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If A=-\sqrt{116}, B=-10.75, and C=-\frac{43}{4}, which point lies farthest to the left on the number line?

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Answer and explanation

Correct answer: Point A

Since C=-\frac{43}{4}=-10.75, points B and C coincide. Also, \sqrt{116}\approx10.7703, so A=-\sqrt{116}\approx-10.7703. Among negative numbers, the smaller number lies farther left on the number line; therefore, point A is farthest left. Exam tip: When comparing negative numbers, the one with the greater absolute value is the smaller number.

Related tags

Number LineNegative NumbersReal NumbersDecimal ComparisonSquare Roots

Frequently asked questions

What is the correct answer to this question?

Point A

Why is this the correct answer?

Since C=-\frac{43}{4}=-10.75, points B and C coincide. Also, \sqrt{116}\approx10.7703, so A=-\sqrt{116}\approx-10.7703. Among negative numbers, the smaller number lies farther left on the number line; therefore, point A is farthest left. Exam tip: When comparing negative numbers, the one with the greater absolute value is the smaller number.

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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