Final answer:
Rounding 0.0097 to the nearest hundredth results in 0.01 because you round up the hundredths place from 0 to 1, due to the thousandths place digit being 7, which is greater than 5.
Step-by-step explanation:
To round the number 0.0097 to the nearest hundredth, you need to look at the third decimal place (which is the thousandths place). The number in the thousandths place is 9, which is greater than 5. Therefore, you would round up the number in the hundredths place (which is currently 0) by one. Since there is no value in the hundredths place to increase, it simply becomes 0.01 when rounded to the nearest hundredth.
To illustrate, here's the process:
- Identify the digit in the hundredths place: 0.00097.
- Look at the next digit to the right (the thousandths place): 0.0097.
- Since 7 is greater than 5, round up the hundredth's place by 1.
- The rounded number is 0.01.