# IMO Class 4 Chapter 5: Decimal Numbers

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## IMO Class 4 Chapter 5: Decimal Numbers Detailed Notes

### What are Decimals?

Decimals are a way to express parts of a whole number using a decimal point. The decimal point separates the whole number part from the fractional part.

Let me explain decimals using 34.7 as an example.

The number 34.7 is a decimal number. It has a whole number part (34) and a decimal part (0.7). The decimal point separates the whole number part from the decimal part.

The digit to the right of the decimal point represents tenths, which means that 0.7 is seven-tenths (7/10) of a whole number. You can also write it as a fraction: 7/10.

To understand the value of each digit in 34.7, we can look at the place value of each digit. The digit 3 is in the tens place, which means it represents 3 tens or 30. The digit 4 is in the ones place, which means it represents 4 ones or 4. The digit 7 is in the tenths place, which means it represents 7 tenths or 0.7.

So, if we add the values of each digit together, we get the total value of the number:

3 tens + 4 ones + 7 tenths = 30 + 4 + 0.7 = 34.7

Given below is the decimal representation of the number “thirty-four and seven-tenths”:

3 tens, 4 ones, and 7 tenths creates the number 34.7.

### Properties of Decimals

1. Decimals can be added, subtracted, multiplied, and divided just like whole numbers.
2. The decimal point separates the whole number part from the fractional part.
3. The value of each digit to the right of the decimal point is determined by its position or place value.
4. The place value of the digit to the right of the decimal point is tenths, and the place value of the digit to the right of that is hundredths, and so on.
5. Decimals can be written as fractions, with the denominator equal to a power of 10.
6. Decimals can be compared using the greater than (>), less than (<), or equal to (=) symbols.
7. Decimals are used in many real-life situations, such as money, measurements, and scientific calculations.

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