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- 1. Chapter 2 Addition and Subtraction Click the mouse or press the space bar to continue.
- 2. Addition and Subtraction 2 Lesson 2-1 Algebra: Addition Properties and Subtraction Rules Lesson 2-2 Estimate Sums and Differences Lesson 2-3 Problem-Solving Strategy: Estimate or Exact Answer Lesson 2-4 Add Numbers Lesson 2-5 Subtract Numbers Lesson 2-6 Problem-Solving Investigation: Choose a Strategy Lesson 2-7 Subtract Across Zeros
- 3. 2-1 Algebra: Addition Properties and Subtraction Rules Five-Minute Check (over Chapter 1) Main Idea and Vocabulary California Standards Key Concepts: Addition Properties Key Concepts: Subtraction Rules Example 1 Example 2 Example 3
- 4. 2-1 Algebra: Addition Properties and Subtraction Rules • I will use addition properties and subtraction rules to add and subtract. • Commutative Property of Addition • Associative Property of Addition • Identity Property of Addition
- 5. 2-1 Algebra: Addition Properties and Subtraction Rules Standard 4AF1.0 Students use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences.
- 6. 2-1 Algebra: Addition Properties and Subtraction Rules
- 7. 2-1 Algebra: Addition Properties and Subtraction Rules
- 8. 2-1 Algebra: Addition Properties and Subtraction Rules Identify the property shown by 9 + 6 = 6 + 9. Here, the order of the numbers are reversed from one side of the equal sign to the other. This is the Commutative Property of Addition because the order in which numbers are added does not change the sum. Answer: Commutative Property of Addition
- 9. 2-1 Algebra: Addition Properties and Subtraction Rules Identify the property shown by (2 + 3) + 4 = 2 + (3 + 4). A. Associative Property of Addition B. Commutative Property of Addition C. Identity Property of Addition D. Associative Property of Multiplication
- 10. 2-1 Algebra: Addition Properties and Subtraction Rules Find 18 + 26 + 12. You can use the Associative Property to add mentally. (26 + 18) + 12 Regroup to add 18 and 12 first. 26 + (18 + 12) Associative Property of Addition 26 + 30 Add 18 and 12. 56 Add 26 and 30. Answer: 56
- 11. 2-1 Algebra: Addition Properties and Subtraction Rules Find 13 + 31 + 17. A. 30 B. 44 C. 61 D. 52
- 12. 2-1 Algebra: Addition Properties and Subtraction Rules Find the missing number in 5 – = 5. When you subtract 0 from 5, the result is 5. 5–0=5 So, the missing number is 0. Answer: 0
- 13. 2-1 Algebra: Addition Properties and Subtraction Rules Find the missing number in 7 – = 7. A. 7 B. 0 C. 1 D. 2
- 14. 2-2 Estimate Sums and Differences Five-Minute Check (over Lesson 2-1) Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3 Example 4
- 15. 2-2 Estimate Sums and Differences • I will estimate sums and differences of numbers. • estimate
- 16. 2-2 Estimate Sums and Differences Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the subtraction of multidigit numbers.
- 17. 2-2 Estimate Sums and Differences Sam wanted to buy a bicycle for $239 and a helmet for $37. About how much money will Sam need to buy the bicycle and helmet? Round to the tens place. Round each amount to the nearest tens place. Then add. $239 $240 + $37 + $40 $280 Answer: So, Sam needs to save about $280.
- 18. 2-2 Estimate Sums and Differences Olivia wants to buy a desk for $217 and a chair to go with it for $56. About how much money does Olivia need to buy the desk and chair? Round to the nearest tens place. A. $260 B. $270 C. $275 D. $280
- 19. 2-2 Estimate Sums and Differences Estimate 6,243 + 942. Round to the hundreds place. Round to the nearest hundreds place. Then add. 6,243 6,200 + 942 + 900 7,100 Answer: So, 6,243 + 942 is about 7,100.
- 20. 2-2 Estimate Sums and Differences Estimate 6,837 + 821. Round to the hundreds place. A. 7,800 B. 7,700 C. 7,600 D. 7,500
- 21. 2-2 Estimate Sums and Differences Estimate $57.61 – $28.45. Round to the tens place. Round each dollar amount to the nearest ten dollars then subtract. $57.61 $60.00 – $28.45 – $30.00 $30.00 Answer: So, $57.61 – $28.45 is about $30.00.
