Fundamentals of Mathematics, 2008a

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62 CHAPTER 1. ADDITION AND SUBTRACTION OF WHOLE NUMBERS 1.6.8.1 Exercises for Review Exercise 1.6.105 (Section 1.2) In the number 21,206, how many hundreds are there? Exercise 1.6.106 (Solution on p. 86.) (Section 1.2) Write a three-digit number that has a zero in the ones position. Exercise 1.6.107 (Section 1.2) How many three-digit whole numbers are there? Exercise 1.6.108 (Solution on p. 86.) (Section 1.4) Round 26,524,016 to the nearest million. Exercise 1.6.109 (Section 1.5) Find the sum of 846 + 221 + 116. 1.7 Properties of Addition 7 1.7.1 Section Overview • The Commutative Property of Addition • The Associative Property of Addition • The Additive Identity We now consider three simple but very important properties of addition. 1.7.2 The Commutative Property of Addition Commutative Property of Addition If two whole numbers are added in any order, the sum will not change. 1.7.2.1 Sample Set A Example 1.48 Add the whole numbers 8 + 5 = 13 5 + 8 = 13 The numbers 8 and 5 can be added in any order. Regardless of the order they are added, the sum is 13. 7 This content is available online at . Available for free at Connexions
63 1.7.2.2 Practice Set A Exercise 1.7.1 (Solution on p. 86.) Use the commutative property of addition to nd the sum of 12 and 41 in two dierent ways. Exercise 1.7.2 (Solution on p. 86.) Add the whole numbers 1.7.3 The Associative Property of Addition Associative Property of Addition If three whole numbers are to be added, the sum will be the same if the rst two are added rst, then that sum is added to the third, or, the second two are added rst, and that sum is added to the rst. Using Parentheses It is a common mathematical practice to use parentheses to show which pair of numbers we wish to combine rst. 1.7.3.1 Sample Set B Example 1.49 Add the whole numbers. 1.7.3.2 Practice Set B Exercise 1.7.3 (Solution on p. 87.) Use the associative property of addition to add the following whole numbers two dierent ways. Exercise 1.7.4 (Solution on p. 87.) 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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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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200 CHAPTER 3. Solutions to Exercis
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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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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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344 CHAPTER 6. DECIMALS 0.17 6.2.5.
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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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382 CHAPTER 6. DECIMALS Table 6.29
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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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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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Fundamentals of Mathematics Fundame
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