Thursday 7 June 2012

adding decimals

In the previous post we have discussed about how to add fractions and In today's session we are going to discuss about adding decimals. In mathematics, decimal is defined as a system of the numbers and arithmetic based on the number ten, tenth parts, and powers of ten. Decimal is also known as a fraction number whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal. It is also defined the number which contains a decimal point.
                                   2 4 5.6 7 8
Here ‘.’ is the decimal point.
There are three types of decimal number:
1. Exact decimal number: it means that it has exact values after the decimal point just as 0.234.
2. Recurring decimal number: it means that that it has repeated values after the decimal point and goes forever over and over again just as 0.1232323232323232……..
3. Other decimal number: Sometimes recurring decimals are written with a bar over the digits which are repeated, or with dots over the first and last digits that are repeated just as 4.253654856…..
Now let’s discuss how to add the decimal numbers:
There are three steps for the addition of decimal numbers:
Step1: Line all the number in such a way that every number and decimal point should be one under another.
Step2: If the number is in shorter length then put the number of zeros to it.
Step3: Then add in the normal addition manner; make sure to put the decimal point in the answer.
Example:
Add the decimal number 3.426 +4.23=?
Solution:
Step1: Line all the number in such a way that every number and decimal point should be one under another.
i.e.                     3. 4 2 6
                     +    4. 2 3
Step2: If the number is in shorter length then put the number of zeros to it.
i.e.                     3. 4 2 6
                     +    4. 2 3 0
Step3: Then add in the normal addition manner; make sure to put the decimal point in the answer.
 i.e.                     3. 4 2 6
                     +    4. 2 3 0
                           7.  6 5 6
At last adding decimals and Frequency Table are well explained in west Bengal board of higher secondary education.

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