What type of number is (-8)?
Answer and explanation
Correct answer: Rational and real number
You can write (-8) as \( -8=\frac{-8}{1}\), so it is a ratio of two integers and therefore rational. Every integer is also a real number, so (-8) is real as well.
Why other choices are wrong: B is incorrect because irrational numbers cannot be expressed as a ratio of integers (e.g. \(\sqrt{2}\)). C is wrong because natural numbers are positive integers (1,2,3,...); -8 is not natural. D is wrong because non-real (complex) numbers have a nonzero imaginary part (e.g. \(3+2i\)); -8 has no imaginary part.
Exam tip: To decide if a number is rational, try to express it as \(\frac{p}{q}\) with integers \(p,q\) and \(q\neq0\).
Frequently asked questions
What is the correct answer to this question?
Rational and real number
Why is this the correct answer?
You can write (-8) as \( -8=\frac{-8}{1}\), so it is a ratio of two integers and therefore rational. Every integer is also a real number, so (-8) is real as well.
Why other choices are wrong: B is incorrect because irrational numbers cannot be expressed as a ratio of integers (e.g. \(\sqrt{2}\)). C is wrong because natural numbers are positive integers (1,2,3,...); -8 is not natural. D is wrong because non-real (complex) numbers have a nonzero imaginary part (e.g. \(3+2i\)); -8 has no imaginary part.
Exam tip: To decide if a number is rational, try to express it as \(\frac{p}{q}\) with integers \(p,q\) and \(q\neq0\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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