GCSE Maths Practice: units-and-conversions

Question 4 of 10

This question teaches converting square metres to square kilometres. Remember that 1 km = 1000 m, and squaring this factor gives 1 km² = 1,000,000 m². Converting large areas between units is common in geography, science, and engineering.

‹ ›

\( \begin{array}{l}\text{Convert 4500 m² into km².}\end{array} \)

Choose one option:

Always square the linear conversion factor when converting areas.

Converting areas requires squaring the linear conversion factor. For example, to convert 4500 m2 to km2, note that 1 km2 = (1000 m)2 = 1,000,000 m2. Then divide 4500 ÷ 1,000,000 = 0.0045 km2. Understanding this process is critical for land area measurements, mapping, and physics calculations. Practice converting various areas, visualizing squares, and checking that the results make sense in context. Always ensure the linear units are correct before squaring. Visualizing a square 1 km on each side helps: it contains 1000 × 1000 m2 = 1,000,000 m2. This skill is useful for large scale maps, construction planning, and scientific problem-solving.