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# MATH GR4 CH1

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### MATH GR4 CH1

1. 1. Chapter 1 Place Value and Number Sense Click the mouse or press the space bar to continue.
2. 2. Place Value and Number Sense 1 Lesson 1-1 Place Value Through Hundred Thousands Lesson 1-2 Place Value Through Millions Lesson 1-3 Problem-Solving Strategy: The Four-Step Plan Lesson 1-4 Compare Whole Numbers Lesson 1-5 Order Whole Numbers Lesson 1-6 Round Whole Numbers Lesson 1-7 Problem-Solving Investigation: Choose a Strategy
3. 3. 1-1 Place Value Through Hundred Thousands Five-Minute Check Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3
4. 4. 1-1 Place Value Through Hundred Thousands • I will read and write whole numbers to hundred thousands. • digit • standard form • place value • word form • period • expanded form
5. 5. 1-1 Place Value Through Hundred Thousands Standard 4NS1.1 Read and write whole numbers in the millions.
6. 6. 1-1 Place Value Through Hundred Thousands Write the value of the underlined digit in 26,513. Step 1 Write the number in a place-value chart. 2 6 5 1 3
7. 7. 1-1 Place Value Through Hundred Thousands Step 2 Identify the column in which the 6 is. Circle it. 2 6 5 1 3
8. 8. 1-1 Place Value Through Hundred Thousands Step 3 Replace all of the digits that are on the right side of the 6 with zeros. 2 6 0 0 0
9. 9. 1-1 Place Value Through Hundred Thousands Write the value of the underlined digit in 14,317. A. 30,000 B. 3,000 C. 300 D. 30
10. 10. 1-1 Place Value Through Hundred Thousands Write 86,012 in word form and expanded form. 8 6 0 1 2 Standard form: 86,012 Word form: eighty-six thousand, twelve Expanded form: 80,000 + 6,000 + 10 + 2
11. 11. 1-1 Place Value Through Hundred Thousands Write 413,610 in word form and expanded form. A. four hundred thirteen thousand, 6 hundred ten; 40,000 + 10,000 + 3,000 + 610 B. four hundred thirteen thousand, 6 hundred ten; 400,000 + 10,000 + 3,000 + 600 + 10 C. four hundred thirteen, 6 hundred ten; 400,000 + 10,000 + 3,000 + 600 + 10 D. four hundred thirteen, 6 hundred ten; 40,000 + 10,000 + 3,000 + 610
12. 12. 1-1 Place Value Through Hundred Thousands Write five thousand, four hundred six in standard form and expanded form. Standard form: 5,406 Expanded form: 5,000 + 400 + 6
13. 13. 1-1 Place Value Through Hundred Thousands Write four thousand, eight hundred twenty-one in standard form and expanded form. A. 482,001 B. 40,821 C. 4,801 D. 4,821
14. 14. 1-2 Place Value Through Millions Five-Minute Check (over Lesson 1-1) Main Idea California Standards Example 1 Example 2 How Big is One Million?
15. 15. 1-2 Place Value Through Millions • I will read and write whole numbers through the millions.
16. 16. 1-2 Place Value Through Millions Standard 4NS1.1 Read and write whole numbers in the millions.
