ab+ac​

Answer 1

Answer:

Distributive property of multiplication over addition for rational numbers

The distributive property of multiplication is:

Over addition: a(b + c) = ab + ac

-3/4 {2/3 + (-5/6)} = -3/4 {(4+(-5))/6} = (-3/4) x (-1/6) = 3/24 = 1/8

-3/4 {2/3 + (-5/6)} = -3/4 x 2/3 + (-3/4) x (-5/6) = -1/2 + 5/8 = (-4+5)/8 = 1/8

its the answer...

Answer 2

let us take simple numbers
a=3,b=2,c=5
now the equation to be proved is a(b+c)=ab+ac
3(2+5)=3*2+3*5
3*7=6+15
21=21
hence proved