My Math Forum What does decimal form mean?

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 April 17th, 2012, 11:20 AM #1 Newbie   Joined: Apr 2012 Posts: 17 Thanks: 0 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.
April 17th, 2012, 11:22 AM   #2
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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 =].

 April 17th, 2012, 11:47 AM #3 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 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.
 April 17th, 2012, 02:38 PM #4 Newbie   Joined: Apr 2012 Posts: 17 Thanks: 0 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 : $.23= 2\cdot 10^{-1} + 3 \cdot 10^{-2}$
 April 17th, 2012, 03:12 PM #5 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: What does decimal form mean? Decimal just refers to base 10 notation.
 April 19th, 2012, 03:07 AM #6 Newbie   Joined: Mar 2012 Posts: 21 Thanks: 0 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.

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