17. 17. 1-2 Place Value Through Millions The students at Harvey Elementary School have saved 3,100,750 pennies. Write 3,100,750 in standard form, word form, and expanded form. Standard form: 3,100,750 Word form: Three million, one hundred thousand, seven hundred fifty Expanded form: 3,000,000 + 100,000 + 700 + 50
18. 18. 1-2 Place Value Through Millions A person’s heart that beats 65 beats per minute on average, beats 34,187,400 per year. Write 34,187,400 in standard form, word form, and expanded form. A. standard form: 34,187,400 word form: thirty-four million, one hundred eighty-seven thousand, four hundred expanded form: 30,000,000 + 4,000,000 + 100,000 + 80,000 + 7,000 + 400
19. 19. 1-2 Place Value Through Millions A person’s heart that beats 65 beats per minute on average, beats 34,187,400 per year. Write 34,187,400 in standard form, word form, and expanded form. B. standard form: 34,187,400 word form: thirty-four hundred million, one hundred seven thousand and four expanded form: 300,000,000 + 40,000,000 + 100,000 + 80,000 + 7,000 + 400
20. 20. 1-2 Place Value Through Millions A person’s heart that beats 65 beats per minute on average, beats 34,187,400 per year. Write 34,187,400 in standard form, word form, and expanded form. C. standard form: 34,187,400 word form: thirty-four million, one hundred eighty-seven thousand, four hundred expanded form: 30,000,000 + 4,000,000 + 100,000 + 80,000 + 4
21. 21. 1-2 Place Value Through Millions A person’s heart that beats 65 beats per minute on average, beats 34,187,400 per year. Write 34,187,400 in standard form, word form, and expanded form. D. standard form: 34,187,400 word form: thirty-four million, one hundred eighty-seven thousand, four hundred expanded form: 30,000,000 + 40,000,000 + 100,000 + 800,000 + 700,000 + 400
22. 22. 1-2 Place Value Through Millions Answer: A. standard form: 34,187,400 word form: thirty-four million, one hundred eighty-seven thousand, four hundred expanded form: 30,000,000 + 4,000,000 + 100,000 + 80,000 + 7,000 + 400
23. 23. 1-2 Place Value Through Millions The total area of China is three million, seven hundred five thousand, four hundred seven square miles. Write this number in standard form. This number is written in the place-value chart below. 3 7 0 5 4 0 7 Answer: Standard form: 3,705,407
24. 24. 1-2 Place Value Through Millions The population of the state of New York is about nineteen million, two hundred fifty-four thousand, six hundred thirty. Write this number in standard form. A. 190,254,630 B. 19,254,630 C. 1,924,630 D. 1,254,630
25. 25. 1-3 Problem-Solving Strategy: The Four-Step Plan Five-Minute Check (over Lesson 1-2) Main Idea California Standards Example 1: Problem-Solving Strategy
26. 26. 1-3 Problem-Solving Strategy: The Four-Step Plan • I will use the four-step problem-solving plan to solve problems.
27. 27. 1-3 Problem-Solving Strategy: The Four-Step Plan Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
28. 28. 1-3 Problem-Solving Strategy: The Four-Step Plan Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations.
29. 29. 1-3 Problem-Solving Strategy: The Four-Step Plan There are six girls in Dina’s scout troop. They are planning a trip to the local amusement park. Admission for children is \$12. What is the total cost of admission for everyone to go?
30. 30. 1-3 Problem-Solving Strategy: The Four-Step Plan Understand What facts do you know? • There are six scouts who want to go. • The price of admission is \$12 for each girl. What do you need to find? • The total cost of admission for all the girls.
31. 31. 1-3 Problem-Solving Strategy: The Four-Step Plan Plan To find the total cost, you can use addition. There are 6 girls, and it will cost \$12 each. So, add 12 six times.
32. 32. 1-3 Problem-Solving Strategy: The Four-Step Plan Solve \$12 + \$12 + \$12 + \$12 + \$12 + \$12 = \$72 Answer: So, the troop needs \$72 to go to the amusement park.
33. 33. 1-3 Problem-Solving Strategy: The Four-Step Plan Check Look back at the problem. One way to check the answer is to use a drawing. There are 72 squares, so the answer is correct.
34. 34. 1-4 Compare Whole Numbers Five-Minute Check (over Lesson 1-3) Main Idea and Vocabulary California Standards Example 1 Example 2
35. 35. 1-4 Compare Whole Numbers • I will compare whole numbers. • number line • is less than ( ) • is greater than ( ) • is equal to ( )
36. 36. 1-4 Compare Whole Numbers Standard 4NS1.2 Order and compare whole numbers and decimals to two decimal places. Standard 4NS1.1 Read and write numbers in the millions.
37. 37. 1-4 Compare Whole Numbers A middle school principal earns \$97,032 in one year. An elementary school principal earns \$94,485 in one year. Who gets paid more? On a number line, numbers to the right are greater than numbers to the left.
38. 38. 1-4 Compare Whole Numbers 97,032 is to the right of 94,485. So, 97,032 is greater than 94,485. Therefore, 97,032 > 94,485. Answer: So, the middle school principal gets paid more than the elementary principal.
39. 39. 1-4 Compare Whole Numbers A secretary earns \$32,567 in one year and a bus driver earns \$31,622 in one year. Who gets paid more? A. secretary B. bus driver C. both get paid the same D. not enough information given
40. 40. 1-4 Compare Whole Numbers Jorge traveled 1,296 miles during his summer vacation. Kai traveled 1,967 miles during her summer vacation. Who traveled more miles?
