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

Place Value in Decimals

What is the 6 worth in 352.68? Place value is the key that unlocks all decimal work — comparing, rounding and calculating. This lesson uses a place-value chart to make each digit's value crystal clear.

D2Place Value in Decimals
Every digit has a value based on its position.
Place value tells us what each digit in a decimal is worth.
What is each digit in 352.68 worth?
H3T5O2·.1/1061/1008
3 hundreds · 5 tens · 2 ones · 6 tenths · 8 hundredths
1

Learn the Method

1Line up the decimal point.

The point is the anchor — every position around it has a fixed value.

352.68

2Name each position.

Left of the point: ones, tens, hundreds. Right of the point: tenths, hundredths.

T5O2·.1/1061/1008

3Give each digit its value.

The 6 in 352.68 is worth 6 tenths (0.6). The 5 is worth 5 tens (50).

6 → 0.6
💡 Key IdeaEach place is 10 times smaller than the place to its left. Tens → ones → tenths → hundredths.
2

Worked Example

What is the value of each underlined digit?

47.3
7 ones = 7
2.91
9 tenths = 0.9
6.53
3 hundredths = 0.03
3

Watch Out! Common Mistakes

Thinking the 6 in 352.68 is just ‘6’.
352.68 → 6 = 6 ✕

Wrong! Position matters. That 6 sits in the tenths place, so it is worth 0.6.

Mixing up tenths and tens.
“0.5 has 5 tens” ✕

Wrong! Tens are on the left of the point; tenths on the right. 0.5 has 5 tenths.

Ignoring zero as a placeholder.
3.05 = 3.5 ✕

Wrong! The zero holds the tenths place. 3.05 is 3 and 5 hundredths — smaller than 3.5.

📄 Free printable: Download the Place Value in Decimals cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

What is place value in decimals?

Place value means each digit is worth a different amount depending on where it sits. In 4.62, the 6 is worth 0.6 (six tenths) and the 2 is worth 0.02 (two hundredths).

What is a placeholder zero?

A zero that keeps other digits in the correct position. In 3.05, the zero shows there are no tenths — without it the number would wrongly become 3.5.

How can I help my child practise place value?

Ask ‘what is this digit worth?’ about prices and measurements — £3.47, 1.25 litres. Saying values aloud (‘4 tenths’, ‘7 hundredths’) builds the idea quickly.

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