Repeating Decimals

The video tutorial explains rational numbers, which can be expressed as fractions. It covers how rational numbers appear in decimal form, either terminating or repeating. Terminating decimals end after a finite number of digits, while repeating decimals have a recurring pattern. The video also distinguishes between rational and irrational numbers, highlighting that irrational numbers, like pi, continue infinitely without repeating. The lesson concludes by teaching how to identify and differentiate between these types of decimals.

What is a rational number?

• A number that can be written as a fraction with a non-zero denominator

• A number that cannot be expressed as a fraction

• A number that continues infinitely without repeating

• A number that is always an integer

Which of the following is a characteristic of a terminating decimal?

• It is always greater than 1

• It has a repeating pattern

• It ends after a finite number of digits

• It cannot be expressed as a fraction

How do you represent a repeating decimal?

• By underlining the repeating digits

• By using parentheses around the repeating digits

• By writing it in bold

• By putting a line over the repeating pattern

What is an example of a repeating decimal?

• 3.14

• 0.333...

• 0.5

• 1.25

Which of the following is an irrational number?

• 1/2

• Pi

• 0.75

• 0.333...