Final answer:
The value of 5 in the hundredths place is 1/10 the value of 5 in the ones place, with the correct answer being option B: 1/10.
Step-by-step explanation:
The correct answer is option B: 1/10. In our decimal system, each place to the right of the decimal represents a power of one-tenth of the place to its left. Therefore, if we have the number 5 in the ones place, it has a value of 5, but if we have the number 5 in the hundredths place, its value is 5/100 or 0.05. To compare the value of 5 in the hundredths place with the value of 5 in the ones place, we see that 0.05 is one-tenth of 5, meaning that the value of 5 in the hundredths place is one-tenth the value of the 5 in the ones place.
The value of 5 in the hundredths place is 1/100 times the value of 5 in the ones place.
To understand this, we need to consider the place value system. The hundredths place is two places to the right of the decimal point, while the ones place is two places to the left of the decimal point. When we compare the two places, we find that the hundredths place is 1/100 times smaller than the ones place.
For example, if we have 0.05, the 5 in the hundredths place is 1/100 times smaller than the 5 in the ones place.