Rational and Irrational Numbers Worksheet

Determine if the statement is sometimes true, always true, or never true.

the sum of a rational number and an irrational number is irrational.

Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true

Which of the following could be both a rational number and irrational number?

• the sum of a rational number and an irrational number

• the product of two irrational numbers

• the product of a rational number and an irrational number

• the quotent of a rational number and an irrational number

• rational

• irrational

Identify the irrational number from the list below.

• Rational

• Irrational

√2+√4

• rational

• irrational

Is this number rational or irrational?

• Rational number

• Irrational number

Is this number rational or irrational?

• Rational Number

• Irrational Number

Is this number rational or irrational?

• Rational Number

• Irrational Number

• rational

• irrational