Question

Kelvin counted his sheep in base 5 numeral and he got and he got 3134 base 5 numeral.what is the actual number he counted.

Answer 1

In this case we have the folllowing number:

`3134_5`

This number is in base 5 and we can decompose it in the following way:

`\begin{gathered} 3134_5=(4\cdot5^0)+(3\cdot5^1)+(1\cdot5^2)+(3\cdot5^3) \\ 3134_5=(4\cdot1)+(3\cdot5)+(1\cdot25)+(3\cdot125) \\ 3134_5=4+15+25+375 \\ 3134_5=419 \end{gathered}`