On the number line, which point is closer to 1: 1/10 or 9/10?
Answer and explanation
Correct answer: 9/10
To compare closeness on a number line, calculate the absolute distance from the reference point 1. For 1/10, the distance is |1 − 1/10| = |9/10| = 9/10. For 9/10, the distance is |1 − 9/10| = |1/10| = 1/10. Since 1/10 is less than 9/10, the point 9/10 is closer to 1. Thus option B is correct. Option A reverses the distances, while option C would be true only if the two distances were equal. Option D is impossible because both fractions identify valid points on the number line.
Frequently asked questions
What is the correct answer to this question?
9/10
Why is this the correct answer?
To compare closeness on a number line, calculate the absolute distance from the reference point 1. For 1/10, the distance is |1 − 1/10| = |9/10| = 9/10. For 9/10, the distance is |1 − 9/10| = |1/10| = 1/10. Since 1/10 is less than 9/10, the point 9/10 is closer to 1. Thus option B is correct. Option A reverses the distances, while option C would be true only if the two distances were equal. Option D is impossible because both fractions identify valid points on the number line.
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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