Convert to base ten.

A. 42
B. 27
C. 22
D. 47

To convert to base ten, you can break it down using the place values of base five. The digit “4” is in the “fives” place, and “2” is in the “ones” place. So, it can be calculated as follows:

.

So, in base ten is .

The correct answer is C. 22.

Did you know that different number systems have unique ways of representing values? For example, the binary system (base two) uses only “0” and “1,” while hexadecimal (base sixteen) expands to include letters! This variety allows computers and other applications to efficiently process data in different formats.

Also, converting between bases isn’t just nerdy fun! It’s practical too! You’ll find it useful in programming and digital electronics, where different base systems are commonly applied. Understanding how to switch between these systems can enhance problem-solving skills in tech-related fields!