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11+ Maths Guide · Year 5–6 · Free lesson

Decimals on a Number Line

Where does 2.7 sit? What about 0.65? Placing decimals on a number line builds the number sense that makes comparing and rounding easy — and it's a favourite 11+ question. This lesson shows the method with clear diagrams.

D3Decimals on a Number Line
Every decimal has a place on the number line.
A number line shows exactly where a decimal sits between whole numbers.
Where does 2.7 live?
22.12.22.32.42.52.62.72.82.932.7
2.7 sits between 2 and 3 — seven tenths of the way along.
1

Learn the 3-Step Method

1Find the whole numbers either side.

2.7 is bigger than 2 but smaller than 3.

2 < 2.7 < 3

2Split the gap into 10 tenths.

Each small step between 2 and 3 is one tenth (0.1).

23

3Count along the tenths.

Count 7 steps from 2: that's 2.7.

23
💡 Key IdeaThe number line makes decimal size visible: numbers further right are bigger.
2

Worked Example

Mark 0.3, 0.65 and 0.9 on a number line from 0 to 1.

00.10.20.30.40.50.60.70.80.910.30.650.9
0.65 sits halfway between 0.6 and 0.7 — hundredths live between the tenths.
3

Watch Out! Common Mistakes

✕
Counting the marks instead of the gaps.
01

Careful! There are 11 marks but only 10 gaps. Each gap is one tenth.

✕
Placing 0.65 past 0.7.
0.65 after 0.7 ✕

Wrong! 0.65 is less than 0.7. It sits between 0.6 and 0.7, halfway along.

✕
Thinking 2.10 comes after 2.9.
2.9 → 2.10 ✕

Wrong! 2.10 equals 2.1, near the start. After 2.9 comes 3.0.

📄 Free printable: Download the Decimals on a Number Line cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

How do you place a decimal on a number line?

Find the two whole numbers it sits between, split that gap into ten equal tenths, then count along. For 2.7, go seven tenths of the way from 2 to 3.

Where does 0.65 go on a number line?

Between 0.6 and 0.7, exactly halfway — because 0.65 is 65 hundredths, and 5 hundredths is half a tenth.

Why do number lines help with decimals?

They turn abstract digits into positions children can see, which makes comparing, ordering and rounding decimals far more intuitive.

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