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

What Are Decimals?

Decimals are how we write numbers between whole numbers — like 3.47. In this free 3-minute lesson your child will learn what the decimal point means and how tenths and hundredths work, with visual models throughout.

D1What Are Decimals?
Numbers between whole numbers.
A decimal shows part of a whole number. The decimal point separates whole numbers from parts.
A decimal shows tenths and hundredths.
0.7
7 tenths = 710
0.07
7 hundredths = 7100
O3·.1/1041/1007
3 ones, 4 tenths, 7 hundredths
The decimal point separates whole numbers (left) from parts (right).
1

Learn the 3-Step Method

1Find the decimal point.

Everything to the left is whole numbers. Everything to the right is parts.

3.47

2Read the tenths.

The first digit after the point counts tenths — pieces of a whole split into 10.

0.4 = 410

3Read the hundredths.

The next digit counts hundredths — pieces of a whole split into 100.

0.07 = 7100
💡 Key IdeaA decimal is another way of writing a fraction with 10 or 100 on the bottom. 0.7 = 7/10 and 0.07 = 7/100.
2

Worked Example

What does 3.47 mean?

Whole numbers
3
3 ones
+
Tenths
0.4
4 tenths = 410
+
Hundredths
0.07
7 hundredths = 7100
=
✓ Answer
3.47
three point four seven
3

Watch Out! Common Mistakes

Reading 0.7 as ‘seven’.
0.7 = 7 ✕

Wrong! 0.7 is seven tenths — less than 1. The point means the 7 counts parts, not wholes.

Thinking 0.07 is the same as 0.7.
0.07 = 0.7 ✕

Wrong! 0.7 is 7 tenths but 0.07 is 7 hundredths — ten times smaller.

Saying ‘three point forty-seven’.
3.47 → “three point forty-seven” ✕

Not quite! Read each digit: “three point four seven”. The digits have different place values.

Cheat Sheet

WHAT ARE DECIMALS?
  1. The decimal point separates wholes from parts.
  2. 1st digit after the point = tenths (1/10).
  3. 2nd digit after the point = hundredths (1/100).
  4. Read digits one at a time: 3.47 = ‘three point four seven’.
Example: 3.47 = 3 ones + 4 tenths + 7 hundredths
📄 Free printable: Download the What Are Decimals? cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

What is a decimal in simple words?

A decimal is a way of writing numbers that are in between whole numbers. The decimal point separates the whole-number part from the fraction part — so 3.5 means 3 and a half.

What do the digits after the decimal point mean?

The first digit after the point counts tenths (0.1 = 1/10), the second counts hundredths (0.01 = 1/100), and the third counts thousandths.

When do children learn decimals at school?

In England, children meet tenths and hundredths in Years 3–4, and work with decimals up to three decimal places, including calculations, in Years 5–6.

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D2 Place Value in Decimals
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