Question

Which of the following cannot be represented on a number line?

Options

• Fractions

• Irrational numbers

• Imaginary numbers

• Non-terminating decimals

Answer 1

Imaginary numbers

Explanation:

Step 1: Recall which numbers can be represented on a number line

• Fractions: Yes, because they are rational numbers `("e.g.", 1/2, 3/4)` and lie between integers. 
• Irrational numbers: Yes, because they also exist on the real number line (e.g., `sqrt(2), π`). 
• Non-terminating decimals: If they are recurring or irrational non-repeating, they are still real numbers, so they can be placed on the number line. 
• Imaginary numbers: These belong to the complex number system and are not part of the real number line. They cannot be represented on the standard number line.