Undergrad Need help understanding base-10 number format please

[andrecoelho]

Hey..suppose i have the 9312 number. And 3 digit. Number can be represented by
9*10^3 + 3*10^2 + 1*10 + 2

how do i get the 10^2 ? (either 2 or 1000) ? do we need logarithms?

thanks

andre

 

[mcastillo356]

Hi, @andrecoelho, first of all, wellcome.

Hey..suppose i have the 9312 number. And 3 digit.

They first sentence stands for four digits. What do you mean when you mention three digits?

Number can be represented by
9*10^3 + 3*10^2 + 1*10 + 2

Fine

how do i get the 10^2 ?

From my point of view, it is ten powered to two. I see no mathematical difficulty.

(either 2 or 1000) ? do we need logarithms?

My opinion is that it is either $100$ or $10^2$. Why should we need logarithms?. Logarithms are the opposite function to exponentiation.
Which is the question you want to solve?
Greetings!

 

[jedishrfu]

Not sure what you’re asking but perhaps by rewriting what you wrote will clarify what you want?

9312 is short for $9*1000 + 3*100 + 1*10 + 2$

we can use various math expressions to get the units value

$9312 - INT( 9312 / 10 )*10 = 9312 - INT( 931.2 )*10 = 9312 - 9310 = 2$