Lesson 03: Rational and Irrational Numbers | Unit 8: Pythagorean Theorem and Irrational Numbers

Multiple Choice

Decide whether the number $$\frac {\text{-}13}{3}$$ is rational or irrational.

• Rational

• Irrational

Multiple Choice

Decide whether the number $$0.1234$$ is rational or irrational.

• Rational

• Irrational

Multiple Choice

Decide whether the number $$\sqrt{37}$$ is rational or irrational.

• Rational

• Irrational

Multiple Choice

Decide whether the number $$\text{-} 77$$ is rational or irrational.

• Rational

• Irrational

Multiple Choice

Decide whether the number $$\text{-} \sqrt{100}$$ is rational or irrational.

• Rational

• Irrational

Multiple Choice

Decide whether the number $$\text{-} \sqrt{12}$$ is rational or irrational.

• Rational

• Irrational

Multiple Choice

Which value is an exact solution of the equation $$m^2=14$$ ?

• 7

• $$\sqrt{14}$$

• 3.74

• $$\sqrt{3.74}$$

Multiple Select

Select all the irrational numbers in the list.

• $$\frac {\text{-}123}{45}$$

• $$\sqrt{64}$$

• $$\sqrt{14}$$

• $$\frac23$$

• $$-\sqrt{99}$$

Multiple Choice

Which is the best explanation for why $$-\sqrt{10}$$ is irrational?

• $$-\sqrt{10}$$ is irrational because it is a square root.

• $$-\sqrt{10}$$ is irrational because it is less than zero.

• $$-\sqrt{10}$$ is irrational because it is not a whole number.

• $$-\sqrt{10}$$ is irrational because it cannot be written as a positive or negative fraction.

Open Ended

Give an example of a rational number, and explain how you know it is rational.