Fundamentals of Mathematics, 2008a

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542 CHAPTER 9. MEASUREMENT AND GEOMETRY 9.5.7.1 Exercises for Review Exercise 9.5.28 √ (Solution on p. 572.) (Section 4.5) Find the value of 2 8 13 · 10 9 16 . Exercise 9.5.29 8 (Section 5.3) Find the value of 15 + 7 10 + 21 60 . Exercise 9.5.30 (Solution on p. 572.) (Section 6.9) Convert 7 8 to a decimal. Exercise 9.5.31 (Section 9.2) What is the name given to a quantity that is used as a comparison to determine the measure of another quantity? Exercise 9.5.32 (Solution on p. 572.) (Section 9.4) Add 42 min 26 sec to 53 min 40 sec and simplify the result. 9.6 Area and Volume of Geometric Figures and Objects 6 9.6.1 Section Overview • The Meaning and Notation for Area • Area Formulas • Finding Areas of Some Common Geometric Figures • The Meaning and Notation for Volume • Volume Formulas • Finding Volumes of Some Common Geometric Objects Quite often it is necessary to multiply one denominate number by another. To do so, we multiply the number parts together and the unit parts together. For example, 8 in. · 8 in. = 8 · 8 · in. · in. = 64 in. 2 4 mm · 4 mm · 4 mm = 4 · 4 · 4 · mm · mm · mm = 64 mm 3 Sometimes the product of units has a physical meaning. In this section, we will examine the meaning of the products (length unit) 2 and (length unit) 3 . 9.6.2 The Meaning and Notation for Area The product (length unit) · (length unit) = (length unit) 2 , or, square length unit (sq length unit), can be interpreted physically as the area of a surface. Area The area of a surface is the amount of square length units contained in the surface. For example, 3 sq in. means that 3 squares, 1 inch on each side, can be placed precisely on some surface. (The squares may have to be cut and rearranged so they match the shape of the surface.) 6 This content is available online at . Available for free at Connexions
543 We will examine the area of the following geometric gures. 9.6.3 Area Formulas We can determine the areas of these geometric gures using the following formulas. Figure Area Formula Statement Triangle A T = 1 2 · b · h Area of a triangle is one half the base times the height. Rectangle A R = l · w Area of a rectangle is the length times the width. continued on next page Available for free at Connexions
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154 CHAPTER 3. 3.2 Exponents and Ro
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156 3.2.4 Roots CHAPTER 3. EXPONENT
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158 CHAPTER 3. EXPONENTS, ROOTS, AN
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164 3.3.3.1 Sample Set B CHAPTER 3.
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176 3.4.6.1 Sample Set C CHAPTER 3.
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186 3.6.3.2 Practice Set B CHAPTER
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188 3.6.5.2 Practice Set C CHAPTER
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200 CHAPTER 3. Solutions to Exercis
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214 CHAPTER 4. INTRODUCTION TO FRAC
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220 4.2.6 Exercises CHAPTER 4. INTR
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226 Thus, CHAPTER 4. INTRODUCTION T
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236 4.4.3.1.1 Sample Set B CHAPTER
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238 CHAPTER 4. 4.4.4 Raising Fracti
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250 √ 9 100 = 3 10 Example 4.45 4
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262 CHAPTER 4. 4.7.2 Multiplication
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268 CHAPTER 4. 4.8 Summary of Key C
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278 CHAPTER 4. Solutions to Exercis
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296 CHAPTER 5. ADDITION AND SUBTRAC
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340 CHAPTER 6. DECIMALS • underst
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344 CHAPTER 6. DECIMALS 0.17 6.2.5.
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346 CHAPTER 6. DECIMALS 6.2.6.1 Exe
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348 CHAPTER 6. DECIMALS 4 + .006 1
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352 CHAPTER 6. DECIMALS 6.4.3 Exerc
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354 CHAPTER 6. DECIMALS Exercise 6.
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356 CHAPTER 6. DECIMALS 841.0056 47
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358 CHAPTER 6. DECIMALS The sum is
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362 CHAPTER 6. DECIMALS Thus, 6.5
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364 CHAPTER 6. DECIMALS Table 6.15
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372 CHAPTER 6. DECIMALS 6.7.3 A Met
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374 CHAPTER 6. DECIMALS Method of D
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378 CHAPTER 6. DECIMALS 816.241 10)
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382 CHAPTER 6. DECIMALS Table 6.29
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384 CHAPTER 6. DECIMALS Repeating D
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386 CHAPTER 6. DECIMALS .1818 11)2.
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390 CHAPTER 6. DECIMALS .125 8)1.00
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398 CHAPTER 6. DECIMALS 6.11 Summar
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400 CHAPTER 6. DECIMALS 6.12.1.2 Co
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406 CHAPTER 6. DECIMALS Solution to
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420 CHAPTER 7. RATIOS AND RATES 7.2
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478 CHAPTER 8. TECHNIQUES OF ESTIMA
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632 CHAPTER 11. ALGEBRAIC EXPRESSIO
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694 INDEX Index of Keywords and Ter
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696 INDEX Ÿ 3.4(172), Ÿ 3.5(180),
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698 INDEX reading, Ÿ 1.3(15) readi
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700 ATTRIBUTIONS Module: "Addition
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716 ATTRIBUTIONS Module: "Algebraic
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Fundamentals of Mathematics Fundame
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Fundamentals of Mathematics, 2008a

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