Decimals summary

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

Compare digit-by-digit from the tenths place.

Worked example 2 — Rounding

Round $3.146$ to 2 decimal places.

Working

The third decimal digit is 6, so round up.

Worked example 3 — Multiply by powers of 10

Calculate $4.27\times100$.

Working

Move the point two places right.

Worked example 4 — Divide by powers of 10

Calculate $56.3\div1000$.

Working

Move the point three places left.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.