If \(x = 0.125\), what type of number is \(x\)?
Answer and explanation
Correct answer: Rational number
\(0.125\) is a terminating decimal, so it is a rational number. Converting to a fraction gives \(0.125 = \dfrac{125}{1000} = \dfrac{1}{8}\), which shows it equals \(p/q\). Option B is wrong because irrational numbers cannot be written as \(p/q\). Option C is wrong because \(0.125\) is a real number. Option D is wrong because integers have no fractional part, whereas \(0.125\) does. Exam tip: Convert a terminating decimal to a simplified fraction to confirm it is rational.
Frequently asked questions
What is the correct answer to this question?
Rational number
Why is this the correct answer?
\(0.125\) is a terminating decimal, so it is a rational number. Converting to a fraction gives \(0.125 = \dfrac{125}{1000} = \dfrac{1}{8}\), which shows it equals \(p/q\). Option B is wrong because irrational numbers cannot be written as \(p/q\). Option C is wrong because \(0.125\) is a real number. Option D is wrong because integers have no fractional part, whereas \(0.125\) does. Exam tip: Convert a terminating decimal to a simplified fraction to confirm it is rational.
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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