Exploring Sets of Numbers and Number Lines

What are the two main categories that real numbers split into?

• Whole numbers and natural numbers

• Decimals and fractions

• Integers and fractions

• Rational numbers and irrational numbers

Which of the following is a characteristic of a rational number?

• It can be written as a fraction

• It is always an integer

• It has a non-repeating, non-terminating decimal

• It cannot be written as a fraction

Which of the following is an example of a rational number?

• 0.333... (repeating)

• √2 (square root of 2)

• √5 (square root of 5)

• π (pi)

Which set of numbers includes zero?

• Natural numbers

• Whole numbers

• Irrational numbers

• Imaginary numbers

What is the relationship between integers and rational numbers?

• All integers are rational numbers

• All rational numbers are integers

• Integers and rational numbers are the same

• Integers are not rational numbers

Which of the following is NOT a natural number?

• 7

• 1

• 5

• 0

What is a defining characteristic of an irrational number?

• It can be written as a fraction

• It is always a whole number

• It has a repeating decimal

• It has a non-repeating, non-terminating decimal

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

• 2

• π (pi)

• 0.75

• 1/3

Where would you place the number 4/5 on a number line?

• Between 1.5 and 2

• Between 1 and 1.5

• Between 0.5 and 1

• Between 0 and 0.5

How should you label numbers on a number line?

• Using their decimal equivalents

• Using their original forms

• Using fractions only

• Using mixed numbers