# Grade 5, Maths Olympiad (CBSE) - Decimal Computations

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Grade 5 | Maths | Decimal Computations, Fractions and Decimals, Olympiad, CBSE, ICSE, SOF, ITO

**Decimals**

Decimal system is a commonly used number system where every number is expressed in base ten. Each place has a value which is obtained by multiplying 10 as many times as the position of the number minus 1

E.g. 234=2 X 10X10 + 2 X 10 + 4 X 0

If we go from right to left place becomes 10 times smaller.

E.g.

For 234, ten's place is 10 times smaller than hundred's place. Similarly, unit's place is 10 times smaller than ten's place.

This thing can be extended further.

Consider the number 234.25. **"." **is called the decimal point. As we move from right to left after decimal point place becomes 10 times smaller.

We represent places as

Hundred-Ten-Unit-**Tenth**-**Hundredth**

**Decimal number consists of a whole part and a decimal part.**

Hundred-Ten-Unit is whole part and Tenth-Hundredth is the decimal part for the above number.

234.25: 234 is the whole part and **.25** is the decimal part.

**Like decimals: **Decimals which are expressed in the same number of places after the decimal point are called like decimals. E.g. 23.25 and 345.72 are like decimals.

To add or subtract decimals convert them to like decimals, align decimal point and perform the computation.

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