Regrouping decimals

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Decimals numbers representation is one of the most useful notations in math. In a decimal numbers the decimal dot is used separate the whole number part and the fractional part. The first number next to the decimal point is called the tenth place value. The second number next to the decimal point is called the hundredth place value. The third number next to the decimal point is called the thousandth place value and so on.

Example 1: Show the place values and grouping of the digits in the decimal number 23.45?
Solution: Here the number 23 is the whole number part. Where 3 is the ones place and 2 is the tenths place. The whole number part is separated by the fractional part by a decimal dot.
The tenth decimal place value is 4. The hundredth decimal place value is 5.
The number 23.45 can be grouped as the following:
23.45 = 20 + 3 + dot (.) + 4/10 + 5/100.
Question: Multiple choice question (Pick the correct option.)
What is the answer for the addition of the decimal number 2.3 + 4.5?
a)    6.0                   b) 6.5              c) 6.8              d) None of these.
Correct answer: option c
.Here the two decimal number 2.3 and 4.5 are to be added.
First add the tenth decimal place values this gives 3 + 5 = 8.
Now add the whole number part which gives 2 + 4 = 6
Now grouping the two decimal number gives:
Answer: 2.3 + 4.5 = 6.8

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