We can write any fraction as a decimal.

We do this by treating it as a division, which we can do either using pen and paper or with our calculator.

Some decimals are **terminating**, i.e. to the right of the decimal point will be a limited number of digits.

Some decimals (e.g. 1/3) are **non-terminating**, i.e. to the right of the decimal point the digits go on forever (although your calculator can’t show them all).

**Exercise**

Let’s try exercise 10F on page 152 of the textbook without using our calculators (or only use them to check **after** doing the question.

The answers are below:

**Extension exercise**

If we want to change a recurring decimal into a fraction, there is a very nice technique to do it. Let’s try out this technique for:

- 0.88888…
- 0.141414…..

Let’s use this technique on question 2 and question 6 of exercise 10G on page 153 of our textbook.

The answers are below: