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# Math Gr4 Ch8

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### Math Gr4 Ch8

1. 1. Chapter 8 Multiply by Two-Digit Numbers Click the mouse or press the space bar to continue.
2. 2. Multiply by Two-Digit Numbers 8 Lesson 8-1 Multiply by Tens Lesson 8-2 Estimate Products Lesson 8-3 Problem-Solving Strategy: Act It Out Lesson 8-4 Multiply Two-Digit Numbers Lesson 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Lesson 8-6 Problem-Solving Investigation: Choose a Strategy Lesson 8-7 Multiply Greater Numbers
3. 3. 8-1 Multiply by Tens Five-Minute Check (over Chapter 7) Main Idea California Standards Example 1 Example 2
4. 4. 8-1 Multiply by Tens • I will multiply a whole number by a multiple of ten.
5. 5. 8-1 Multiply by Tens Standard 4NS3.3 Solve problems involving the multiplication of multidigit numbers by two-digit numbers.
6. 6. 8-1 Multiply by Tens Standard 4NS3.2 Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use relationships between them to simplify computations and to check results.
7. 7. 8-1 Multiply by Tens There are 35 packs of markers in an art classroom. Each pack contains 50 markers. How many markers are there in all? You need to find 35 50.
8. 8. 8-1 Multiply by Tens One Way: Use Properties 35 × 50 Write the problem. 35 × (10 × 5) Think of 50 as 10 × 5. 35 × (5 × 10) Commutative Property (35 × 5) × 10 Associative Property 175 × 10 Multiply. 35 × 5 = 175 1,750 Mental Math.
9. 9. 8-1 Multiply by Tens Another Way: Paper and Pencil Step 1 Multiply the Step 2 Multiply the ones. tens. 35 35 × 50 × 50 0 1,75 0 Answer: So, there are 1,750 markers in all.
10. 10. 8-1 Multiply by Tens Find 45 30. A. 1,350 B. 1,250 C. 135 D. 125
11. 11. 8-1 Multiply by Tens A store has 20 children’s bicycles in stock that cost \$159 each. How much do all of the bicycles cost altogether? Step 1 Multiply the ones. \$159 20 0
12. 12. 8-1 Multiply by Tens Step 2 Multiply the tens. \$159 20 \$3,18 0 Answer: So, all of the bicycles cost \$3,180.
13. 13. 8-1 Multiply by Tens Check Think of 20 × 159 as 2 × 10 × 159. 20 × \$159 Write the problem. (2 × 10) × \$159 Think of 20 as 2 × 10. (10 × 2) × \$159 Commutative Property 10 × (2 × \$159) Associative Property 10 × \$318 Multiply. 2 × \$159 = \$318. \$3,180 Mental Math So, the answer is correct.
14. 14. 8-1 Multiply by Tens Find \$179 30. A. \$6,370 B. \$5,530 C. \$5,370 D. \$4,170
15. 15. 8-2 Estimate Products Five-Minute Check (over Lesson 8-1) Main Idea California Standards Example 1 Example 2
16. 16. 8-2 Estimate Products • I will estimate products by rounding.
17. 17. 8-2 Estimate Products Standard 4NS3.3 Solve problems involving multiplication of multidigit numbers by two-digit numbers. Standard 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.
18. 18. 8-2 Estimate Products Kaylee is awake for about 16 hours each day. About how many hours is she awake in 3 weeks? There are 21 days in 3 weeks. So, estimate 16 21. Round each factor to its greatest place. Then multiply. Step 1 Round each factor to the nearest ten. 16 20 21 20
19. 19. 8-2 Estimate Products Step 2 Multiply. 20 20 400 Answer: So, Kaylee is awake for about 400 hours in 3 weeks.
