Real and Irrational Numbers Explained

What are the two main categories of real numbers?

• Whole and Natural

• Rational and Irrational

• Even and Odd

• Prime and Composite

Which of the following is a characteristic of rational numbers?

• They either terminate or repeat

• They never repeat

• They are always whole numbers

• They never terminate

Why is the number 4.7 considered rational?

• It is a fraction

• It repeats

• It terminates

• It is a whole number

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

• 3.14

• 4.7

• 3.686868...

• 2.5

What does a bar over a number indicate?

• The number is a fraction

• The number terminates

• The number is irrational

• The number repeats

Which of the following is true about irrational numbers?

• They are always whole numbers

• They do not terminate and do not repeat

• They repeat

• They terminate

What is the most common example of an irrational number?

• 1.5

• 2

• 3.14

• Pi

Why is the number pi considered irrational?

• It does not terminate and does not repeat

• It is a whole number

• It terminates

• It repeats

Which of the following statements is true?

• All real numbers are irrational numbers

• All whole numbers are irrational numbers

• All irrational numbers are rational numbers

• All rational numbers are real numbers

What is the key difference between rational and irrational numbers?

• Rational numbers are always whole numbers

• Irrational numbers terminate

• Rational numbers either terminate or repeat, while irrational numbers do neither

• Irrational numbers are always fractions