Learning pack · Foundation · CIE Core

Decimals

What's in this pack: printable worksheet PDF, matching answers PDF (Foundation · CIE Core depth). Decimals connect place value to fractions and percentages. Accuracy of rounding and careful column arithmetic matter in exams.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (6)📖 Full summary

Files: foundation-10 Decimals handout.pdf · foundation-10 Decimals handout answers.pdf

Full topic summary

Decimals connect place value to fractions and percentages. Accuracy of rounding and careful column arithmetic matter in exams.

Key learning points

Ordering decimals: compare digit-by-digit from the tenths place.
Multiplying/dividing by powers of 10 shifts the point.
Rounding: look one digit beyond the place required.

Worked example 1 — Ordering

Order $0.4,\ 0.35,\ 0.405$ from smallest to largest.

Working

0.35,\ 0.4,\ 0.405

Compare digit-by-digit from the tenths place.

Worked example 2 — Rounding

Round $3.146$ to 2 decimal places.

Working

3.15

The third decimal digit is 6, so round up.

Worked example 3 — Multiply by powers of 10

Calculate $4.27\times100$ .

Working

427

Move the point two places right.

Worked example 4 — Divide by powers of 10

Calculate $56.3\div1000$ .

Working

0.0563

Move the point three places left.

🎬 Topic videos

Math Antics - Integer Multiplication & Division
Math Antics · 10 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Math Antics - Fractions and Decimals
Math Antics · 9 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Comparing Decimal Numbers - Math Antics Extras
Math Antics · 5 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Division: Remainders vs. Decimals - Math Antics Extras
Math Antics · 4 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Introduction to Integers
Eddie Woo · 5 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Solving percent problems | Decimals | Pre-Algebra | Khan Academy
Khan Academy · 6 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

More Lower Secondary packs

Browse the hub Learning Packs & Summary, or open the compact Decimals summary.