41. 41. 1-4 Compare Whole Numbers Step 1 Line up the numbers so that the digits in the ones place align. 1,296 1,967
42. 42. 1-4 Compare Whole Numbers Step 2 Begin at the greatest place. Compare the digits. 1,296 1,967 Since 1 = 1, go to the next place.
43. 43. 1-4 Compare Whole Numbers Step 3 Compare the digits in the next place. 1,296 1,967 9>2 Answer: So, 1,967 is greater than 1,296. Therefore, Kai traveled more miles during her summer trip than Jorge.
44. 44. 1-4 Compare Whole Numbers Maria traveled 2,432 miles over spring break to visit her grandparents. Jamal traveled 2,498 miles to visit his grandparents over spring break. Who traveled more miles? A. Maria B. Jamal C. Both traveled the same amount D. Not enough information given
45. 45. 1-5 Order Whole Numbers Five-Minute Check (over Lesson 1-4) Main Idea California Standards Example 1 Example 2
46. 46. 1-5 Order Whole Numbers • I will order whole numbers through the millions.
47. 47. 1-5 Order Whole Numbers Standard 4NS1.2 Order and compare whole numbers and decimals to two decimal places. Standard 4NS1.1 Read and write numbers in the millions.
48. 48. 1-5 Order Whole Numbers Refer to the table. Order the dog breeds from least popular to most popular. Graph each number on a number line.
49. 49. 1-5 Order Whole Numbers 42,592 is the farthest to the left, so it is the least popular. 45,868 is between 42,592 and 47,238. 47,238 is the farthest to the right, so it is the most popular. Answer: The order from least popular to most popular is Beagle, German Shepherd, Yorkshire Terrier.
50. 50. 1-5 Order Whole Numbers Order the following numbers from least to greatest. 21,465, 21,333, 24,899, 24,751 A. 21,465; 21,333; 24,751; 24,899 B. 21,333; 21,465; 24,899; 24,751 C. 21,465; 21,333; 24,899; 24,751 D. 21,333; 21,465; 24,751; 24,899
51. 51. 1-5 Order Whole Numbers The populations of three cities are listed below. Use place value to order the population numbers from least to greatest.
52. 52. 1-5 Order Whole Numbers 1,223,400 1,223,400 886,671 least 1,463,281 greatest 1,463,281 Answer: The numbers ordered from least to greatest are 886,671; 1,223,400; and 1,463,281.
53. 53. 1-5 Order Whole Numbers Use place value to order the following numbers from least to greatest. 2,651,866; 2,571,322; 1,444,739; 1,498,200 A. 1,444,739; 1,498,200; 2,651,866; 2,571,322 B. 2,571,322; 2,651,866; 1,444,739; 1,498,200 C. 1,444,739; 1,498,200; 2,571,322; 2,651,866 D. 2,651,866; 2,571,322; 1,444,739; 1,498,200
54. 54. 1-6 Round Whole Numbers Five-Minute Check (over Lesson 1-5) Main Idea and Vocabulary California Standards Key Concept: Rounding Whole Numbers Example 1 Example 2 Example 3
55. 55. 1-6 Round Whole Numbers • I will round whole numbers through the millions. • estimate • rounding (or round)
56. 56. 1-6 Round Whole Numbers Standard 4NS1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.
57. 57. 1-6 Round Whole Numbers
58. 58. 1-6 Round Whole Numbers A library has 95,876 books. To the nearest thousand, how many books does the library have? On the number line, 95,876 is closer to 96,000 than 95,000. Answer: So, round 95,876 to 96,000.
59. 59. 1-6 Round Whole Numbers A local radio station has a collection of 38,245 CDs. To the nearest thousand, how many CDs does the radio station have? A. 38,200 B. 39,000 C. 37,000 D. 38,000
60. 60. 1-6 Round Whole Numbers A local radio station claims that it has 571,394 loyal listeners. How many listeners is this rounded to the nearest ten thousand? On the number line, 571,394 is closer to 570,000 than 580,000. Answer: So, round 571,394 to 570,000.
61. 61. 1-6 Round Whole Numbers A television show has 947,821 viewers per week. How many viewers is this rounded to the nearest ten thousand? A. 900,000 B. 950,000 C. 940,000 D. 948,000
62. 62. 1-6 Round Whole Numbers A wildlife refuge is said to be home to 569,400 birds. Round 569,400 to the nearest thousand. You need to round 569,400 to the nearest thousand. Step 1 Underline the digit in the 569,400 place to be rounded. In this case the 9 in the thousands place needs to be rounded.
