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6. Steps to find the square of decimal numbers

We can follow the below steps to find the square of the decimal numbers.

Step 1: Calculate the square of the given decimal number without the decimal.

Step 2: Put the decimal point in the obtained number such that it is twice that of the original number.

Note:

(i) If the original number contains single decimal, then the square of that number will have double decimal.

Number of decimals in the given number \(\times 2 = 1 \times 2 = 2\)

(ii) If the original number contains double decimal, then the square of that number will have four decimal.

Number of decimals in the given number \(\times 2 = 2 \times 2 = 4\)

Example:

Find the square of

2.9

Step 1: Calculate the square of the given number without decimal.

{(29}^{2}) = 29 \times 29 = 841

Step 2: Now, put the decimal point in the obtained number such that it is twice that of the original number.

That is, the given number has a single decimal, and the answer would be the double decimal.

{2.9}^{2} = 8.41

Therefore the square of a given decimal number is

2.9

\(=\)

8.41

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