True or False? Each of these numbers is a rational number?

Question

-3.83

17/7

0.076

-18 5/6

Answer 1

false, 17/7 is an irrational.

Answer 2

A rational number is one that can be written as the ratio of two integers. That is, it is a fraction p/q where p and q are both integers and q is not zero. Another equivalent way to say this is that a rational number has a decimal expansion that ends or that has a repeating pattern. (It is not hard to prove that these two ways of defining a rational number are truly equivalent.)

Therefore, all the examples you have above are rational.

Some irrational numbers you may be familiar with include pi and the square root of 2. Neither of these can be written as a fraction of integers, and the decimal expansion of each never ends and doesn't repeat.

Answer 3

True. Every fraction or decimal that ends or repeats is rational.