- 22. 2-2 Estimate Sums and Differences Estimate $25.72 – $17.55. Round to the tens place. A. $40.00 B. $10.00 C. $20.00 D. $30.00
- 23. 2-2 Estimate Sums and Differences The table shows the world’s tallest mountains. About how much taller is Mt. Everest than Lhoste? Round to the thousands place. Round each height to the nearest thousand. Then subtract.
- 24. 2-2 Estimate Sums and Differences 29,028 29,000 – 27,923 – 28,000 1,000 Answer: So, Mt. Everest is about 1,000 feet taller than Lhoste.
- 25. 2-2 Estimate Sums and Differences Estimate 74,218 – 51,933. Round to the thousands place. A. 22,000 B. 23,000 C. 22,700 D. 23,700
- 26. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Five-Minute Check (over Lesson 2-2) Main Idea California Standards Example 1: Problem-Solving Strategy
- 27. 2-3 Problem-Solving Strategy: Estimate or Exact Answer • I will determine when to estimate or find an exact answer.
- 28. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Standard 4MR2.5 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.
- 29. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
- 30. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Keith and his brother are going to build a tree house. They will need $12 for nails, $95 for tools, and $46 for wood. About how much money do they need to build the tree house?
- 31. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Understand What facts do you know? • Nails cost $12. • Tools cost $95. • Wood costs $46. What do you need to find? • Find about how much money they need to build the tree house.
- 32. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Plan Since the question asks about how much money is needed, you can estimate the sum.
- 33. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Solve Round each amount to each greatest place value. Then add. Answer: So, about $160 is needed to build the tree house.
- 34. 2-3 Problem-Solving Strategy: Estimate or Exact Answer Check Look back at the problem. Suppose the question asked for an exact answer. Since $153 is close to $160, an estimate of $160 is correct.
- 35. 2-4 Add Numbers Five-Minute Check (over Lesson 2-3) Main Idea California Standards Example 1 Example 2
- 36. 2-4 Add Numbers • I will add numbers, including multidigit numbers.
- 37. 2-4 Add Numbers Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.
- 38. 2-4 Add Numbers Add 4,568 + 2,429. Estimate 4,568 4,600 + 2,429 + 2,400 7,000
- 39. 2-4 Add Numbers Step 1 Add ones. 1 4,568 + 2,429 7 Step 2 Add tens. 1 4,568 + 2,429 97
- 40. 2-4 Add Numbers Step 3 Add hundreds. 1 4,568 + 2,429 9 97
- 41. 2-4 Add Numbers Step 4 Add thousands. 1 4,568 + 2,429 6,997 Check for Reasonableness The estimate was 7,000. Since 6,997 is close to the estimate, the answer is reasonable.
- 42. 2-4 Add Numbers Add 3,792 + 5,249. A. 9,041 B. 8,931 C. 9,000 D. 9,040
- 43. 2-4 Add Numbers The three largest farms in Springfield are listed in the table. What is the total size of the three farms? Estimate 12,250 12,300 8,732 8,700 + 997 + 1,000 22,000
- 44. 2-4 Add Numbers Step 1 Add ones. 12,250 8,732 + 997 9 Step 2 Add tens. 1 12,250 8,732 + 997 79
- 45. 2-4 Add Numbers Step 3 Add hundreds. 1 1 12,250 8,732 + 997 979 Step 4 Add thousands. 11 1 12,250 8,732 + 997 1,979
- 46. 2-4 Add Numbers Step 5 Add ten thousands. 11 1 12,250 8,732 + 997 21,979 Check for Reasonableness The estimate was 22,000. Since 21,979 is close to the estimate, the answer is reasonable.
- 47. 2-4 Add Numbers Add 33,473 + 4,522 + 722. A. 38,771 B. 37,117 C. 38,717 D. 37,617
- 48. 2-5 Subtract Numbers Five-Minute Check (over Lesson 2-4) Main Idea California Standards Example 1 Example 2 Subtract Numbers
- 49. 2-5 Subtract Numbers • I will subtract multidigit numbers.
- 50. 2-5 Subtract Numbers Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.
