To round a number to a certain place value,
check the digit one place value to the right.
If that digit is less than five, round down.
If that digit is five or more, round up.
PLACE VALUE CHART
thousands 

hundreds 
tens 
ones 

tenths 
hundredths 
thousandths 
1  ,  2  3  4  . 
5  6  7 
To round to the tenths place, check the digit in the hundredths place.
If that digit is less than five, round down.
If that digit is five or more, round up.
The digit in the hundredths place is 5, so round up to 93.5.
To round to the hundredths place, check the digit in the thousandths place.
If that digit is less than five, round down.
If that digit is five or more, round up.
The digit in the thousandths place is 7, which is greater than five.
So, round up to 57.59.