20. 20. 8-2 Estimate Products A koala sleeps for about 19 hours a day. About how many hours does one sleep in 3 weeks? A. 400 B. 425 C. 450 D. 500
21. 21. 8-2 Estimate Products A company bought 53 computers for \$909 each. About how much did they spend in all? You need to estimate \$909 × 53. Step 1 Round each factor to its greatest place. 909 900 53 50
22. 22. 8-2 Estimate Products Step 2 Multiply. 900 50 45,000 Answer: So, the company spent about \$45,000.
23. 23. 8-2 Estimate Products A school bought 57 laptops for \$837 each. About how much did the school spend in all? A. \$45,000 B. \$48,000 C. \$53,000 D. \$56,000
24. 24. 8-3 Problem-Solving Strategy: Act It Out Five-Minute Check (over Lesson 8-2) Main Idea California Standards Example 1: Problem-Solving Strategy
25. 25. 8-3 Problem-Solving Strategy: Act It Out • I will solve a problem by acting it out.
26. 26. 8-3 Problem-Solving Strategy: Act It Out Standard 4MR2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
27. 27. 8-3 Problem-Solving Strategy: Act It Out Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
28. 28. 8-3 Problem-Solving Strategy: Act It Out Sonoda has 6 coins in his bank. The coins equal 65¢. What combination of coins does he have in his bank?
29. 29. 8-3 Problem-Solving Strategy: Act It Out Understand What facts do you know? • Sonoda has 6 coins. • The value of the 6 coins is 65¢. What do you need to find? • Find the coins Sonoda has in his bank.
30. 30. 8-3 Problem-Solving Strategy: Act It Out Plan You can use play money to act out different combinations of 65¢.
31. 31. 8-3 Problem-Solving Strategy: Act It Out Solve One way to make 65¢ is with 2 quarters, 1 dime, and 1 nickel. But, that is the only 4 coins. You need two more coins.
32. 32. 8-3 Problem-Solving Strategy: Act It Out Solve Take 1 quarter and exchange it for 2 dimes and 1 nickel. The value stays the same, and the number of coins increases to 6. Answer: So, Sonoda has 1 quarter, 3 dimes, and 2 nickels.
33. 33. 8-3 Problem-Solving Strategy: Act It Out Check Look back at the problem. 1 quarter + 3 dimes + 2 nickels = (1 × 25 ) + (3 × 10 ) + (2 × 5 ) = 25 + 30 + 10 = 65 So, the answer is correct.
34. 34. 8-4 Multiply Two-Digit Numbers Five-Minute Check (over Lesson 8-3) Main Idea California Standards Example 1 Example 2
35. 35. 8-4 Multiply Two-Digit Numbers • I will multiply two-digit numbers.
36. 36. 8-4 Multiply Two-Digit Numbers Standard 4NS3.2 Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use the relationships between them to simplify computations and to check results.
37. 37. 8-4 Multiply Two-Digit Numbers Preparation for Standard 4NS3.3 Solve problems involving multiplication of multidigit numbers by two-digit numbers.
38. 38. 8-4 Multiply Two-Digit Numbers How far can a truck travel in 14 hours if it is traveling an average of 57 miles per hour?
39. 39. 8-4 Multiply Two-Digit Numbers One Way: Partial Products 57 × 14 28 Multiply 4 × 7. 200 Multiply 4 × 50. 70 Multiply 10 × 7. + 500 Multiply 10 × 50. 798 Add partial products.
40. 40. 8-4 Multiply Two-Digit Numbers One Way: Partial Products
41. 41. 8-4 Multiply Two-Digit Numbers Another Way: Paper and Pencil Step 1 Multiply the ones. 2 57 × 14 228
42. 42. 8-4 Multiply Two-Digit Numbers Another Way: Paper and Pencil Step 2 Multiply the tens. 2 57 × 14 228 570
43. 43. 8-4 Multiply Two-Digit Numbers Another Way: Paper and Pencil Step 3 Add the 2 products. 57 × 14 228 + 570 798 Answer: So, the truck can travel 798 miles in 14 hours at 57 miles per hour.
