Question

if 10^2004 - 2013 is expressed as an integer, what is the sum of its digits ?

Answer 1

Given:

10^2004 - 2013 is expressed as an integer

To find:

The sum of the digits of the given number.

Solution:

1) Integers are the whole numbers only it can have negative, positive and zero as well.

2) The given expression

• $10^{2004}$-2013

• 1000.........000(2004) - 2013

• 999.......................7987 ( 9 occurs 1999 times)

3) The sum of the digits of the obtained number

• 9+9+9+9.................+7+9+8+7

• 9(1+2+3................+1999)+31

• 9×1998×1999/2+31

• 1999×999×9+31

• 1789240

The sum of the digits of the given number is 1789240