Rational and Irrational Numbers

What is the primary characteristic of a rational number?

• It is always a whole number.

• It can be written as a fraction where both the numerator and denominator are integers, and the denominator is not zero.

• Its decimal form never terminates and never repeats.

• It can only be a positive number.

Which of the following numbers is a rational number?

• The square root of 3

• 0.3 (with a bar over the 3, indicating it repeats)

• Pi (π)

• A decimal that goes on forever without a repeating pattern

When writing a rational number as a fraction, what is a crucial condition for the denominator?

• It must be a positive integer.

• It must be a negative integer.

• It cannot be zero.

• It can be any real number.

Which of the following numbers is rational?

• 0.181818...

• Square root of 3

• Pi (π)

• 0.1234567...

Which of these numbers is irrational?

• Square root of 25

• 0.25

• 0.333...

• Square root of 3