Question

Why is the product of two rational numbers always rational?

a) Because the sum of two rational numbers is always rational.
b) Because the product of two integers is always rational.
c) Because rational numbers can be expressed as fractions, and the product of fractions is still a fraction.
d) Because irrational numbers cannot be multiplied by rational numbers.

Answer 1

The product of two rational numbers is always rational because rational numbers can be expressed as fractions and the product of fractions is still a fraction.

Step-by-step explanation:

The product of two rational numbers is always rational because rational numbers can be expressed as fractions, and the product of fractions is still a fraction. When you multiply two rational numbers, you are essentially multiplying the numerators and denominators separately. Since the product of two integers is always rational, and rational numbers can be written as fractions, the product of two rational numbers is also rational.