 # Decimals

## A part of a whole number with denominator 10 and 100 are known as tenths and hundredths. One block divided into 10 equal parts means each part is one-tenth of a unit. It can be written as 0.1 in decimal notation. The dot represents the decimal point and it comes between the units place and the tenths place. To represent a number on the number line, divide unit distance on the number line by the place name of the last digit to the right of the decimal point. Every fraction with denominator 10 can be written in decimal notation and vice-versa. Each decimal number is a part of a whole number and can be converted into fraction number in the form of P/Q (Fraction numbers), where P and Q are natural numbers. Every fraction with denominator 100 can be written in decimal notation and vice-versa. Two decimal numbers can be compared by first comparing the whole part. If the whole parts are equal then the tenth parts can be compared and so on. One decimal number in one unit can be converted into other unit. 1 paise = ` 1/100 (1 part of 100) or ` 0.01 ` 0.01 = 0.01 x 100 paise = 1 paise 1gm = 1/1000 kg Or 0.001 kg (1 part of 1000) 0.001 kg = 0.001 x 1000gm = 1gm Some basic operations like addition and subtraction can be performed on decimal numbers. Decimals are used in many ways in our lives like in representing units of money, length and weight.

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