What is the distance between (-\sqrt{16}) and (2.5) on the number line?
Answer and explanation
Correct answer: 6.5
Since (-\sqrt{16}=-4), the distance between the two points is the absolute value of their difference: (|2.5-(-4)|=|6.5|=6.5). Therefore, 6.5 is correct. The value 5.5 results from an incorrect subtraction of (-4) and (2.5). Exam tip: Distance on a number line is always the absolute value of the difference, so it cannot be negative.
Frequently asked questions
What is the correct answer to this question?
6.5
Why is this the correct answer?
Since (-\sqrt{16}=-4), the distance between the two points is the absolute value of their difference: (|2.5-(-4)|=|6.5|=6.5). Therefore, 6.5 is correct. The value 5.5 results from an incorrect subtraction of (-4) and (2.5). Exam tip: Distance on a number line is always the absolute value of the difference, so it cannot be negative.
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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