Final answer:
65/8 rounded to the nearest tenth is 8.1. The number is rounded down because the hundredths place digit is less than 5.
Step-by-step explanation:
To round 65/8 to the nearest tenth, first perform the division: 65 ÷ 8 equals 8.125. Since we want to round this to the nearest tenth, we look at the hundredths place, which in this case, is 2. Because the hundredths digit is less than 5, we do not round up the tenths digit. Therefore, 65/8 rounded to the nearest tenth is 8.1.
It's important to understand the concept of rounding numbers in mathematics, especially when it comes to precision. When rounding to the tenths place, we only keep one decimal place and adjust it accordingly if the following digit (hundredths place) is 5 or greater. The key to rounding is understanding which digit to look at and whether to round up or maintain the current number.
For example, if we consider the number 59.35, the digit in the tenths place is 3. If we were to round this number to the tenths place, we would also arrive at 59.3, as the hundredths digit, 5, indicates that we should round up the tenths digit.