- 51. 2-5 Subtract Numbers The Hernandez family flies 9,635 miles to visit some cousins. Next year, they fly 3,867 to visit their grandmother. How much farther did they travel to see their cousins? Estimate 9,635 9,600 – 3,867 – 3,900 5,700
- 52. 2-5 Subtract Numbers Step 1 Subtract ones. 2 15 9,635 – 3,867 8 Step 2 Subtract tens. 12 5 2 15 9,635 – 3,867 68
- 53. 2-5 Subtract Numbers Step 3 Subtract hundreds. 15 12 8 5 2 15 9,635 – 3,867 768 Step 4 Subtract thousands. 15 12 8 5 2 15 9,635 – 3,867 5,768
- 54. 2-5 Subtract Numbers Answer: So, the Hernandez family traveled 5,768 miles further to see their cousins. Check You can use addition to check your subtraction. 9,635 3,867 – 3,867 + 5,768 5,768 9,635 So, the answer is correct. The answer, 5,768, is also close to the estimate.
- 55. 2-5 Subtract Numbers Subtract 8,249 – 2,871. A. 6,487 B. 5,378 C. 6,789 D. 5,738
- 56. 2-5 Subtract Numbers Elija had $96.47 in his checking account. He wrote a check for $67.99 to buy a skateboard. How much money did he have left? Subtracting money is similar to subtracting whole numbers. Estimate $96.47 $96 – $67.99 – $68 $28
- 57. 2-5 Subtract Numbers Step 1 Subtract pennies. 3 17 $96.47 – $67.99 8 Step 2 Subtract dimes. 13 5 3 17 $96.47 – $67.99 48
- 58. 2-5 Subtract Numbers Step 3 Subtract dollars. 15 13 8 5 3 17 $96.47 – $67.99 8.48 Step 4 Subtract ten dollars. 15 13 8 5 3 17 $96.47 – $67.99 $28.48
- 59. 2-5 Subtract Numbers Check $96.47 $67.99 – $67.99 + $28.48 $28.48 $96.47 So, the answer is correct. The answer, $28.48, is also close to the estimate.
- 60. 2-5 Subtract Numbers Selena had $45.50 when she went to the store. She bought shoes for $36.99. How much does she have left? A. $10.51 B. $9.50 C. $8.51 D. $8.49
- 61. 2-6 Problem-Solving Investigation: Choose a Strategy Five-Minute Check (over Lesson 2-5) Main Idea California Standards Example 1: Problem-Solving Investigation
- 62. 2-6 Problem-Solving Investigation: Choose a Strategy • I will choose the best strategy to solve a problem.
- 63. 2-6 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.
- 64. 2-6 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.
- 65. 2-6 Problem-Solving Investigation: Choose a Strategy MARCO: I am downloading music. So far, I have downloaded 4 albums. Each album has 14 songs. YOUR MISSION: Find how many songs Marco has downloaded.
- 66. 2-6 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? • Marco has downloaded 4 albums. • Each album has 14 songs. What do you need to find? • Find how many songs Marco has downloaded.
- 67. 2-6 Problem-Solving Investigation: Choose a Strategy Plan Use the four-step plan to find how many songs Marco has downloaded. Use repeated addition to find the answer.
- 68. 2-6 Problem-Solving Investigation: Choose a Strategy Solve Start with 14, the number of songs on the first album. Then continue to add 14 for each additional album.
- 69. 2-6 Problem-Solving Investigation: Choose a Strategy Solve Answer: So, he downloaded a total of 56 songs.
- 70. 2-6 Problem-Solving Investigation: Choose a Strategy Check Look back at the problem. 56 – 14 = 42, 42 – 14 = 28, 28 – 14 = 14, and 14 – 14 = 0. The answer is correct.
- 71. 2-7 Subtract Across Zeros Five-Minute Check (over Lesson 2-6) Main Idea California Standards Example 1 Example 2
- 72. 2-7 Subtract Across Zeros • I will subtract multidigit numbers, when some digits are zero.
- 73. 2-7 Subtract Across Zeros Standard 4NS3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.
