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Topic summary · Foundation · CIE Core

Rounding summary

Rounding and estimation control accuracy. Significant figures and decimal places are not the same — read the question.

Files: foundation-11 Rounding handout.pdf · foundation-11 Rounding handout answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Decimal places: count digits after the point.
  • Significant figures: count from the first non-zero digit.
  • Estimation: round to 1 s.f. then calculate.

Worked example 1 — Decimal places

Round 7.8467.846 to 1 decimal place.

Working

7.87.8

Look at the second decimal digit (4).

Worked example 2 — Significant figures

Round 0.0045820.004582 to 2 significant figures.

Working

0.00460.0046

Count from the first non-zero digit.

Worked example 3 — Estimation

Estimate 48.2×19.648.2\times19.6 by rounding to 1 s.f.

Working

50×20=100050\times20=1000

1 s.f. estimation checks calculator answers.

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.