Which statement is correct on the number line?
Answer and explanation
Correct answer: (-\sqrt{2}) is to the left of 0
The governing concept is the order of real numbers on a number line: negative numbers lie to the left of zero, while positive numbers lie to its right. Since \sqrt{2} is a positive irrational number, -\sqrt{2} is negative and therefore must be located to the left of 0. Thus option C is correct. Option A reverses the direction for a negative number. Option B reverses the direction for a positive number, and option D is false because \sqrt{2} is approximately 1.414, not 2. The sign alone is sufficient to decide the position here.
Frequently asked questions
What is the correct answer to this question?
(-\sqrt{2}) is to the left of 0
Why is this the correct answer?
The governing concept is the order of real numbers on a number line: negative numbers lie to the left of zero, while positive numbers lie to its right. Since \sqrt{2} is a positive irrational number, -\sqrt{2} is negative and therefore must be located to the left of 0. Thus option C is correct. Option A reverses the direction for a negative number. Option B reverses the direction for a positive number, and option D is false because \sqrt{2} is approximately 1.414, not 2. The sign alone is sufficient to decide the position here.
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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