How can I write all the names that apply to the following numbers?
- \(-\frac{7}{8}\)
- \(\sqrt{0.15}\)
- \(\frac{\sqrt{18}}{2}\)
- \(\sqrt{45}\)
Answer (2)
The name that applies to all of the numbers given in the question is ‘real numbers’. Real numbers can be both rational — like the fraction -7/8 and the square root of 18/2 — and irrational numbers — like the square roots of 0.15 and 45.
The names that apply to the given numbers are all categorized as 'real numbers', with specific designations of rational or irrational. For example, -7/8 and \frac{\sqrt{18}}{2} are rational, while \sqrt{0.15} and \sqrt{45} are irrational. Thus, the overall classification for all numbers involves being real numbers, further specified by their rationality.
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