Jax is trying to convert 0.006m^2 into mm^2 His workings are shown below. a) Write a sentence to explain the mistake that Jax has made. b) What answer should Jax have given?

Question

Question

Jax is trying to convert 0.006m^2 into mm^2 His workings are shown below. a) Write a sentence to explain the mistake that Jax has made. b) What answer should Jax have given?

Answer 1

a. Jax has made a mistake of using the conversion factor for lengths (1m = 1000mm) instead of the conversion factor for areas (1m^2 = 1,000,000mm^2). b. Jax should have given \(0.006 \mathrm{~m}^{2} \times \frac{1,000,000~\mathrm{mm}^{2}}{1 \mathrm{~m}^{2}} = 6,000 \) square millimeters.

Answer 2

## Step1: Read the problem carefully to understand what is being asked. ## Step2: Recognise the conversion factor between \(\mathrm{m}^{2} \) and \( \mathrm{mm}^{2} \). It is different from the conversion factor between meters and millimeters, because it is an area measurement as opposed to a length measurement. The conversion factor is \(1 \mathrm{~m}^{2} = 1,000,000 \mathrm{~mm}^{2}\). ### \(1 \mathrm{~m} = 1,000 \mathrm{~mm}\) (for length) ### \(1 \mathrm{~m}^{2} = 1,000,000 \mathrm{~mm}^{2}\) (for area) ## Step3 (part a) Identify Jax's mistake. If he merely used the length conversion factor when converting areas, then that would be the mistake. ## Step4 (part b) Apply the correct conversion factor \( (1 \mathrm{~m}^{2} = 1,000,000 \mathrm{~mm}^{2}) \) to correct Jax's answer.

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Jax is trying to convert 0.006m^2 into mm^2 His workings are shown below. a) Write a sentence to explain the mistake that Jax has made. b) What answer should Jax have given?

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