Properties of Rational and Irrational Numbers

√25

• Rational

• Irrational

√7

• Rational 

• Irrational

What happens when you add a rational number and irrational number together?

• You get a rational answer

• You get an irrational answer

• (1)

• (2)

• (3)

• (4)

Let x be a nonzero rational number and y be an irrational number. Which of these expressions MUST be a rational number?

• y + 0

• x + x

• x + y

• y + y

• 0

4. The product of a rational and irrational number is

• (a) rational

• (b) irrational

• (c) both of above

• (d) none of above

Which statement is not always true?

• The product of two irrational numbers is irrational.

• The product of two rational numbers is rational.

• The sum of two rational numbers is rational.

• The sum of a rational number and an irrational number is irrational.

The sum of a rational and irrational number is

• (a) rational

• (b) irrational

• (c) both of above

• (d) none of above

True or False
The difference of a rational number and an irrational number is always an irrational number.

• True

• False