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Can you get ten out of ten in this quiz on decimals?

Decimals (F)

Master decimals for GCSE Foundation. Shift the decimal point, multiply or divide by powers of ten, round sensibly, and apply decimals to money, measures, and percentage problems.

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Fascinating Fact:

At a petrol station, dividing by 100 moves the decimal two places left. 7.5 ÷ 100 = 0.075, useful for litres to hundreds.

In GCSE Maths (Foundation), decimals link place value with fractions and percentages. You’ll move the decimal point for powers of ten, line up points to add or subtract, and round results to sensible accuracy.

Key Terms

Decimal place: The position of a digit to the right of the decimal point (tenths, hundredths, thousandths, …).
Power of ten: Numbers like 10, 100, 1000. Multiply to shift the decimal right; divide to shift it left.
Rounding (d.p.): Approximating a number to a set number of decimal places, based on the next digit.

Frequently Asked Questions (Click to see answers)

How do you multiply or divide decimals by 10, 100, or 1000?

Shift the decimal point: ×10 moves once right, ×100 twice; ÷10 moves once left, ÷100 twice, and so on. Fill with zeros if needed.

What’s the difference between decimal places and significant figures?

Decimal places count digits after the decimal point. Significant figures count meaningful digits from the first non-zero digit, including those before and after the decimal.

How do I add, subtract, and multiply decimals accurately?

Line up decimal points to add or subtract. For multiplication, ignore points, multiply whole numbers, then place the decimal using the total digits after the points.