Number of Digits, No Need for Calculator.

Algebra Level 3

What is the number of digits of the following product?

11 × 11011 × 1111 × 1010 × 11100111 = ? 11\times 11011\times 1111 \times 1010 \times 11100111=?


The answer is 19.

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Hana Wehbi
Jun 17, 2018

We just add the number of ones in each number which is:

2 + 4 + 4 + 2 + 6 = 18 but the zero in 1010 is going to add one digit for us then the number of digits is 18 + 1 = 19 ⟹ the given product has 19 digits . 2+4+4+2+6= 18 \text { but the zero in 1010 is going to add one digit for us then the number of digits is } 18+1=19\implies \text{the given product has 19 digits}.

The product is:

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