Question

Q4. Solve the following using distributive property.
(a) 1054 x 138-1054 x 38 (b) 27 x 765 + 73 x 765

Answer 1

a) 1054(138-38)
= 1054 × 100 = 105400
b)765(27+73)
= 765 × 100
=76500

Answer 2

Answer:

a) $1054 \times 138-1054 \times 38=105400$

b) $27 \times 765 + 73 \times 765=76500$

Step-by-step explanation:

Given : (a)$1054 \times 138-1054 \times 38$

(b) $27 \times 765 + 73 \times 765$

To Solve : Using distributive property

Solution :

Distributive property says that:

$a(b*c)=ab*bc$

(a) $1054 \times 138-1054 \times 38$

Applying Distributive property,

a=1054 , b=138 , c= 38

$1054 \times 138-1054 \times 38$

$=1054(138-38)$

$=1054(100)$

$=105400$

Therefore, $1054 \times 138-1054 \times 38=105400$

(b) $27 \times 765 + 73 \times 765$

Applying Distributive property,

a=765 , b=27 , c= 73

$27 \times 765 + 73 \times 765$

$=765(27+73)$

$=765(100)$

$=76500$

Therefore, $27 \times 765 + 73 \times 765=76500$