The table below shows whether each of the given numbers is an element of the natural numbers (N), the integers (Z), the rational numbers (Q), and the irrational numbers (R\Q) - Junior Cycle Mathematics - Question c - 2017
Question c
The table below shows whether each of the given numbers is an element of the natural numbers (N), the integers (Z), the rational numbers (Q), and the irrational numb... show full transcript
Worked Solution & Example Answer:The table below shows whether each of the given numbers is an element of the natural numbers (N), the integers (Z), the rational numbers (Q), and the irrational numbers (R\Q) - Junior Cycle Mathematics - Question c - 2017
Step 1
√6
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Answer
Yes for Q, No for N, Z, and R\Q. √6 is an irrational number since it cannot be expressed as a fraction of two integers but it is not a natural number or an integer. It is a rational number.
Step 2
2/3
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Answer
Yes for Q, Z, N, and No for R\Q. 2/3 is a rational number as it can be expressed as a fraction of two integers, but it is neither a natural number nor an integer.
Step 3
-4
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Answer
No for N, Yes for Z, Yes for Q, and No for R\Q. -4 is an integer and can be expressed as a fraction (-4/1), so it is a rational number, but not a natural number or an element of the irrational numbers.
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