I Need help understanding base-10 number format please

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The discussion centers on the representation of the number 9312 in base-10 format, specifically how to interpret the term 10^2. Participants clarify that 10^2 equals 100, not 2 or 1000, and express that logarithms are unnecessary for this calculation. The conversation emphasizes that 9312 can be broken down into its components: 9*1000 + 3*100 + 1*10 + 2. The importance of clear mathematical expression is highlighted to avoid confusion. Understanding base-10 representation does not require logarithmic functions.
andrecoelho
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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
 
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Hi, @andrecoelho, first of all, wellcome.
andrecoelho said:
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?
andrecoelho said:
Number can be represented by
9*10^3 + 3*10^2 + 1*10 + 2
Fine
andrecoelho said:
how do i get the 10^2 ?
From my point of view, it is ten powered to two. I see no mathematical difficulty.
andrecoelho said:
(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!
 
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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##
 
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