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

Decimals: The Complete Guide for Ages 9–11

Everything your child needs to master decimals — 14 short visual lessons, from ‘what is a decimal?’ to multi-step problem solving. Each lesson takes about 3 minutes, uses place-value charts and number lines children can picture, and comes with a printable cheat sheet.

🔢 Why decimals matter

Decimals power money, measurement and data — and they're the bridge between fractions and percentages. Children who understand place value deeply find the rest of maths dramatically easier.

🏫 What children learn in Years 4–6

Tenths and hundredths (Y4), decimals to three places, comparing, ordering and rounding (Y5), and calculating with decimals, including all four operations and fraction conversions (Y5–6).

🎯 Built for 11+ preparation

Every lesson highlights the exact traps examiners set — 0.65 vs 0.7, ‘just add a zero’, misaligned decimal points — in a ‘Watch Out!’ section.

The learning path

Work through the lessons in order — each one builds on the last.

1
What Are Decimals?
Learn what decimals are: tenths, hundredths and the decimal point, with clear visual models.
2
Place Value in Decimals
Understand decimal place value: what each digit is worth in numbers like 352.68.
3
Decimals on a Number Line
Place decimals like 2.7 and 0.65 on a number line, step by step.
4
Comparing Decimals
Compare decimals the reliable way: line up the points, pad with zeros, compare left to right.
5
Ordering Decimals
Order decimals like 0.5, 0.45 and 0.405 with the pad-with-zeros method.
6
Rounding Decimals
Round decimals to the nearest whole number and to one decimal place, with the underline method.
7
Adding Decimals
Add decimals with the column method: line up the points, pad zeros, carry correctly.
8
Subtracting Decimals
Subtract decimals confidently: line up the points, pad with zeros, exchange correctly.
9
Multiplying by 10, 100 and 1000
Multiply decimals by 10, 100 and 1000 by sliding digits through place value.
10
Dividing by 10, 100 and 1000
Divide by 10, 100 and 1000 by sliding digits right through place value.
11
Multiplying Decimals by Whole Numbers
Multiply decimals like 3.2 × 4 and 2.35 × 3: ignore the point, multiply, restore the places.
12
Dividing Decimals by Whole Numbers
Divide decimals like 9.6 ÷ 4 with short division.
13
Fractions to Decimals
Convert fractions to decimals two ways: equivalent tenths/hundredths, or divide top by bottom.
14
Decimal Problem Solving
Solve multi-step decimal word problems with money and measures: read, plan, calculate, check.

Printable cheat sheets

One-page summaries of every method — print them and keep them by your child's desk.

📄 What Are Decimals?Printable cheat sheet (PDF)📄 Place Value in DecimalsPrintable cheat sheet (PDF)📄 Decimals on a Number LinePrintable cheat sheet (PDF)📄 Comparing DecimalsPrintable cheat sheet (PDF)📄 Ordering DecimalsPrintable cheat sheet (PDF)📄 Rounding DecimalsPrintable cheat sheet (PDF)📄 Adding DecimalsPrintable cheat sheet (PDF)📄 Subtracting DecimalsPrintable cheat sheet (PDF)📄 Multiplying by 10, 100 and 1000Printable cheat sheet (PDF)📄 Dividing by 10, 100 and 1000Printable cheat sheet (PDF)📄 Multiplying Decimals by Whole NumbersPrintable cheat sheet (PDF)📄 Dividing Decimals by Whole NumbersPrintable cheat sheet (PDF)📄 Fractions to DecimalsPrintable cheat sheet (PDF)📄 Decimal Problem SolvingPrintable cheat sheet (PDF)

Frequently asked questions

What order should my child learn decimals in?

Follow the numbered path on this page: understand what decimals are and place value first, then comparing/ordering/rounding, then calculating, and finally conversions and problem solving. Each lesson builds on the one before.

What ages are these decimals lessons for?

Written for ages 9–11 (Years 5–6 in England) and ideal for 11+ preparation. Tenths and hundredths content also suits confident Year 4 children.

Are these lessons free?

Yes — every lesson and printable cheat sheet is completely free. The MindBlaze app adds daily practice and rewards if your child wants more.

How do decimals connect to fractions?

A decimal is a fraction with 10, 100 or 1000 on the bottom: 0.7 = 7/10. Our Fractions guide pairs perfectly with this topic — we recommend finishing it first.

What is the most common decimal mistake?

Believing 0.65 is bigger than 0.7 because '65 beats 7'. The pad-with-zeros habit taught in lessons D4–D5 fixes it permanently.

🛡️ Curriculum aligned⭐ Builds confidence💜 Made for 9–13 year olds
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