Exploring Rational and Irrational Numbers

The video tutorial explains the difference between rational and irrational numbers. Rational numbers can be expressed as fractions, including integers, terminating decimals, repeating decimals, and perfect squares. Irrational numbers cannot be expressed as fractions and include non-perfect squares and non-repeating, non-terminating decimals. The tutorial provides examples to illustrate these concepts, emphasizing the importance of understanding the characteristics of each type of number.

What is the key concept to remember when distinguishing rational numbers?

• Integer

• Ratio

• Square root

• Decimal

Which of the following is a rational number?

• 3/4

• Pi (π)

• Square root of 2

• 2.71828...

Which type of decimal is considered a rational number?

• A decimal that changes randomly

• A decimal with no pattern

• A decimal that ends

• A decimal that goes on forever and never repeats

What is an example of a repeating decimal?

• 2.6

• Square root of 48

• 3.14159...

• 2.444...

Which of the following is an integer?

• Square root of 2

• 2.5

• Pi (π)

• 10

What is a perfect square?

• A number that can be written as a fraction

• A number that goes on forever

• A number that repeats

• A number that is a square of an integer

Which of the following is a non-perfect square?

• Square root of 64

• Square root of 48

• Square root of 49

• Square root of 36

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

• Square root of 48

• 10

• 3/4

• 2.6

What is the most common example of a decimal that goes on forever and never repeats?

• 2.444...

• 3.14159...

• 2.6

• Square root of 36

Is the number -2564 rational or irrational?

• Rational

• Irrational

• Neither

• Both