Rational vs Irrational Numbers Explained

The video tutorial explains the difference between rational and irrational numbers. It covers how rational numbers can be expressed as fractions, including integers, repeating decimals, and terminating decimals. The tutorial also defines irrational numbers, which cannot be expressed as fractions and lack repeating patterns, using examples like pi and the square root of two. It provides a step-by-step guide to determine if a number is rational or irrational.

Which of the following is a rational number?

• √2

• 1.4142135...

• π

• 0.75

What type of decimal is 0.333...?

• Irrational

• Non-repeating

• Repeating

• Terminating

Which of the following is a repeating decimal?

• √2

• 1.8

• 0.666...

• 0.4

What is the classification of 1.8?

• Non-repeating Decimal

• Repeating Decimal

• Terminating Decimal

• Irrational Number

Which of the following numbers is irrational?

• 0.4

• π

• 0.75

• 3/4

Why is π considered an irrational number?

• It has no repeating pattern

• It repeats

• It terminates

• It can be written as a fraction

What is the first step to determine if a number is rational?

• Check if it is an integer

• Check if it terminates

• Check if it is a fraction

• Check if it repeats

If a decimal does not terminate and does not repeat, it is:

• Rational

• Terminating

• Repeating

• Irrational

Which of the following is a rational number?

• √2

• 1.4142135...

• 0.333...

• π

What is the classification of the square root of 16?

• Repeating

• Irrational

• Rational

• Terminating