Which statement is true when a rational number in fractional form is converted to a decimal? i. the decimal repeats. ii. the decimal terminates.

The answer is (iii) Either the decimal repeats or terminates.

Step-by-step explanation:

We are familiar with the theory of rational and irrational numbers.

When a rational number is converted to decimal form, then either the digits after the decimals repeats themselves or the decimal terminates.

For example, the fraction 10/3 = 3.333333 . . ., which is rational. Here digits are repeating. And the fraction 5/4=1.25, which terminates.  These are the two decimal forms of rational numbers.

In the decimal form of an irrational number, digits after the decimal are non-repeating and  non-recurring.

For example, √3 = 1.73205080757 . . .. This is the only decimal form of irrational numbers.

Thus, the correct option is (iii) Either the decimal repeats or terminates.

step-by-step explanation: