# Is 9.0832748175... a rational number?

The answer depends on what he ellipsis represents.

### Why the product of nonzero rational number and a rational number is an irrational?

Actually the product of a nonzero rational number and another rational number will always be rational. The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

### Classify the following number as rational or irrational 0.444444?

The number 0.444444 is a rational number. It is equivalent to 111111/250000, which, by definition of rational numbers, is rational. The number 0.444... (repeating) is also rational because it can be represented by the fraction 4/9. The number 0.444444 is a rational number because a rational number is a nnumber that can be expressed in the form of a fraction.