To which (if any) of the sets N, Z, Q and R does -2/3 belong?
Question
To which (if any) of the sets N, Z, Q and R does -2/3 belong?
Solution
-2/3 belongs to the following sets:
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Z: This is the set of all integers. However, -2/3 is not an integer, so it does not belong to this set.
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Q: This is the set of all rational numbers (numbers that can be expressed as a fraction of two integers). -2/3 is a rational number, so it belongs to this set.
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R: This is the set of all real numbers. All rational numbers are real numbers, so -2/3 also belongs to this set.
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N: This is the set of all natural numbers (positive integers). -2/3 is not a natural number, so it does not belong to this set.
So, -2/3 belongs to the sets Q and R.
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