Let's identify the most specific set for each number:
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0.121212...: This is a repeating decimal, which makes it a rational number. It can be expressed as the fraction 12/99 or 4/33. The most specific set it belongs to is Rational Number.
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√144: The square root of 144 is 12, which is a whole number. Since it is a whole number, it also qualifies as an integer and a natural number. However, the most specific set is Whole Number.
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√47: The square root of 47 is an irrational number because it cannot be expressed as a fraction of two integers. Therefore, the most specific set is Irrational Number.
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-9: This is a negative whole number, which makes it an integer. It is not a natural number (since natural numbers are positive integers), but it is the most specific set is Integer.
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0: The number 0 is considered a whole number and an integer. It is not a natural number, however, so the most specific set is Whole Number.
Summary:
- 0.121212... → Rational Number
- √144 → Whole Number
- √47 → Irrational Number
- -9 → Integer
- 0 → Whole Number
1 answer