Which number lies between 2 and 3 on the number line?
Answer and explanation
Correct answer: 2.5
The governing concept is the order of real numbers on a number line. A number lies between 2 and 3 when it is greater than 2 and less than 3, that is, when 2 < x < 3. For option A, 2 < 2.5 < 3, so 2.5 is located to the right of 2 and to the left of 3. Option B, 3.5, is greater than 3; option C, 1.5, is less than 2; and option D, 4.5, is also greater than 3. Therefore, only option A satisfies both required inequalities and is the unambiguous answer.
Frequently asked questions
What is the correct answer to this question?
2.5
Why is this the correct answer?
The governing concept is the order of real numbers on a number line. A number lies between 2 and 3 when it is greater than 2 and less than 3, that is, when 2 < x < 3. For option A, 2 < 2.5 < 3, so 2.5 is located to the right of 2 and to the left of 3. Option B, 3.5, is greater than 3; option C, 1.5, is less than 2; and option D, 4.5, is also greater than 3. Therefore, only option A satisfies both required inequalities and is the unambiguous answer.
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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