44. 44. 8-4 Multiply Two-Digit Numbers How far can a car travel in 15 hours if it is traveling an average of 63 miles per hour? A. 368 B. 378 C. 935 D. 945
45. 45. 8-4 Multiply Two-Digit Numbers The Jones family spends an average of \$48 a month going to the movies. How much does the family spend in 3 years? Estimate 50 × 40 = 2,000. Step 1 Multiply the ones. \$48 36 288
46. 46. 8-4 Multiply Two-Digit Numbers Step 2 Multiply the tens. \$48 36 288 + 1,440
47. 47. 8-4 Multiply Two-Digit Numbers Step 3 Add the products. \$48 36 288 + 1,440 1,728 Answer: So, the Jones family spends \$1,728 in 3 years.
48. 48. 8-4 Multiply Two-Digit Numbers Check 1,200 + 240 + 240 + 48 = 1,728 Check for Reasonableness Since 1,728 is close to the estimate of 2,000, the answer is reasonable.
49. 49. 8-4 Multiply Two-Digit Numbers Lauren spends about \$72 a month on gas for her car. How much does she spend on gas in 4 years? A. \$3,456 B. \$3,157 C. \$2,456 D. \$2,157
50. 50. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Five-Minute Check (over Lesson 8-4) Main Idea California Standards Example 1 Example 2
51. 51. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers • I will multiply a three-digit number by a two-digit number.
52. 52. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Standard 4NS3.2 Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use the relationships between them to simplify computations and to check results.
53. 53. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Standard 4NS3.3 Solve problems involving multiplication of multidigit numbers by two-digit numbers.
54. 54. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Antonio spends 194 minutes taking piano lesson each month. How many minutes does he spend taking piano lesson in a year? Estimate 12 × 194 10 × 200 = 2,000. Step 1 Multiply 194 by 2. 194 12 388
55. 55. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers 1 Step 2 Multiply 194 194 by 1 ten. 12 388 1,940 1 Step 3 Add the 194 products. 12 388 + 1,940 2,328
56. 56. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Answer: So, Antonio spends 2,328 minutes taking piano lessons in a year.
57. 57. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Check for Reasonableness Since 2,328 is close to the estimate, 2,000. So, the answer is correct.
58. 58. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Lui spends about 321 minutes a month writing to pen pals. How many minutes does he spend writing letters in a year? A. 3,210 B. 3,814 C. 3,752 D. 3,852
59. 59. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Rai is paid \$308 a week for her part-time job at the city library. What is Rai’s annual salary? Estimate \$308 × 52 300 × 50 = \$15,000. Step 1 Multiply \$308 by 2. 1 \$308 52 \$616
60. 60. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Step 2 Multiply \$308 by 50. 4 1 \$308 52 \$616 \$15,400
61. 61. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Step 3 Add the partial products. 4 1 \$308 52 \$616 + \$15,400 \$16,016 Answer: So, the product of \$308 and 52 is \$16,016.
62. 62. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Check for Reasonableness Since \$16,016 is close to the estimate, the answer is reasonable.
63. 63. 8-5 Multiply Three-Digit Numbers by Two-Digit Numbers Monique gets paid \$444 a week at her job. How much does she get paid in a year? A. \$22,088 B. \$23,088 C. \$21,088 D. \$20,088
64. 64. 8-6 Problem-Solving Investigation: Choose a Strategy Five-Minute Check (over Lesson 8-5) Main Idea California Standards Example 1: Problem-Solving Investigation
65. 65. 8-6 Problem-Solving Investigation: Choose a Strategy • I will choose the best strategy to solve a problem.
66. 66. 8-6 Problem-Solving Investigation: Choose a Strategy Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
67. 67. 8-6 Problem-Solving Investigation: Choose a Strategy Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
68. 68. 8-6 Problem-Solving Investigation: Choose a Strategy GREGORY: I spent 4 hours at a school carnival. I spent 35 minutes eating and 45 minutes playing games. I also rode 12 rides, which took about 15 minutes each because I had to stand in lines. YOUR MISSION: Determine if Gregory is correct in saying that he spent 4 hours at the carnival.
