Question

can you tell me which property i should use​

Answer 1

EXPLANATION.

Products using suitable identities.

As we know that,

(1) = 738 x 103.

We can write 103 = 100 + 3.

⇒ 738 x (100 + 3).

⇒ 738 x 100 + 738 x 3.

⇒ 73800 + 2214.

⇒ 76014.

We can also write 738 = 800 - 62.

⇒ (800 - 62) x 103.

⇒ 800 x 103 - 62 x 103.

⇒ 82400 - 6386.

⇒ 76014.

(2) = 854 x 102.

We can write 102 = 100 + 2.

⇒ 854 x (100 + 2).

⇒ 854 x 100 + 854 x 2.

⇒ 85400 + 1708.

⇒ 87108.

We can write 854 = 900 - 46.

⇒ (900 - 46) x 102.

⇒ 900 x 102 - 46 x 102.

⇒ 91800 - 4692.

⇒ 87108.