- 74. 2-7 Subtract Across Zeros Refer to the table. How much larger is Jupiter than Earth? Step 1 Subtract ones. 9 1 10 10 142,200 – 12,756 4
- 75. 2-7 Subtract Across Zeros Step 2 Subtract tens. 9 1 10 10 142,200 – 12,756 44 Step 3 Subtract hundreds. 11 9 1 1 10 10 142,200 – 12,756 444
- 76. 2-7 Subtract Across Zeros Step 4 Subtract thousands. 11 11 9 3 1 1 10 10 142,200 – 12,756 9,444 Step 5 Subtract ten thousands. 11 11 9 3 1 1 10 10 142,200 – 12,756 29,444
- 77. 2-7 Subtract Across Zeros Step 6 Subtract hundred thousands. 11 11 9 3 1 1 10 10 142,200 – 12,756 129,444 Answer: So, Jupiter is 129,444 km larger than Earth. Check You can use addition to check your subtraction. 12,756 + 129,444 = 142,200. So, the answer is correct.
- 78. 2-7 Subtract Across Zeros Subtract 132,788 – 64,329. A. 68,599 B. 68,459 C. 67,461 D. 67,459
- 79. 2-7 Subtract Across Zeros Marciel gave the store clerk $50.00 for her purchase. She received $13.56 in change. How much did she spend? Step 1 Subtract pennies. 9 9 4 10 10 10 $50.00 – $13.56 4
- 80. 2-7 Subtract Across Zeros Step 2 Subtract dimes. 9 9 4 10 10 10 $50.00 – $13.56 44 Step 3 Subtract ones. 9 9 4 10 10 10 $50.00 – $13.56 6.44
- 81. 2-7 Subtract Across Zeros Step 4 Subtract tens. 9 9 4 10 10 10 $50.00 – $13.56 $36.44 Answer: So, Marciel spent $36.44.
- 82. 2-7 Subtract Across Zeros Seki bought some headphones at the mall. If he took $35.00 with him and has $13.74 left, how much did the headphones cost? A. $21.26 B. $22.76 C. $22.27 D. $21.76
- 83. Addition and Subtraction 2 Five-Minute Checks Subtract Numbers
- 84. Addition and Subtraction 2 Lesson 2-1 (over Chapter 1) Lesson 2-2 (over Lesson 2-1) Lesson 2-3 (over Lesson 2-2) Lesson 2-4 (over Lesson 2-3) Lesson 2-5 (over Lesson 2-4) Lesson 2-6 (over Lesson 2-5) Lesson 2-7 (over Lesson 2-6)
- 85. Addition and Subtraction 2 (over Chapter 1) Use any strategy to solve. Tell which strategy you used. Lee Ann’s family travels 60 miles in one hour. Roberto’s family travels 40 miles in one hour. How many hours would it take for Lee Ann’s family to travel as far as Roberto’s family travels in 6 hours? A. Roberto’s family travels 200 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 200 miles. B. Roberto’s family travels 2,400 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 2400 miles.
- 86. Addition and Subtraction 2 (over Chapter 1) Use any strategy to solve. Tell which strategy you used. Lee Ann’s family travels 60 miles in one hour. Roberto’s family travels 40 miles in one hour. How many hours would it take for Lee Ann’s family to travel as far as Roberto’s family travels in 6 hours? C. Roberto’s family travels 240 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 240 miles. D. Roberto’s family travels 280 miles in 6 hours; it will take Lee Ann’s family 5 hours to travel 280 miles.
- 87. Addition and Subtraction 2 (over Chapter 1) Use any strategy to solve. Tell which strategy you used. Lee Ann’s family travels 60 miles in one hour. Roberto’s family travels 40 miles in one hour. How many hours would it take for Lee Ann’s family to travel as far as Roberto’s family travels in 6 hours? C. Roberto’s family travels 240 miles in 6 hours; it will take Lee Ann’s family 4 hours to travel 240 miles.
