Question

When finding the decimal expansion of the number below, where do the first alike digits occur? 73/15

A) After the decimal point
B) There are no alike digits
C) Before the decimal point
D) At the end of the expansion

Answer 1

The first alike digits in the decimal expansion of 73/15 occur after the decimal point, as the division results in a repeating decimal with '6' as the repeating digit.

Step-by-step explanation:

When finding the decimal expansion of the number 73/15, we start by dividing 73 by 15. This calculation would result in a decimal number. To determine where the first alike digits occur, we would look at the digits after the decimal point. Since the question is a bit confusing with respect to what 'alike digits' mean, usually it refers to a repeating pattern or the first occurrence of the same digit in a sequence. If we perform the division of 73 by 15, we find that the quotient is 4.8666..., with the number '6' repeating indefinitely after the decimal point. Therefore, the first alike digits (repeating '6's) occur after the decimal point.

Based on the options provided in the original question, the correct answer would be A) After the decimal point.