Real Number System Rational and Irrational

Rational and irrational numbers are both part of the set of _____ numbers.

• real

• natural

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• irrational

• rational

• integer

• whole number

• natural number

• Rational

• Irrational

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

• always

• sometimes

• never

• always

• sometimes

• never

• irrational

• rational

• integer

• whole number

• natural number

• irrational

• rational

• integer

• whole number

• natural number

• irrational

• rational

• integer

• whole number

• natural number