To round the number 29.675 to the hundredths place, look at the third decimal place (the thousandths place), which is 5. Since it is 5 or greater, you round the hundredths place up.
The hundredths place in 29.675 is 7. Therefore, you add 1 to 7, resulting in 8.
So, 29.675 rounded to the hundredths place is 29.68.