63. 63. 1-6 Round Whole Numbers Step 2 Look at the digit to the right 569,400 of the underlined digit, which is 4. Step 3 Since this digit is less than 569,400 5, do not change the underlined digit.
64. 64. 1-6 Round Whole Numbers Step 4 Replace all digits after the 569,000 underlined digit with zeros. Answer: To the nearest thousand, 569,400 is rounded to 569,000. Check The number line shows that the answer is correct.
65. 65. 1-6 Round Whole Numbers Round 731,600 to the nearest thousand. A. 730,000 B. 731,000 C. 732,000 D. 740,000
66. 66. 1-7 Problem-Solving Investigation: Choose a Strategy Five-Minute Check (over Lesson 1-6) Main Idea California Standards Example 1: Problem-Solving Investigation
67. 67. 1-7 Problem-Solving Investigation: Choose a Strategy • I will choose the best strategy to solve a problem.
68. 68. 1-7 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.
69. 69. 1-7 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.
70. 70. 1-7 Problem-Solving Investigation: Choose a Strategy TORY: My family is going on vacation to Mexico. Before we go, we have to trade our dollars for Mexican pesos. For every dollar we will get about 11 pesos. YOUR MISSION: Find about how many pesos Tory’s family will get for \$8.
71. 71. 1-7 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? • You know that one dollar is about 11 pesos. What do you need to find? • You will need to find about how many pesos they will get for \$8.
72. 72. 1-7 Problem-Solving Investigation: Choose a Strategy Plan For every 1 dollar, they get 11 pesos. Make a table to solve the problem.
73. 73. 1-7 Problem-Solving Investigation: Choose a Strategy Solve There is a pattern of +11. Answer: The family can expect to get about 88 pesos for \$8.
74. 74. 1-7 Problem-Solving Investigation: Choose a Strategy Check There is a second pattern in the table. When the digit in the dollar row is changed to pesos, the dollar digit is repeated twice. For example, \$5 is 55 pesos. \$8 is 88 pesos follows this pattern. So, the answer is correct.
75. 75. Place Value and Number Sense 1 Five-Minute Checks How Big is One Million?
76. 76. Place Value and Number Sense 1 Lesson 1-1 Lesson 1-2 (over Lesson 1-1) Lesson 1-3 (over Lesson 1-2) Lesson 1-4 (over Lesson 1-3) Lesson 1-5 (over Lesson 1-4) Lesson 1-6 (over Lesson 1-5) Lesson 1-7 (over Lesson 1-6)
77. 77. Place Value and Number Sense 1 Find the value of 10 × 3. A. 30 B. 3 C. 300 D. 10
78. 78. Place Value and Number Sense 1 Find the value of 100 – 30. A. 130 B. 3,000 C. 3 D. 70
79. 79. Place Value and Number Sense 1 Find the value of 16 4. A. 64 B. 4 C. 12 D. 20
80. 80. Place Value and Number Sense 1 Find the value of 15 + 10. A. 25 B. 5 C. 150 D. 75
81. 81. Place Value and Number Sense 1 (over Lesson 1-1) Write the value of the underlined digit. 131,166 A. 6 B. 600 C. 60 D. 66
82. 82. Place Value and Number Sense 1 (over Lesson 1-1) Write the value of the underlined digit. 72,015 A. 70,000 B. 7,000 C. 72 D. 7
83. 83. Place Value and Number Sense 1 (over Lesson 1-1) Write the value of the underlined digit. 999,760 A. 999 B. 90,000 C. 900,000 D. 9
84. 84. Place Value and Number Sense 1 (over Lesson 1-1) Write the value of the underlined digit. 62,824 A. 2,000 B. 2 C. 200 D. 2,824
85. 85. Place Value and Number Sense 1 (over Lesson 1-2) Write 5,376 in two different ways. A. five hundred seventy-six; 500 + 70 + 6 B. five thousand three hundred seventy-six; 5,000 + 300 + 70 + 6 C. five thousand three seventy-six; 5,000 + 376 D. three thousand five hundred seventy-six; 3,000 + 500 + 70 + 6
