Fundamentals of Mathematics, 2008a

350 CHAPTER 6. DECIMALS
6.3.4.1 Exercises for Review
Exercise 6.3.39 (Solution on p. 405.)
(Section 3.6) Find the greatest common factor of 70, 182, and 154.
Exercise 6.3.40
(Section 3.6) Find the greatest common multiple of 14, 26, and 60.
Exercise 6.3.41 (Solution on p. 405.)
(Section 4.5) Find the value of 3 5 · 15
18 ÷ 5 9 .
Exercise 6.3.42
(Section 5.4) Find the value of 5 2 3 + 8 1
12 .
Exercise 6.3.43 (Solution on p. 405.)
(Section 6.2) In the decimal number 26.10742, the digit 7 is in what position?
6.4 Rounding Decimals 4
6.4.1 Section Overview
• Rounding Decimal Numbers
6.4.2 Rounding Decimal Numbers
We rst considered the concept of rounding numbers in Section 1.4 where our concern with rounding was
related to whole numbers only. With a few minor changes, we can apply the same rules of rounding to
decimals.
To round a decimal to a particular position:
1. Mark the position of the round-o digit (with an arrow or check).
2. Note whether the digit to the immediate right of the marked digit is
(a) less than 5. If so, leave the round-o digit unchanged.
(b) 5 or greater. If so, add 1 to the round-o digit.
3. If the round-o digit is
(a) to the right of the decimal point, eliminate all the digits to its right.
(b) to the left of the decimal point, replace all the digits between it and the decimal point with zeros
and eliminate the decimal point and all the decimal digits.
6.4.2.1 Sample Set A
Round each decimal to the specied position. (The numbers in parentheses indicate which step is being
used.)
Example 6.15
Round 32.116 to the nearest hundredth.
(1)
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