Question

Perform any indicated operation. Round the result to the nearest tenth and then to the nearest hundredth. $$ -7.895+4.929 $$

Short answer

-3.0 and -3.00 as answers rounded to the nearest tenth and hundredth respectively

Step-by-step solution

Convert the negative number into a positive number

Since the operation involves a negative number, we first convert this into a positive number so we can clearly identify the numbers we are working with. This gives us \( -7.895 \) is the same as \( -1 \times 7.895 \).

Performing the addition

Next, we must add this number to 4.929. This results in \( -1 \times 7.895 + 4.929 \). Computing this gives us \( -2.966 \)

Rounding off to the nearest tenth

Here, we are now rounding off our answer to the nearest tenth. The tenth place in our answer is 9. Since the next number is 6 ( which is greater than 5), we round up the tenth place by one, resulting to \( -3.0 \)

Rounding off to the nearest hundredth

Lastly, we round off our answer to the nearest hundredth. Since the number after the hundredth place is 6 (which is more than 5), we round up the number at the hundredth place by one. The final answer is then \( -3.00 \)