86. 86. Place Value and Number Sense 1 (over Lesson 1-2) Write twenty-five thousand, seven hundred eighty-nine in two different ways. A. 25,700,089; 25,000 + 700 + 89 B. 2,789; 2,000 + 700 + 80 + 9 C. 257,809; 25,000 + 700 + 80 + 9 D. 25,789; 20,000 + 5,000 + 700 + 80 + 9
87. 87. Place Value and Number Sense 1 (over Lesson 1-2) Write 200,000 + 30,000 + 1 in two different ways. A. 230,001; two hundred thirty thousand, one B. 2,301; two thousand three hundred one C. 230,100; two hundred thirty thousand, one hundred D. 500,001; five hundred thousand, one
88. 88. Place Value and Number Sense 1 (over Lesson 1-2) Write 765,149,372 in two different ways. A. seven hundred sixty-five thousand, one hundred forty-nine, three hundred seventy-two; 700,000 + 60,000 + 5,000 + 100 + 40 + 9 + 300 + 70 + 2 B. seven hundred sixty-five million, one hundred forty-nine thousand, three hundred seventy- two; 700,000,000 + 60,000,000 + 5,000,000 + 100,000 + 40,000 + 9,000 + 300 + 70 + 2
89. 89. Place Value and Number Sense 1 (over Lesson 1-2) Write 765,149,372 in two different ways. C. seven hundred sixty-five billion, one hundred forty-nine thousand, three hundred seventy- two; 765,000,000,000 + 100,000 + 40,000 + 9,000 + 300 + 70 + 2 D. seven hundred sixty-five thousand, one hundred forty-nine thousand, three hundred seventy-two; 700,000 + 60,000 + 5,000 + 100,000 + 40,000 + 9,000 + 300 + 70 + 2
90. 90. Place Value and Number Sense 1 (over Lesson 1-2) Write 765,149,372 in two different ways. B. seven hundred sixty-five million, one hundred forty-nine thousand, three hundred seventy- two; 700,000,000 + 60,000,000 + 5,000,000 + 100,000 + 40,000 + 9,000 + 300 + 70 + 2
91. 91. Place Value and Number Sense 1 (over Lesson 1-3) Solve. Use the Four-Step Plan. A hamster can travel about 5 times as fast as a roach. A roach can go 1 mile in an hour. How far can a hamster travel in one hour? A. 12 miles in one hour B. 10 miles in one hour C. 5 miles in one hour D. 25 miles in one hour
92. 92. Place Value and Number Sense 1 (over Lesson 1-4) Compare. Use <, >, or =. 4,908 4,718 A. 4,908 < 4,718 B. 4,908 > 4,718 C. 4,908 = 4,718 D. 4,718 > 4,908
93. 93. Place Value and Number Sense 1 (over Lesson 1-4) Compare. Use <, >, or =. 16,547 62,050 A. 16,547 > 62,050 B. 62,050 < 16,547 C. 16,547 < 62,050 D. 16,547 = 62,050
94. 94. Place Value and Number Sense 1 (over Lesson 1-4) Compare. Use <, >, or =. 8,342 8,342 A. 8,342 = 8,342 B. 8,342 > 8,342 C. 8,342 < 8,342 D. You can not compare these two numbers.
95. 95. Place Value and Number Sense 1 (over Lesson 1-4) Compare. Use <, >, or =. 42,610 41,619 A. 42,610 < 41,619 B. 41,619 > 42,610 C. 42,610 = 41,619 D. 42,610 > 41,619
96. 96. Place Value and Number Sense 1 (over Lesson 1-5) The Nile River is about 4,160 miles long. The Mississippi River is about 2,340 miles long. The Amazon River is about 4,000 miles long. Order the rivers from shortest to longest. A. Nile, Mississippi, Amazon B. Amazon, Mississippi, Nile C. Mississippi, Nile, Amazon D. Mississippi, Amazon, Nile
97. 97. Place Value and Number Sense 1 (over Lesson 1-6) Round 4,236 to the nearest thousand. A. 4,200 B. 4,000 C. 5,000 D. 3,000
98. 98. Place Value and Number Sense 1 (over Lesson 1-6) Round 2,699 to the nearest thousand. A. 2,000 B. 2,700 C. 3,000 D. 1,000
99. 99. Place Value and Number Sense 1 (over Lesson 1-6) Round 189,022 to the nearest hundred thousand. A. 189,000 B. 200,000 C. 190,000 D. 100,000
100. 100. Place Value and Number Sense 1 (over Lesson 1-6) Round 435,001 to the nearest hundred thousand. A. 435,000 B. 500,000 C. 440,000 D. 400,000
101. 101. This slide is intentionally blank.