GCSE Maths Practice: units-and-conversions

Question 3 of 10

This question practises converting areas from cm² to m². Understanding how to convert between units of length and area is fundamental in mathematics and real-world measurements. Remember that squaring a length conversion factor is necessary when converting area units.

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\( \begin{array}{l}\text{Convert 25000 cm² into m².}\end{array} \)

Choose one option:

Always square the length conversion factor when converting areas.

To convert from cm² to m², first recall that 1 m = 100 cm. Squaring both sides gives 1 m² = 100² cm² = 10000 cm². Therefore, to convert an area in cm² to m², divide by 10000. For example, 25000 cm² ÷ 10000 = 2.5 m². This method ensures accurate area conversions in geometry, construction, and science. Practice with different areas, and also try converting from m² to cm² by multiplying by 10000. Visualize this by imagining a square of 1 m on each side: it contains 100 × 100 = 10000 small 1 cm × 1 cm squares. Mastering these conversions builds confidence in measurement problems.