My Math Forum (http://mymathforum.com/math-forums.php)
-   Elementary Math (http://mymathforum.com/elementary-math/)
-   -   What does decimal form mean? (http://mymathforum.com/elementary-math/26803-what-does-decimal-form-mean.html)

 SlamDunk April 17th, 2012 11:20 AM

What does decimal form mean?

Can anyone explain to me what this means and it would really help if you could show an example of a integer using the decimal form stated below:

Suppose that the integer n is given in decimal form, $n= a_k10^k + a_{k-1}10^{k-1} + \cdots a_110 + a_0$ where $0 \le a_i \le 9$ for all i.

I guess I just don't understand the notation and seeing an example will really help.

 SlamDunk April 17th, 2012 11:22 AM

Re: What does decimal form mean?

Quote:
 Originally Posted by SlamDunk $n= a_k10^k + a_{k-1}10^{k-1} + \cdots + a_110 + a_0$
fixed typo. Can't figure out how to edit posts =].

 CRGreathouse April 17th, 2012 11:47 AM

Re: What does decimal form mean?

When you write "316", the "3" means 300, the "1" means 10, and the "6" means 6. This can be written 316 = 3*10^2 + 1*10^1 + 6*10^0.

 SlamDunk April 17th, 2012 02:38 PM

Re: What does decimal form mean?

That's what I thought it was talking about numbers in base 10 but do you have any idea why it is called decimal form? I thought decimals in base 10 would be :

$.23= 2\cdot 10^{-1} + 3 \cdot 10^{-2}$

 MarkFL April 17th, 2012 03:12 PM

Re: What does decimal form mean?

Decimal just refers to base 10 notation.

 suresh123 April 19th, 2012 03:07 AM

Re: What does decimal form mean?

Decimal notation refers to the base 10 notations.For eg:-

156=1*100+5*10+6=1*10^2+5*10^1+6*10^0

As you see the all numbers are multiplying to the 10 which have some power.This is decimal notation.

 All times are GMT -8. The time now is 11:55 AM.