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What is the coordinate of the point corresponding to 0.75 on the number line?

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Answer and explanation

Correct answer: \(\frac{3}{4}\)

Converting the decimal to a fraction gives \(0.75=\frac{75}{100}=\frac{3}{4}\). Therefore, the point lies between 0 and 1, at a distance of \(\frac{3}{4}\) from 0. Option B, \(\frac{1}{4}\), represents 0.25, not 0.75. Exam tip: convert a terminating decimal into a fraction and reduce it to the simplest form.

Related tags

Decimal-To-FractionNumber-LineReal-NumbersUnit-Interval

Frequently asked questions

What is the correct answer to this question?

\(\frac{3}{4}\)

Why is this the correct answer?

Converting the decimal to a fraction gives \(0.75=\frac{75}{100}=\frac{3}{4}\). Therefore, the point lies between 0 and 1, at a distance of \(\frac{3}{4}\) from 0. Option B, \(\frac{1}{4}\), represents 0.25, not 0.75. Exam tip: convert a terminating decimal into a fraction and reduce it to the simplest form.

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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