# Exam-Style Question on Number Systems

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

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Question id: 94. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

This Venn diagram shows the relationship between the sets of numbers

$$\mathbb N, \mathbb Z, \mathbb Q \text{ and } \mathbb R$$

Write down the following numbers in the appropriate place in the Venn diagram.

(a) $$5$$

(b) $$\frac23$$

(c) $$\pi$$

(d) $$0.91$$

(e) $$\sqrt 7$$

(f) $$-0.75$$

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