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Updated Mar 28, 2026

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Master GCSE Maths: Recurring Decimals, Rounding, Estimation, Best Buys

Halima

@halima_qureshi

Mastering decimals, rounding, and estimation is crucial for your GCSE... Show more

$# RECCURING DECIMALS write 0.0262626. as a fraction X=0.02 6 2 6 2 6 2 6.. 10x=0.26 2 6 2 6 2 6 2 1000x2 6.2 6 2 6 2 6 26 1000x=262626 100$

Essential Number Skills: Decimals, Rounding & Real-World Maths

Recurring decimals might look scary, but there's a simple trick to convert them into fractions. When you see 0.0262626..., you multiply by powers of 10 to line up the repeating parts, then subtract to eliminate the recurring bit.

Here's how it works: if x = 0.0262626..., then 10x = 0.2626... and 1000x = 26.2626... Subtracting the second from the third gives you 990x = 26, so x = 26/990. The key is choosing the right powers of 10 based on how many digits repeat.

Rounding to significant figures is all about identifying the important digits. For 2 significant figures, count from the first non-zero digit and round the second one. So 394 becomes 390, 1273 becomes 1300, and 0.618 becomes 0.62.

Quick Tip: When estimating calculations like (40.18 × 6.87) ÷ 0.512, round to simple numbers first: (40 × 7) ÷ 0.5 = 560. This gives you a sensible answer to check against!

Best buy calculations are perfect for real shopping decisions. Simply divide the price by the quantity to find the cost per unit. In the biscuit example, regular costs 9.5p per biscuit whilst large costs 10p per biscuit, making regular the better deal.

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Updated Mar 28, 2026

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1 page

Master GCSE Maths: Recurring Decimals, Rounding, Estimation, Best Buys

Halima

@halima_qureshi

Mastering decimals, rounding, and estimation is crucial for your GCSE maths success and everyday life calculations. These fundamental skills will help you tackle complex problems with confidence and make smart financial decisions.

$# RECCURING DECIMALS write 0.0262626. as a fraction X=0.02 6 2 6 2 6 2 6.. 10x=0.26 2 6 2 6 2 6 2 1000x2 6.2 6 2 6 2 6 26 1000x=262626 100$

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Essential Number Skills: Decimals, Rounding & Real-World Maths

Quick Tip: When estimating calculations like (40.18 × 6.87) ÷ 0.512, round to simple numbers first: (40 × 7) ÷ 0.5 = 560. This gives you a sensible answer to check against!