Which fraction represents the same point as (2.125) on the number line?
Answer and explanation
Correct answer: (\frac{17}{8})
The governing idea is that equivalent numerical values represent the same point on the number line. Convert the decimal into a fraction: 2.125=2125/1000=17/8 after reducing by 125. An even clearer decomposition is 2.125=2+0.125=2+1/8=16/8+1/8=17/8. Therefore option C represents exactly the same point. Option A equals 1.875, option B equals 2, and option D equals 2.375, so none of those has the required value. The terminating decimal has three decimal places, but simplifying the resulting fraction gives the exact answer.
Frequently asked questions
What is the correct answer to this question?
(\frac{17}{8})
Why is this the correct answer?
The governing idea is that equivalent numerical values represent the same point on the number line. Convert the decimal into a fraction: 2.125=2125/1000=17/8 after reducing by 125. An even clearer decomposition is 2.125=2+0.125=2+1/8=16/8+1/8=17/8. Therefore option C represents exactly the same point. Option A equals 1.875, option B equals 2, and option D equals 2.375, so none of those has the required value. The terminating decimal has three decimal places, but simplifying the resulting fraction gives the exact answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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