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
4.7
(233 Votes)
Leland
Master · Tutor for 5 years
Answer
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
square millimeters.
Explanation
## Step1: Read the problem carefully to understand what is being asked.## Step2: Recognise the conversion factor between
and
. 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
.###
(for length)###
(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.