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If points A and B are located at \(-2.4\) and \(3.6\), respectively, on the number line, what is the length of segment AB?

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Answer and explanation

Correct answer: \(6\)

The distance between two points on a number line is the absolute value of the difference of their coordinates: \(|3.6-(-2.4)|=|6|=6\). Therefore, the length of AB is \(6\). Remember that distance is always non-negative; \(1.2\) results from incorrectly subtracting the decimal parts only.

Related tags

Number LineDistanceAbsolute ValueReal NumbersCoordinate Difference

Frequently asked questions

What is the correct answer to this question?

\(6\)

Why is this the correct answer?

The distance between two points on a number line is the absolute value of the difference of their coordinates: \(|3.6-(-2.4)|=|6|=6\). Therefore, the length of AB is \(6\). Remember that distance is always non-negative; \(1.2\) results from incorrectly subtracting the decimal parts only.

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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