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,

Question

3 years ago

10

so the difficulty is the same same excepting the ability to perform the calculation in your head.

1 answer:

BabaBlast [244] · Answer 1 · 2022-02-03T20:52:26+03:00

Answer:

298565

Step-by-step 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