Final answer:
To round 134.76821 to the nearest hundredth, you increase the second decimal place by one because the third decimal place is 8, resulting in 134.77. option B is correct answer.
Step-by-step explanation:
To round the number 134.76821 to the nearest hundredth, look at the third decimal place, which is the thousandths place. If this number is 5 or greater, you round up the second decimal place; if it's less than 5, you leave the second decimal place as it is. The third decimal place in 134.76821 is an 8, which is greater than 5, so you round up the second decimal place from a 6 to a 7. Therefore, when rounded to the nearest hundredth, 134.76821 becomes 134.77.
Example: When adding two numbers like 137.3 (keeping in mind it represents the tenths place) and 70.90 (representing hundredths place), the sum is 208.20. However, because 137.3 is the least precise with only one decimal place, the final answer should also be rounded to the tenths place, giving us 208.2.