Question

Find the value of 1415×211 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same, so the difficulty is the same same excepting the ability to perform the calculation in your head.

Answer 1

298565

Explanation:

Given problem,

1415 × 211

∵ Direct multiplication is quite tough so we can split the number into smaller one for making the multiplication easier,

= (1400 + 15) × (210 + 1)

By using distributive property,

= 1400 × (210 + 1) + 15(210 + 1)

Again by distributive property,

= 1400 × 210 + 1400 + 15 × 210 + 15

Simplifying,

= 294000 + 1400 + 3150 + 15

= 298565

Hence, 1415 × 211 = 298565