Monday, March 25, 2013

Math Decimal System

Introduction to Math Decimal System:

The concept of decimal system  is also deals with the fractions whose denominators are 10, 100 or 1000 etc. In this section, a decimal can be expressed as a fraction and vice-versa. A math decimal system may contain a whole number part and a decimal part. In a decimal system, if whole number part is not given, we indicate it by writing a zero on the left of the decimal point.In math, decimal value is represented by the point.

I like to share this Decimal to Percent with you all through my article.

Decimal number system in math:


In math decimal number system, the value of a digit depends upon its place, or position, in the number.
Each place has some value of 10 times the place to its right.

To the left of  decimal point are:
Ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, etc

To the right of the decimal point are:
Tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on..

Understanding Percentage Change Equation is always challenging for me but thanks to all math help websites to help me out.

Decimal Conversions math:


Fractions as decimals:
A  fraction with denominator 10 can be expressed  using decimals.here we are going to convert fractions into decimals
Let us try to find decimal representation.

Example 1:
Covert the  ` 22/10`  into decimal

Solution:
We know that
`22/10` =`20+ 2/10 `

= `20/10 +2/10`

= 2 +`2/10`

= 2.2

Therefore, `22/10` = 2.2 is the decimal form

Example 2:
Write the following as a decimal:
34+ `2/10+3/100`

Solution:
34+`2/10+3/100`

=34.23 is decimal form

Example 3:
Convert the following  72+`2/100+3/1000` into decimals

Solution:
72+ `0/10 +2/100+ 3/1000 `

=72.023

Decimals as fractions:
Till now we have to know, how to write fractions with denominators 10, 2 or 3 as decimals.  we  can write a decimal number  like 2.5 as  fraction.
Take numerator as the number obtained by removing the decimal point from the given decimal.
Take denominator as number obtained by inserting as many zeros with 1  ex. 10, 100 or 1000 ,etc. as there are
number of places in decimal  number part.

Example,    Let us see 1.2 = 1+`2/10`

Example 1:
Write the terms into fractions
7.02
Solution:
Here after point placed 2 digits so the fraction is 100
=`702/100`

Example 2:
Write the terms into fractions  0.81

Solution:
Here after point placed 2 digits so the fraction is 100
= `81/100`

Example 3:
Write the terms into fractions  0.125

Solution:
Here after point placed 3 digits so the fraction is 1000
0.123 = `123/1000`

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