A problem by Anika .

Level pending

What is the sum of the digits of the decimal form of the product 2 1999 × 5 2001 2^{1999} \times 5^{2001} ?

7 5 10 13

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Anika .
Apr 8, 2014

2^1999 X 5^2001 =
2^1999 X 5^1999 X 5^2

making it equal to 25 X 10^1999 , a number with the digits "25" followed by 1999 zeros. The sum of the digits in the decimal form would be 2+5=7 thus making the answer 7

Nice explanation, same method here.

Mardokay Mosazghi - 7 years, 1 month ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...