Which value lies between -√12 and -17/5 on the number line?
Answer and explanation
Correct answer: -3.43
First approximate both endpoints carefully. Since √12 is approximately 3.4641, -√12 is approximately -3.4641. Also, -17/5 equals -3.4 exactly. On a number line, the number -3.4641 is to the left of -3.4, so a value between them must be greater than -3.4641 and less than -3.4. The value -3.43 satisfies -3.4641 < -3.43 < -3.4, so option B is correct. Option A, -3.30, is to the right of -3.4; option C, -3.60, is left of -3.4641; and option D, -3.20, is also to the right. Careful ordering of negative numbers is essential because the number closer to zero is larger.
Frequently asked questions
What is the correct answer to this question?
-3.43
Why is this the correct answer?
First approximate both endpoints carefully. Since √12 is approximately 3.4641, -√12 is approximately -3.4641. Also, -17/5 equals -3.4 exactly. On a number line, the number -3.4641 is to the left of -3.4, so a value between them must be greater than -3.4641 and less than -3.4. The value -3.43 satisfies -3.4641 < -3.43 < -3.4, so option B is correct. Option A, -3.30, is to the right of -3.4; option C, -3.60, is left of -3.4641; and option D, -3.20, is also to the right. Careful ordering of negative numbers is essential because the number closer to zero is larger.
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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