If the distance from (2) to (5) is divided into (6) equal parts, what is the length of each part?
Answer and explanation
Correct answer: (\frac{1}{2})
The governing concept is equal partition of a distance on the number line. The total distance between the points 2 and 5 is the absolute difference |5-2|=3 units. Dividing this total length into 6 equal parts gives 3/6=1/2 unit for each part. Hence option B is correct. Option A would result from dividing 3 by 9, option C would incorrectly use a unit length, and option D is the entire distance rather than one of six equal portions. Using the absolute difference is important because distance is always non-negative, regardless of the direction in which the points are named.
Frequently asked questions
What is the correct answer to this question?
(\frac{1}{2})
Why is this the correct answer?
The governing concept is equal partition of a distance on the number line. The total distance between the points 2 and 5 is the absolute difference |5-2|=3 units. Dividing this total length into 6 equal parts gives 3/6=1/2 unit for each part. Hence option B is correct. Option A would result from dividing 3 by 9, option C would incorrectly use a unit length, and option D is the entire distance rather than one of six equal portions. Using the absolute difference is important because distance is always non-negative, regardless of the direction in which the points are named.
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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