Business Mathematics Brief 12th Edition by Stanley Salzman ,Gary Clendenen, Charles Miller

Exercise 217

Round each of the decimals to the nearest tenth, the nearest hundredth, and the nearest thousandth. Remember to use the original number each time before rounding. (See Examples.)
Rounding Decimal Numbers
Round each as indicated.
(a) 87.562 to the nearest tenth
(b) 3678.5928 to the nearest hundredth
SOLUTION
(a) Step 1 Locate the tenths place and put a vertical line immediately to the right.

Step 2 The number to the right of the line is 6, which is in the category of 5 or more. Therefore, round the 5 in the tenths place up to 6.
Step 3 Drop all digits to the right of the tenths place.
87.562 rounded to the nearest tenth is 87.6.
(b) Step 1 Locate the hundredths place and put a vertical line to the right.
3678.59|28
Step 2 The The number to the right of the line is 2, or less than 5. Therefore, leave the 9 as it is in the hundredths place.
Step 3 Drop all digits to the right of the hundredths place.
3678.5928 rounded to the nearest hundredth is 3678.59.
Rounding 3678.5928 to the nearest tenth would result in 3678.6, and rounding it to the nearest whole number would result in 3679.
Rounding the Same Decimal Number to Different Places
Round 24.998 to the nearest
(a) hundredth,
(b) tenth, and
(c) whole number.
Quick TIP
Always refer back to the original number before rounding.
SOLUTION
Use the method just described.
(a) 24.998 rounded to the nearest hundredth is 25.00.
(b) 24.998 rounded to the nearest tenth is 25.0.
(c) 24.998 rounded to the nearest whole number is 25.
Interestingly, in this particular situation all three round to the same number. However, that will usually not be the case.