Understanding Irrational Numbers

The video tutorial explains the difference between rational and irrational numbers. Rational numbers can be expressed as fractions with integers, while irrational numbers cannot. Irrational numbers are represented by symbols like the dot dot dot, square roots of non-perfect squares, and pi. The video provides examples and practice exercises to help identify irrational numbers.

Which of the following is a characteristic of a rational number?

• It is always a whole number.

• It can be expressed as a fraction of two integers.

• Its decimal form never repeats.

• It cannot be expressed as a fraction.

What does the 'dot dot dot' symbol indicate in a decimal number?

• The decimal terminates.

• The decimal repeats.

• The decimal continues forever without repeating.

• The decimal is a whole number.

Which of the following is an example of an irrational number?

• 3.14

• Square root of 5

• 8.2 repeating

• Square root of 16

Why is pi considered an irrational number?

• It can be expressed as a fraction.

• Its decimal form terminates.

• Its decimal form repeats.

• Its decimal form goes on forever without repeating.

Which of the following expressions is irrational?

• 3 pi

• Pi over 2

• Neither 3 pi nor Pi over 2

• Both 3 pi and Pi over 2