Chapter 3 - Decimals - R D Sharma Solutions for Class 7

A decimal is a number which is expressed with a decimal point. It has two parts namely whole-number part and decimal part. In a decimal number, whole number part and fractional part is separated by a decimal point.

Like decimal: The decimals which are having the same number of digits on the right of the decimal point For example: 1.25, 2.36, 5.42 etc. They all are having two decimal places.

Unlike decimals: The decimals which are having unequal number of digits on the right of the decimal point. For example: 4.5, 2.75, 6.896 etc. In these examples, 4.5 has one decimal place, 2.75 has 2 decimal place and 6.896 has three decimal place.

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Method for comparing decimals: We must follow below stated steps in order to compare decimal numbers.

Step1: Obtain the decimal numbers

Step2: Compare the whole parts of the numbers. The number with greater whole part will be greater. If the whole parts are equal, then follow the next step.

Step3: Compare the extreme left digits of the decimal parts of two numbers. The number with greater extreme left digit will be greater. If the extreme left digits of decimal parts are equal, then compare the next digits and so on.

Method for addition and subtraction of decimals:

Step1: Convert the given decimals to like decimals.

Step2: Write the decimals in columns with their decimal points directly below each other so that tenths come under tenths, hundredths come under hundredths and so on.

Step3: Add or subtract in the same way as we do in whole numbers.

Step4: Place the decimal point, in the answer, directly below the other decimal points.