# Exam-Style Question on Standard Form

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 97. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

The Moon appears to orbit around the Earth with an average radius of 385 thousand kilometres.

(a) Write down this radius, in kilometres, in the form $$a\times 10^k$$, where $$1 \le a\lt 10,k\in \mathbb Z$$

(b) Calculate the distance, in kilometres, the Moon travels around the Earth in one orbit, assuming that the orbit is a circle.

It takes approximately 27.3 days for the Moon to complete one orbit.

(c) Calculate the total distance the Moon appears to travel around the earth during a leap year.

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