NT practice 3

Number Theory Level 3

Let K = 36783468979453245 × 458935602358634 K=36783468979453245 \times 458935602358634 How many digits K K has? Don't use calculator.

32 31 36 33

Arifin Ikram by arifin ikram , 17, Bangladesh

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1 solution

Arifin Ikram
Oct 25, 2020

We can write , K = 3.6 ⋅ 1 0 16 ⋅ 4.5 ⋅ 1 0 14 , K= 3.6 \cdot 10^{16} \cdot 4.5 \cdot 10^ {14}

O r , K = 1.6 ⋅ 1 0 31 Or, K=1.6 \cdot 10^{31}

Thus K has 32 digits.

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