A student says that 0.125 is an irrational number because it has decimal digits. What is the error in the student's statement?
Answer and explanation
Correct answer: 0.125 is rational because \(0.125=\frac{1}{8}\)
The decimal expansion of 0.125 terminates. Writing it as \(125/1000\) and dividing by 125 gives \(1/8\), so it is rational. Option B is a misconception: terminating decimals are rational. Exam tip: a terminating or repeating decimal can be expressed as a fraction.
Frequently asked questions
What is the correct answer to this question?
0.125 is rational because \(0.125=\frac{1}{8}\)
Why is this the correct answer?
The decimal expansion of 0.125 terminates. Writing it as \(125/1000\) and dividing by 125 gives \(1/8\), so it is rational. Option B is a misconception: terminating decimals are rational. Exam tip: a terminating or repeating decimal can be expressed as a fraction.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Real Numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
