Fundamentals of Mathematics, 2008a

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94 CHAPTER 2. MULTIPLICATION AND DIVISION OF WHOLE NUMBERS 2.2.3.1 Sample Set B Find the following products. Example 2.3 3 × 4 = 12 Write the 2, carry the 1. 3 × 6 = 18 Add to 18 the 1 that was carried: 18 + 1 = 19. The product is 192. Example 2.4 5 × 6 = 30 Write the 0, carry the 3. 5 × 2 = 10 Add to 10 the 3 that was carried: 10 + 3 = 13. Write the 3, carry the 1. 5 × 5 = 25 Add to 25 the 1 that was carried: 25 + 1 = 6. The product is 2,630. Example 2.5 9 × 4 = 36 Write the 6, carry the 3. 9 × 0 = 0 Add to the 0 the 3 that was carried: 0 + 3 = 3. Write the 3. 9 × 8 = 72 Write the 2, carry the 7. 9 × 1 = 9 Add to the 9 the 7 that was carried: 9 + 7 = 16. Since there are no more multiplications to perform,write both the 1 and 6. The product is 16,236. 2.2.3.2 Practice Set B Find the following products. Exercise 2.2.5 (Solution on p. 142.) 37 × 5 Available for free at Connexions
95 Exercise 2.2.6 (Solution on p. 142.) 78 × 8 Exercise 2.2.7 (Solution on p. 142.) 536 × 7 Exercise 2.2.8 (Solution on p. 142.) 40, 019 × 8 Exercise 2.2.9 (Solution on p. 142.) 301, 599 × 3 2.2.4 The Multiplication Process With a Multiple Digit Multiplier In a multiplication in which the multiplier is composed of two or more digits, the multiplication must take place in parts. The process is as follows: Part 1: First Partial Product Multiply the multiplicand by the ones digit of the multiplier. This product is called the rst partial product. Part 2: Second Partial Product Multiply the multiplicand by the tens digit of the multiplier. This product is called the second partial product. Since the tens digit is used as a factor, the second partial product is written below the rst partial product so that its rightmost digit appears in the tens column. Part 3: If necessary, continue this way nding partial products. Write each one below the previous one so that the rightmost digit appears in the column directly below the digit that was used as a factor. Part 4: Total Product Add the partial products to obtain the total product. note: It may be necessary to carry when nding each partial product. 2.2.4.1 Sample Set C Example 2.6 Multiply 326 by 48. Part 1: Part 2: 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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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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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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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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378 CHAPTER 6. DECIMALS 816.241 10)
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382 CHAPTER 6. DECIMALS Table 6.29
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386 CHAPTER 6. DECIMALS .1818 11)2.
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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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578 CHAPTER 10. SIGNED NUMBERS 10.2
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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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702 ATTRIBUTIONS Module: "Multiplic
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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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