Fundamentals of Mathematics, 2008a

351
(2b) The digit immediately to the right is 6, and 6 > 5, so we add 1 to the round-o digit:
1 + 1 = 2
(3a) The round-o digit is to the right of the decimal point, so we eliminate all digits to its right.
32.12
The number 32.116 rounded to the nearest hundredth is 32.12.
Example 6.16
Round 633.14216 to the nearest hundred.
(1)
(2a) The digit immediately to the right is 3, and 3 < 5 so we leave the round-o digit unchanged.
(3b) The round-o digit is to the left of 0, so we replace all the digits between it and the decimal
point with zeros and eliminate the decimal point and all the decimal digits. 600
The number 633.14216 rounded to the nearest hundred is 600.
Example 6.17
1,729.63 rounded to the nearest ten is 1,730.
Example 6.18
1.0144 rounded to the nearest tenth is 1.0.
Example 6.19
60.98 rounded to the nearest one is 61.
Sometimes we hear a phrase such as "round to three decimal places." This phrase means that the round-o
digit is the third decimal digit (the digit in the thousandths position).
Example 6.20
67.129 rounded to the second decimal place is 67.13.
Example 6.21
67.129558 rounded to 3 decimal places is 67.130.
6.4.2.2 Practice Set A
Round each decimal to the specied position.
Exercise 6.4.1 (Solution on p. 406.)
4.816 to the nearest hundredth.
Exercise 6.4.2 (Solution on p. 406.)
0.35928 to the nearest ten thousandths.
Exercise 6.4.3 (Solution on p. 406.)
82.1 to the nearest one.
Exercise 6.4.4 (Solution on p. 406.)
753.98 to the nearest hundred.
Exercise 6.4.5 (Solution on p. 406.)
Round 43.99446 to three decimal places.
Exercise 6.4.6 (Solution on p. 406.)
Round 105.019997 to four decimal places.
Exercise 6.4.7 (Solution on p. 406.)
Round 99.9999 to two decimal places.
Available for free at Connexions