69. 69. 8-6 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? • Gregory spent 35 minutes eating. • He spent 45 minutes playing games. • He rode 12 rides, which lasted 15 minutes each. What do you need to find? • Find if Gregory is correct in saying he spent 4 hours at the carnival.
70. 70. 8-6 Problem-Solving Investigation: Choose a Strategy Plan Find the total number of minutes spent on carnival activities and compare to 4 hours.
71. 71. 8-6 Problem-Solving Investigation: Choose a Strategy Solve Gregory gave the amount of time spent at the carnival in hours. The amount of time spent on each activity was given in minutes. So, change hours to minutes. Then compare the two amounts of time.
72. 72. 8-6 Problem-Solving Investigation: Choose a Strategy Solve 60 minutes 15 60 minutes × 12 35 minutes 60 minutes 30 45 minutes + 60 minutes + 150 + 180 minutes 240 minutes 180 230 minutes time Gregory said time spent time spent on he spent at carnival riding rides carnival activities
73. 73. 8-6 Problem-Solving Investigation: Choose a Strategy Solve The amount of time Gregory said he spent at the carnival does not equal the amount of time he spent of carnival activities. Answer: So, Gregory was not correct.
74. 74. 8-6 Problem-Solving Investigation: Choose a Strategy Check Look back at the problem. Use subtraction to check the amount of time spent on carnival activities. 133 – 55 – 46 – 32 = 0. So, Gregory was not correct.
75. 75. 8-7 Multiply Greater Numbers Five-Minute Check (over Lesson 8-6) Main Idea California Standards Example 1 Example 2
76. 76. 8-7 Multiply Greater Numbers • I will multiply four- and five-digit numbers by a two-digit number.
77. 77. 8-7 Multiply Greater Numbers Standard 4NS3.3 Solve problems involving multiplication of multidigit numbers by two-digit numbers. Standard 4MR2.1 Use estimation to verify the reasonableness of calculated results.
78. 78. 8-7 Multiply Greater Numbers A science museum gets an average of 4,562 visitors every week. How many visitors does it get in a year? Estimate 52 4,562 50 × 5,000 = 250,000 Step 1 Multiply the ones. Regroup if necessary. 1 11 4,562 52 9,124
79. 79. 8-7 Multiply Greater Numbers Step 2 Multiply the tens. 2 3 1 11 4,562 52 9,124 228,100
80. 80. 8-7 Multiply Greater Numbers Step 3 Add the partial products. Check for reasonableness. 2 3 1 11 4,562 52 9,124 + 228,100 237,224 Answer: So, the science museum gets 237,224 visitors a year.
81. 81. 8-7 Multiply Greater Numbers Check for Reasonableness Since the answer, 237,224, is close to the estimate, the answer is reasonable.
82. 82. 8-7 Multiply Greater Numbers An amusement park gets an average of 8,225 visitors every week. How many visitors does it get in a year? A. 427,700 B. 427,590 C. 426,790 D. 427,800
83. 83. 8-7 Multiply Greater Numbers A web site gets an average of 23,146 hits each month. How many hits does it get in 15 months? Estimate 15 23,149 20 × 20,000 = 400,000 Step 1 Multiply the ones. Regroup if necessary. 1 24 23,149 15 115,745
84. 84. 8-7 Multiply Greater Numbers Step 2 Multiply the tens. 1 24 23,149 15 115,745 231,490
85. 85. 8-7 Multiply Greater Numbers Step 3 Add the partial products. 1 24 23,149 15 115,745 + 231,490 347,235 Answer: So, the website gets 347,235 hits in 15 months.
86. 86. 8-7 Multiply Greater Numbers Check for Reasonableness Since 347,235 is close to the estimate, the answer is reasonable.
