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Which point on the number line has the coordinate \(\frac{\sqrt{225}-6}{9}\)?

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Answer and explanation

Correct answer: \(1\)

First evaluate the square root: \(\sqrt{225}=15\). Therefore, \(\frac{\sqrt{225}-6}{9}=\frac{15-6}{9}=\frac{9}{9}=1\). Hence, the point is \(1\). Exam tip: follow the order of operations carefully; \(\frac{9}{15}\) is incorrect because it reverses the intended numerator and denominator.

Related tags

Number LinePolynomialsReal NumbersSquare RootsOrder Of Operations

Frequently asked questions

What is the correct answer to this question?

\(1\)

Why is this the correct answer?

First evaluate the square root: \(\sqrt{225}=15\). Therefore, \(\frac{\sqrt{225}-6}{9}=\frac{15-6}{9}=\frac{9}{9}=1\). Hence, the point is \(1\). Exam tip: follow the order of operations carefully; \(\frac{9}{15}\) is incorrect because it reverses the intended numerator and denominator.

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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