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Fundamentals of Mathematics, 2008a

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524 CHAPTER 9. MEASUREMENT AND GEOMETRY<br />

9.3.6.1 Exercises for Review<br />

Exercise 9.3.26 (Solution on p. 570.)<br />

(Section 5.3) Find the value <strong>of</strong> 5 8 − 1 3 + 3 4 .<br />

Exercise 9.3.27<br />

(Section 7.3) Solve the proportion:<br />

9<br />

x = 27<br />

60 .<br />

Exercise 9.3.28 (Solution on p. 570.)<br />

(Section 8.2) Use the method <strong>of</strong> rounding to estimate the sum: 8, 226 + 4, 118.<br />

Exercise 9.3.29<br />

(Section 8.3) Use the clustering method to estimate the sum: 87 + 121 + 118 + 91 + 92.<br />

Exercise 9.3.30 (Solution on p. 570.)<br />

(Section 9.2) Convert 3 in. to yd.<br />

9.4 Simplication <strong>of</strong> Denominate Numbers 4<br />

9.4.1 Section Overview<br />

• Converting to Multiple Units<br />

• Adding and Subtracting Denominate Numbers<br />

• Multiplying a Denominate Number by a Whole Number<br />

• Dividing a Denominate Number by a Whole Number<br />

9.4.2 Converting to Multiple Units<br />

Denominate Numbers<br />

Numbers that have units <strong>of</strong> measure associated with them are called denominate numbers. It is <strong>of</strong>ten<br />

convenient, or even necessary, to simplify a denominate number.<br />

Simplied Denominate Number<br />

A denominate number is simplied when the number <strong>of</strong> standard units <strong>of</strong> measure associated With it does<br />

not exceed the next higher type <strong>of</strong> unit.<br />

The denominate number 55 min is simplied since it is smaller than the next higher type <strong>of</strong> unit, 1 hr. The<br />

denominate number 65 min is not simplied since it is not smaller than the next higher type <strong>of</strong> unit, 1 hr.<br />

The denominate number 65 min can be simplied to 1 hr 5 min. The denominate number 1 hr 5 min is<br />

simplied since the next higher type <strong>of</strong> unit is day, and 1 hr does not exceed 1 day.<br />

9.4.2.1 Sample Set A<br />

Example 9.8<br />

Simplify 19 in.<br />

Since 12 in. = 1 ft, and 19 = 12 + 7,<br />

19 in. = 12 in. + 7 in.<br />

= 1 ft + 7 in.<br />

= 1 ft 7 in.<br />

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