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Estimation in Arithmetical Calculations (F)

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Estimation in Arithmetical Calculations (F)

Estimate totals quickly for GCSE Foundation. Use front-end estimation, rounding to significant figures, and compatible numbers to check answers and plan calculations.

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Fascinating Fact:

For a school fundraiser, 823 + 456 + 189 uses front end: 800 + 400 + 100 = 1300, tens about 150, so total ≈ 1450. Add leftovers roughly.

In GCSE Maths (Foundation), estimation helps you check answers and plan steps before calculating exactly. You’ll round to suitable accuracy, use front-end estimation, and choose compatible numbers to make mental arithmetic faster and safer.

Key Terms

Front-end estimation: Add leading place values first (hundreds, thousands) then adjust with the remaining parts.
Significant figures (s.f.): The digits that show precision. Round to 1 or 2 s.f. for quick estimates.
Compatible numbers: Numbers chosen to calculate easily, like 25 × 4 or 3.2 ≈ 3.

Frequently Asked Questions (Click to see answers)

When should I round to 1 s.f. or 2 s.f. in estimation?

Use 1 s.f. for a rapid check and 2 s.f. when a little more accuracy is helpful. Match your rounding to the context of the question.

What is front-end estimation in GCSE Maths?

Front-end estimation adds the largest place values first (e.g., hundreds), then adjusts with the remaining tens and ones for a quick sensible total.

How do I estimate with decimals and percentages?

Round to easy compatible values: 19.8 ≈ 20, 12% ≈ 10%. Calculate mentally, then judge if the estimate is reasonable for the situation.

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You can find more about this topic by visiting BBC Bitesize - Approximation

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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