Classifying Numbers: Key Concepts and Techniques

Which of the following is a natural number?

• 1.5

• -1

• 0

• 3

What is the main difference between whole numbers and natural numbers?

• Whole numbers include zero

• Natural numbers include zero

• Whole numbers include negatives

• Natural numbers include negatives

Which of the following is an integer?

• 0.5

• 1.1

• √2

• -3

Which of these numbers is a rational number?

• π

• √2

• e

• 4.1111...

What defines a rational number?

• A number that is always positive

• A number that is always negative

• A number that can be written as a fraction

• A number that cannot be written as a fraction

Which of the following is an irrational number?

• 3.75

• 4.1111...

• π

• √16

What is a characteristic of irrational numbers?

• They can be written as fractions

• They have repeating decimals

• They have non-repeating, non-terminating decimals

• They are always negative

In the number classification diagram, which group is the largest?

• Natural numbers

• Whole numbers

• Integers

• Rational numbers

If a number is a natural number, it is also a:

• Integer

• Whole number

• All of the above

• Rational number

What type of number is the square root of 12?

• Irrational number

• Natural number

• Whole number

• Rational number