87. 87. 8-7 Multiply Greater Numbers Another web site gets an average of 19,225 hits a day. How many hits does the website get in a 31 day month? A. 594,975 B. 595,864 C. 595,975 D. 594,323
88. 88. Multiply by Two-Digit Numbers 8 Five-Minute Checks
89. 89. Multiply by Two-Digit Numbers 8 Lesson 8-1 (over Chapter 7) Lesson 8-2 (over Lesson 8-1) Lesson 8-3 (over Lesson 8-2) Lesson 8-4 (over Lesson 8-3) Lesson 8-5 (over Lesson 8-4) Lesson 8-6 (over Lesson 8-5) Lesson 8-7 (over Lesson 8-6)
90. 90. Multiply by Two-Digit Numbers 8 (over Chapter 7) Multiply. Check for reasonableness. 203 2 A. 426 B. 405 C. 406 D. 425
91. 91. Multiply by Two-Digit Numbers 8 (over Chapter 7) Multiply. Check for reasonableness. 506 7 A. 1,283 B. 3,502 C. 1,273 D. 3,542
92. 92. Multiply by Two-Digit Numbers 8 (over Chapter 7) Multiply. Check for reasonableness. 3 7,035 A. 21,105 B. 21,095 C. 10,368 D. 21,405
93. 93. Multiply by Two-Digit Numbers 8 (over Chapter 7) Multiply. Check for reasonableness. 8 \$4,209 A. \$32,743 B. \$33,672 C. \$13,097 D. \$33,752
94. 94. Multiply by Two-Digit Numbers 8 (over Chapter 7) Multiply. Check for reasonableness. 6 5,008 A. 30,042 B. 30,108 C. 30,708 D. 30,048
95. 95. Multiply by Two-Digit Numbers 8 (over Lesson 8-1) Multiply. 87 10 A. 807 B. 187 C. 870 D. 957
96. 96. Multiply by Two-Digit Numbers 8 (over Lesson 8-1) Multiply. 34 30 A. 1,020 B. 912 C. 102 D. 1,054
97. 97. Multiply by Two-Digit Numbers 8 (over Lesson 8-1) Multiply. 65 80 A. 5,240 B. 520 C. 5,265 D. 5,200
98. 98. Multiply by Two-Digit Numbers 8 (over Lesson 8-1) Multiply. \$23 50 A. \$1,173 B. \$115 C. \$1,150 D. \$1,138
99. 99. Multiply by Two-Digit Numbers 8 (over Lesson 8-1) Multiply. \$79 90 A. \$6,480 B. \$7,110 C. \$711 D. \$7,189
100. 100. Multiply by Two-Digit Numbers 8 (over Lesson 8-1) Multiply. \$57 60 A. \$3,420 B. \$3,042 C. \$3,477 D. \$3,480
101. 101. Multiply by Two-Digit Numbers 8 (over Lesson 8-2) Estimate. Tell whether the estimate is more or less than the actual product. 39 35 A. 1,400; more B. 1,600; less C. 1,600; more D. 1,200; less
102. 102. Multiply by Two-Digit Numbers 8 (over Lesson 8-2) Estimate. Tell whether the estimate is more or less than the actual product. 63 44 A. 2,700; less B. 2,400; less C. 3,000; more D. 2,700; more
103. 103. Multiply by Two-Digit Numbers 8 (over Lesson 8-2) Estimate. Tell whether the estimate is more or less than the actual product. \$54 81 A. \$4,300; less B. \$4,400; less C. \$4,800; more D. \$4,000; less
104. 104. Multiply by Two-Digit Numbers 8 (over Lesson 8-2) Estimate. Tell whether the estimate is more or less than the actual product. \$274 16 A. \$5,400; more B. \$3,000; less C. \$6,000; more D. \$4,125; less
105. 105. Multiply by Two-Digit Numbers 8 (over Lesson 8-2) Estimate. Tell whether the estimate is more or less than the actual product. 719 94 A. 63,000; less B. 64,800; more C. 70,000; more D. 64,800; less
