Rational Irrational Operations

If a and b, represent rational numbers, then a + b will have _______________ sum.

• Rational

• Irrational

• Rational

• Irrational

• 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.

The product of a rational number and a rational number is rational.

• Always true

• Sometimes true

• Never true

The sum of a rational number and a rational number is rational.

• Always true

• Sometimes true

• Never true

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

• Always true

• Sometimes true

• Never true

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

• Always true

• Sometimes true

• Never true

-6 + -7

• -13

• 13

• 1

• -1

A rational number is...

• A number that can be written as a fraction where the denominator cannot equal 0

• Integers

• Repeating Decimals

• All of the above