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Which coordinate represents \(\frac{\sqrt{121}-4}{7}\) on the number line?

Answer and explanation

Correct answer: \(1\)

Evaluate the square root first: \(\sqrt{121}=11\). Thus, \(\frac{\sqrt{121}-4}{7}=\frac{11-4}{7}=\frac{7}{7}=1\). Therefore, the corresponding coordinate on the number line is \(1\). Option D results from dividing only 4 by 7 and ignores the subtraction involving \(\sqrt{121}\). Exam tip: follow the order of operations—evaluate the square root, simplify the numerator, and then divide.

Related tags

PolynomialsNumber LineReal NumbersOrder Of OperationsRepresenting Real Numbers On The Number LineMathematicsClass 10 Mcq

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