106. 106. Multiply by Two-Digit Numbers 8 (over Lesson 8-3) Solve. Use the Act it Out strategy. Carlos has 8 coins in his pocket. The total value of the coins is 73¢. What coins does Carlos have? A. 1 quarter, 4 dimes, 1 nickel, 3 pennies B. 2 quarters, 1 dime, 2 nickels, 3 pennies C. 3 dimes, 2 nickels, 3 pennies D. 2 quarters, 2 dimes, 3 pennies
107. 107. Multiply by Two-Digit Numbers 8 (over Lesson 8-4) Multiply. 17 11 A. 308 B. 34 C. 187 D. 200
108. 108. Multiply by Two-Digit Numbers 8 (over Lesson 8-4) Multiply. 35 24 A. 840 B. 210 C. 720 D. 740
109. 109. Multiply by Two-Digit Numbers 8 (over Lesson 8-4) Multiply. 59 46 A. 2,708 B. 590 C. 2,995 D. 2,714
110. 110. Multiply by Two-Digit Numbers 8 (over Lesson 8-4) Multiply. \$64 37 A. \$2,248 B. \$2,368 C. \$640 D. \$2,512
111. 111. Multiply by Two-Digit Numbers 8 (over Lesson 8-4) Multiply. \$77 66 A. \$5,082 B. \$4,242 C. \$942 D. \$4,642
112. 112. Multiply by Two-Digit Numbers 8 (over Lesson 8-4) Multiply. 92 84 A. 1,936 B. 7,628 C. 1,104 D. 7,728
113. 113. Multiply by Two-Digit Numbers 8 (over Lesson 8-5) Multiply. 124 13 A. 4,852 B. 1,612 C. 496 D. 1,602
114. 114. Multiply by Two-Digit Numbers 8 (over Lesson 8-5) Multiply. 206 32 A. 6,482 B. 1,030 C. 5,810 D. 6,592
115. 115. Multiply by Two-Digit Numbers 8 (over Lesson 8-5) Multiply. 557 45 A. 25,065 B. 24,865 C. 5,013 D. 22,635
116. 116. Multiply by Two-Digit Numbers 8 (over Lesson 8-5) Multiply. 648 74 A. 47,948 B. 7,128 C. 47,952 D. 45,322
117. 117. Multiply by Two-Digit Numbers 8 (over Lesson 8-5) Multiply. 817 77 A. 17,534 B. 62,469 C. 11,438 D. 62,909
118. 118. Multiply by Two-Digit Numbers 8 (over Lesson 8-5) Multiply. 993 86 A. 13,902 B. 85,398 C. 74,398 D. 77,688
119. 119. Multiply by Two-Digit Numbers 8 (over Lesson 8-6) Use any strategy to solve. Nitin spent 55 minutes mowing the lawn, 48 minutes cleaning his room, 23 minutes vacuuming, and 32 minutes doing laundry. Is it reasonable to say that Nitin spent 3 hours on completing his chores? A. Yes, it is reasonable because he spent exactly 3 hours completing his chores. B. No, it is not reasonable because he spent over 3 hours completing his chores.
120. 120. Multiply by Two-Digit Numbers 8 (over Lesson 8-6) Use any strategy to solve. Nitin spent 55 minutes mowing the lawn, 48 minutes cleaning his room, 23 minutes vacuuming, and 32 minutes doing laundry. Is it reasonable to say that Nitin spent 3 hours on completing his chores? C. No, it is not reasonable because he spent less than 3 hours completing his chores. D. Yes, it is reasonable because he spent almost 3 hours completing his chores.
121. 121. Multiply by Two-Digit Numbers 8 (over Lesson 8-6) Use any strategy to solve. Nitin spent 55 minutes mowing the lawn, 48 minutes cleaning his room, 23 minutes vacuuming, and 32 minutes doing laundry. Is it reasonable to say that Nitin spent 3 hours on completing his chores? C. No, it is not reasonable because he spent less than 3 hours completing his chores.
122. 122. This slide is intentionally blank.