Classifying Numbers: Whole, Integer, Rational, and Irrational

What defines a rational number?

• A number that can be expressed as the fraction of two integers

• A number that has a repeating decimal sequence

• A number that cannot be expressed as a fraction

• A number that only consists of integers

Which of the following is an example of an integer?

• 22/7

• -5

• Square root of 10

• 0.25

What category does -5 fall into?

• Irrational number

• Rational number

• Whole number

• Non-integer

Is 0.25 considered a rational number?

• Yes, because it can be expressed as a fraction

• No, because it is a decimal

• Yes, because it is an integer

• No, because it cannot be expressed as a fraction

Is 0.2713 (with 13 repeating) a rational number?

• Yes, because its decimal sequence repeats

• No, because it is a decimal

• Yes, because it is a whole number

• No, because it cannot be expressed as a fraction

What makes a number irrational?

• It cannot be expressed as a fraction of two integers

• It is a non-negative integer

• It is a whole number

• It can be expressed as a fraction of two integers

Can the square root of 10 be classified as a rational number?

• Yes, because it can be expressed as a fraction

• No, because it is a whole number

• No, because it cannot be expressed as a fraction of two integers

• Yes, because it is an integer

Which of the following numbers is a whole number?

• 0.25

• Two-pi

• 14/7

• -5

What does 14 over 7 simplify to?

• A rational number

• An irrational number

• A whole number

• An integer

What is the classification of pi over pi?

• Integer

• Whole number

• Irrational number

• Rational number