Question

Which of the following is NOT a rational number located on the number line between -5 and 5?

A. 1.5
B. √2
C. -3
D. 2/3

Answer 1

Option B, √2, is the correct answer because it is not a rational number, although it lies between -5 and 5 on the number line.

Step-by-step explanation:

The question asks which option is NOT a rational number between -5 and 5. We'll examine each option:

1. 1.5 is a decimal equivalent to the fraction 3/2, which is a rational number.
2. √2 is an irrational number because it cannot be expressed as a fraction of two integers. It is approximately 1.41, which lies between -5 and 5, but it is not a rational number.
3. -3 is an integer, and all integers are rational numbers because they can be expressed as a fraction (in this case, -3/1).
4. 2/3 is clearly a fraction of two integers and is therefore a rational number.

So the correct answer is B. √2 because it is not a rational number, although it is located on the number line between -5 and 5.