- 88. Addition and Subtraction 2 (over Lesson 2-1) Copy and complete each number sentence. Write the property or rule shown. 7 + __ = 7 A. 0; Associative Property B. 0; Identity Property C. 7; Identity Property D. 1; Commutative Property
- 89. Addition and Subtraction 2 (over Lesson 2-1) Copy and complete each number sentence. Write the property or rule shown. (9 + 2) + 7 = 9 + (__ + 7) A. 9; Associative Property B. 2; Commutative Property C. 2; Associative Property D. 7; Associative Property
- 90. Addition and Subtraction 2 (over Lesson 2-1) Copy and complete each number sentence. Write the property or rule shown. 4 – __ = 0 A. 4; Subtraction Rule B. 0; Identity Property C. 0; Subtraction Rule D. 4; Identity Property
- 91. Addition and Subtraction 2 (over Lesson 2-1) Copy and complete each number sentence. Write the property or rule shown. 385 + 22 = 22 + __ A. 385; Associative Property B. 385; Identity Property C. 22; Commutative Property D. 385; Commutative Property
- 92. Addition and Subtraction 2 (over Lesson 2-2) Estimate each sum or difference. $4.69 + $5.19 A. $9.00 B. $11.00 C. $10.00 D. $9.50
- 93. Addition and Subtraction 2 (over Lesson 2-2) Estimate each sum or difference. $20.59 – $17.19 A. $3.00 B. $38.00 C. $5.00 D. $4.00
- 94. Addition and Subtraction 2 (over Lesson 2-2) Estimate each sum or difference. 2,466 – 1,377 A. 2,000 B. 1,000 C. 1,400 D. 3,000
- 95. Addition and Subtraction 2 (over Lesson 2-2) Estimate each sum or difference. 19,556 + 14,789 A. 34,000 B. 5,000 C. 35,000 D. 33,000
- 96. Addition and Subtraction 2 (over Lesson 2-2) Estimate each sum or difference. 555 + 798 A. 1,400 B. 1,350 C. 1,300 D. 1,200
- 97. Addition and Subtraction 2 (over Lesson 2-3) Solve. Explain why you gave an estimate or an exact answer. A turkey sandwich costs $3.75 and a bottle of juice costs $1.45. If Tobin buys two sandwiches and a bottle of juice, how much change will he receive from $10.00? A. $1.00; estimate because the question asks about an estimated amount of change B. $1.05; exact answer because the question asks about an exact amount of change
- 98. Addition and Subtraction 2 (over Lesson 2-3) Solve. Explain why you gave an estimate or an exact answer. A turkey sandwich costs $3.75 and a bottle of juice costs $1.45. If Tobin buys two sandwiches and a bottle of juice, how much change will he receive from $10.00? C. $0; estimate because you always estimate when using money D. $2.05; exact answer because the question asks about an exact amount of change
- 99. Addition and Subtraction 2 (over Lesson 2-3) Solve. Explain why you gave an estimate or an exact answer. A turkey sandwich costs $3.75 and a bottle of juice costs $1.45. If Tobin buys two sandwiches and a bottle of juice, how much change will he receive from $10.00? B. $1.05; exact answer because the question asks about an exact amount of change
- 100. Addition and Subtraction 2 (over Lesson 2-4) Find each sum. Check you work by estimating. 4,765 + 3,482 A. 1,283 B. 8,137 C. 8,247 D. 8,237
- 101. Addition and Subtraction 2 (over Lesson 2-4) Find each sum. Check you work by estimating. 54,763 + 2,788 A. 57,451 B. 51,975 C. 56,441 D. 57,551
- 102. Addition and Subtraction 2 (over Lesson 2-4) Find each sum. Check you work by estimating. 78,539 + 45,825 A. 113,354 B. 124,364 C. 114,364 D. 134,354
- 103. Addition and Subtraction 2 (over Lesson 2-4) Find each sum. Check you work by estimating. 890,456 + 445,923 A. 1,336,379 B. 1,335,379 C. 1,235,379 D. 1,336,378
- 104. Addition and Subtraction 2 (over Lesson 2-4) Find each sum. Check you work by estimating. 45,390 + 370,296 A. 415,586 B. 324,906 C. 315,686 D. 415,686
- 105. Addition and Subtraction 2 (over Lesson 2-5) Solve. Nori bought a game for $14.95 and a CD for $9.88. He gave the cashier $30.00. How much change did he receive? A. $6.27 B. $5.17 C. $15.17 D. $5.16
- 106. Addition and Subtraction 2 (over Lesson 2-5) Solve. Nadia guessed that there were 9,546 beans in a jar. Steve guessed that there were 5,969 beans. How much larger was Nadia’s guess than Steve’s? A. 4,423 B. 6,423 C. 4,577 D. 3,577
- 107. Addition and Subtraction 2 (over Lesson 2-6) Use any of the following strategies to solve: Draw a Picture, Look for a Pattern, Make a Table. Tiana writes the following numbers in a row: 2, 7, 9, 14, 16. What would be the next three numbers in her pattern? A. 21, 23, 28 B. 18, 23, 25 C. 18, 20, 22 D. 21, 26, 31
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