Decimals l

Whole numbers consist of numbers starting with 0, 1, 2, 3….. When we consider a number the digits areplaced according to the place value starting from ones, tens, hundreds and so on. The place value startsfrom the right and proceeds towards left and each place value is ten times the previous value.


There are some digits written after the ones place towards the right and are written after putting aperiod, this period is called the decimal point and the number is called a decimal number. The placevalue of the decimal digits after the decimal point starts from 1/10 th and continues as 1/100th, 1/1000thand so on.

 

From this we can understand that one place value is 1/10th times its next value after the decimal point.In math decimals are smaller values than ones in a number which means the decimal part is always lessthan one in any given decimal figured value. 


Consider a number 536, dividing this number with 10 gives 53.6; here we get a decimal value. Fromthis we can infer that a number when divided by the multiples of 10 gives a decimal value. What is a decimal, it is a widely used base ten number system.
The decimal definition can be given as numbers that have decimal point, for example, 345.78, 0.652,7.23 etc. There are three types of decimal numbers, namely, an exact decimal value, a repeating orrecurring decimal values, not-exact and non-recurring decimal numbers. In an exact decimal number,the number of digits in the decimal part after a decimal point is finite, for example, 0.25, 3.554 etc areexact decimal numbers.


In recurring or repeating decimal numbers one or more digits in the decimal part keep repeating orrecurring endlessly. The recurring decimal digit or digits are represented by a bar over the digit or digits.For example, 2.333…, here 3 is the decimal digit recurring and is denoted with a bar over it, 2.3(bar).3.217217217… here the recurring digits are 217 and hence a bar is placed over all the three digits.


The non-exact and non-recurring decimals are the decimal numbers in which any of the digits in thedecimal part do not repeat or recur but there are decimal digits which are non-terminating which meansthe decimal part does not terminate or stop. For example, the value of pi given by 22/7 is a non-exact ornon-recurring decimal. 22/7 = 3.1415926…..here the digits of the decimal part do not recur at any pointand they continue without terminating.