Rational vs Irrational Numbers

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

• Sometimes True

• Always True

• Never True

The sum of 2 rational numbers is rational

• Sometimes True

• Always True

• Never True

The product of a rational number and an irrational number is irrational

• Sometimes True

• Always True

• Never True

The sum of two irrational numbers is irrational

• Sometimes True

• Always True

• Never True

The product of two rational numbers is irrational

• Sometimes True

• Always True

• Never True

The product of two irrational numbers is irrational

• Sometimes True

• Always True

• Never True

Why is the product of a rational number and an irrational number irrational sometimes true? read carefully

• If 0 is your rational number, then 0* (irrational number) will be 0, a rational number. While the product of a non-zero rational number* an irrational number is irrational

• If 1 is your rational number, then 1* (irrational number) will be the same number, but a rational number. While the product of a irrational number* an irrational number is irrational

Why is the sum of a 2 irrational numbers irrational sometimes true? read carefully

• If your irrational numbers are opposites, they will equal 0, which is a rational number

• If your irrational numbers are opposites, they will equal 100, which is a rational number

• If your irrational numbers are the same, they will equal 0, which is a rational number

• If your irrational numbers are the same, they will equal 100, which is a rational number

Why is the product of a 2 rational numbers irrational never true? read carefully

• A rational number * a rational number WILL give you another rational number. Ex. 5*2=10, 10*2=20

• It's a trick question, 2 rational number sometimes are irrational and sometimes rational

• A rational number * a rational number WILL give you an irrational number. Ex. 5*2.5= a non perfect square