Classifying Rational Numbers: Key Concepts and Techniques

What is the main goal of today's lesson?

• To practice addition and subtraction

• To recognize if a number is rational or not

• To understand fractions

• To learn about irrational numbers

Which of the following is a rational number?

• A number that is always a whole number

• A number that is always an integer

• A number that can be expressed as a fraction

• A number that cannot be expressed as a fraction

Where would you place 1.5 on the number line?

• Between -1 and 0

• Between 2 and 3

• Between 0 and 1

• Between 1 and 2

What does it mean for a decimal to be terminating?

• It repeats a pattern

• It is always a whole number

• It stops after a finite number of digits

• It goes on forever without repeating

Which of the following is an example of a repeating decimal?

• 1.7213684

• 2.333...

• 3.25

• 2.3

What makes a number irrational?

• Its decimal representation repeats

• Its decimal representation terminates

• Its decimal representation neither terminates nor repeats

• It can be expressed as a fraction

Is -2.6 a rational or irrational number?

• Both

• Rational

• Irrational

• Neither

Why is 0.5 repeating considered a rational number?

• Because it is a whole number

• Because it is an integer

• Because it repeats in a pattern

• Because it terminates

Which of the following is an irrational number?

• 2.11331144

• 1.23 with 2 3 repeating

• 0.5 repeating

• Negative 2.6

What is the characteristic of a rational number's decimal representation?

• It terminates or repeats

• It is always a whole number

• It neither terminates nor repeats

• It is always an integer