Rounding to the nearest number or value involves these steps:
(1) Determine the PLACE you want to round to (tenths,
No problem was given in
hundredths, etc. -- call it the "place value to be retained)."
(2) Locate the digit in that place value (call this the "digit to be
(3) Either leave that digit unchanged (round down) or increase
that digit by 1 (round up) using these rules.
(a) Locate the digit directly to the right of the digit to be
(b) If that digit less than 5 (that is, a 0, 1, 2, 3, or 4), leave
the digit to be rounded unchanged.
(c) If that digit is 5 or more (that is, a 5, 6, 7, 8, or 9),
increase the digit to be rounded by one (1).
(4) Once you have rounded up or down, drop all of the digits to
the right of the place value to be retained (the rounded digit).
For example, round 28.034697 to the nearest thousandth.
a. What is the digit in the place value to be retained?
b. What is the digit to the immediate right of that digit?
c. Based upon the information in "b," should the digit in the place
value to be retained be left unchanged or be increased by 1?
d. What is 26.034697 rounded to the nearest thousandth?