Question

My techer said this would probably be hard for me to answer so i want to prove her wrong i tried putting this into a calculator but it would not work 10(10100) x 27

Answer 1

2727000

Explanation:

You can calculate it orally.

If numbers are multiplied with 10 we get the same answer as the number but with a zero added at the end . For example 27*10= 270

But if we divide the number ending with a zero with a ten the answer is the same but the zero is removed e.g 1000/10= 100

Similarly you have the numbers

10(10100)*27=

Now breaking the bracket part

10 (1010) 10 *27

100 ( 101)10 *27

1000(2727)

=2727000