Steply

Write 1/2 as a decimal

Step by step, with the reason for every step · Fractions and decimals · Foundations

Step by step

The question

Question: write 1/2 as a decimal.

12

1 Make the bottom 10, 100 or 1000

A decimal is tenths, hundredths, thousandths.

So we want a bottom of 10, 100 or 1000.

2 times 5 is 10.

2 × 5 = 10

We multiply the top and the bottom by 5.

5/5 is 1, so the value stays the same.

= 1 × 52 × 5

1 times 5 is 5.

So we get 5/10.

= 510

2 Write the decimal

10 has 1 zero.

So the decimal has 1 digit after the point.

10: 1 zero → 1 digit after the point

5 tenths is 0.5.

= 0.5

3 Check

Let's check: the decimal times the bottom should give the top.

0.5 times 2.

Check: 0.5 × 2

Forget the points: 5 times 2 is 10.

The numbers have 1 digit after the point.

So the answer has 1 too: 1.0, which is 1.

5 × 2 = 10 → 1.0

We get 1, the top.

So the answer is right!

0.5 × 2 = 1

Let's look back.

First: make the bottom 10, 100 or 1000.

Then: write the decimal.

Last: check.

Answer
= 0.5

Your turn

Try this one yourself, then check:

15
Show the answer
0.2

More from Fractions and decimals

The whole lesson: Fractions and decimals →