When we square a number that is less than 1, the answer is smaller than the original number.

**Example**

Work out (0.3)^{2}

**Answer**

We must calculate 0.3 x 0.3

We know that 3 x 3 = 9

But now we must divide each of the 3s by 10

and therefore we must divide the 9 by 100.

9 ÷ 100 = 0.09

So, 0.3^{2} = 0.09

Similarly, 0.7^{2} = 0.49

and 0.03^{2} = 0.0009

The easiest way to calculate these tricky problems is to **count decimal places.**

The rule is that you should always have the same number of decimal places in the answer as in the calculation.

So, in 0.3^{2} we have 0.3 x 0.3 which has a total of** two decimal places**.

The answer of 0.09 also has two decimal places.

In 0.03^{2} we have 0.03 x 0.03 which has **four decimal places.**

The answer of 0.0009 also has four decimal places.

Let's try some questions now - but don't forget to count those decimal places!