Question

What is 3/13 expressed as a decimal?

a) 0.230769, Non - terminating
b) 0.230769, repeating
c) 0.230769, Non-repeating
d) None of the above

Answer 1

The fraction 3/13 as a decimal is 0.230769, with the digits '230769' repeating indefinitely. Therefore, the correct answer is option b) 0.230769, repeating.

Step-by-step explanation:

The fraction 3/13 expressed as a decimal is 0.230769, with the digits '230769' repeating indefinitely. To convert a fraction to a decimal, you divide the numerator by the denominator. In this example, if you divide 3 by 13 using long division, you'll find that the quotient is a repeating decimal. The correct way to represent this repeating decimal is by using a bar over the repeating part. However, for our purposes here, we can represent the repeating nature by stating it in words:

b) 0.230769, repeating.