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What is distance between ( -12 ) and ( -3 )

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Answer and explanation

Correct answer: \(9\)

The distance between two numbers on a number line is the positive value of their difference: \(\lvert -12-(-3)\rvert=\lvert -9\rvert=9\). Therefore, the correct answer is \(9\). \(15\) is obtained by adding the magnitudes of the numbers, but that is not the distance when both numbers are negative. Exam tip: always use \(\lvert a-b\rvert\) to find distance on a number line.

Related tags

Number SystemsNumber LineDistance Between IntegersAbsolute ValueIntegers

Frequently asked questions

What is the correct answer to this question?

\(9\)

Why is this the correct answer?

The distance between two numbers on a number line is the positive value of their difference: \(\lvert -12-(-3)\rvert=\lvert -9\rvert=9\). Therefore, the correct answer is \(9\). \(15\) is obtained by adding the magnitudes of the numbers, but that is not the distance when both numbers are negative. Exam tip: always use \(\lvert a-b\rvert\) to find distance on a number line.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Number line.

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