Topic 3 Place Value Exam Intervention Booklet
Intervention Lesson F3 Reading and Writing 4-Digit Numbers 1. Write 2,537 in the place-value chart below. thousands hundreds tens ones 2. What place is the 2 in? So its value is 2,000. 3. What place is the 5 in? So what is its value? 4. What place is the 3 in? So what is its value? 5. What place is the 7 in? So what is its value? 6. In expanded form, 2,537 equals 2,000 7. 7. Write 2,537 in words. thousand, hundred thirty- 8. Write 6,084 in the place value chart below. thousands hundreds tens ones 9. What place is the 6 in? So what is its value? 10. What place is the 0 in? So it has no value. 11. What place is the 8 in? So what is its value? 12. What place is the 4 in? So what is its value? 13. In expanded form, 6,084 equals. 14. Write 6,084 in words. thousand, Intervention Lesson F3 61
Intervention Lesson F3 Reading and Writing 4-Digit Numbers (continued) Write each number in standard form. 15. 1,000 500 20 7 16. nine thousand, four hundred 17. 8,000 100 30 18. five thousand, six hundred one 19. 4,000 500 2 20. six thousand, eight hundred ninety Write each number in expanded form. 21. 3,716 22. 2,091 Write the value of the underlined digit. 23. 1,863 24. 9,504 25. 5,129 26. 183 27. Write 3,995 in words. 28. Write 4,716 in words. 29. Use the digits 1, 5, 7, and 3. Write the greatest possible four-digit number using each of the digits only once. 30. Reasoning What number would make the number sentence 5,000 800 6 5,826 true? 62 Intervention Lesson F3
Intervention Lesson F5 Comparing and Ordering Numbers Seth s class collected 1,382 cans during the food drive. Yolanda s class collected 1,357 cans of food. Determine whose class collected more by answering 1 to 6. 1. Write 1,382 and 1,357 in the place value chart. thousands hundreds tens ones 2. Use,, or to compare the thousands. 1,000 1,000 3. Since the thousands are equal, compare the hundreds. 300 300 4. Since the hundreds are equal, compare the tens. 80 50 5. Since 80 50, Which value is greater, 1,382 or 1,357? 6. Whose class collected more cans of food? Zoe scored 3,496 points, Mario scored 2,908 points, and Kim scored 3,520 points. Determine who scored the most points by answering 7 to 12. 7. Write 3,496, 2,908, and 3,520 in the place value chart. thousands hundreds tens ones 8. Compare the thousands. Since 2,000 3,000, what is the least number? Intervention Lesson F5 65
Intervention Lesson F5 Comparing and Ordering Numbers (continued) 9. Use the chart you completed in 7 to compare the hundreds of the other two numbers. 400 500 10. Since 400 500, then is 3,496 greater than or less than 3,520? 11. What are the numbers in order from least to greatest?,, 12. Who scored the most points? Compare. Write,, or. 13. 514 512 14. 394 349 15. 809 809 16. 1,078 178 17. 236 2,036 18. 7,530 7,240 19. 9,089 9,098 20. 4,517 5,417 21. 3,728 3,727 Write the numbers in order from least to greatest. 22. 428 418 422 23. 1,234 134 123 24. 5,619 5,691 569 25. 1,010 1,001 1,100 26. Reasoning What is the smallest digit that makes 1,328 1, 28 true? 27. Daniella has 1,241 trading cards. Mark has 1,099 trading cards. Who has more cards? 28. Maria scored 3,950 points playing a video game. Leigh scored 3,590 points. Kathy scored 3,905. Order their scores from least to greatest. 66 Intervention Lesson F5
Intervention Lesson F8 Rounding Numbers Through Thousands To round 34,853 to the nearest ten thousand, answer 1 to 6. Materials 8 inches of yarn per pair 1. Plot 34,853 on the number line below. 2. Use the yarn to help you decide whether 34,853 is closer to 30,000 or 40,000. Which is it closer to? 3. So, what is 34,853 rounded to the nearest ten thousand? 4. Plot 37,421 on the number line above. 5. Use the yarn to help you decide whether 37,421 is closer to 30,000 or 40,000. Which is it closer to? 6. So, what is 37,421 rounded to the nearest ten thousand? Round 739,218 to the nearest hundred thousand without using a number line. Answer 7 to 11. 7. Which digit is in the hundred thousands place? 8. What digit is to the right of the 7? 9. Is that digit less than 5, or is it 5 or greater? If the digit to the right of the number is 5 or more, the number rounds up. If the digit is less than 5, the number rounds down. 10. Do you need to round up or down? 11. Keep the 7 and change the other digits to 0s. So, 739,218 rounds to. Intervention Lesson F8 71
Intervention Lesson F8 Rounding Numbers Through Thousands (continued) Round each number to the nearest ten. 12. 94,519 13. 537,681 Round each number to the nearest hundred. 14. 968,458 15. 58,326 Round each number to the nearest thousand. 16. 318,512 17. 21,236 Round each number to the nearest ten thousand. 18. 285,431 19. 184,032 Round each number to the nearest hundred thousand. 20. 735,901 21. 472,992 Use the information in the table for Exercises 22 23. 22. What is the price of the house rounded to the nearest hundred thousand? Real Estate Sale Amount in Dollars Price of House 169,256 Advertising Fee 7,177 Repairs 5,873 23. What is the cost of repairs rounded to the nearest thousand? 24. Reasoning Write three numbers that would round to 44,000 when rounded to the nearest thousand. 25. Reasoning Explain how to round 496,275 to the nearest ten thousand. 72 Intervention Lesson F8
Intervention Lesson F9 Comparing and Ordering Numbers Through Thousands In a recent county election, Henderson received 168,356 votes. Juarez received 168,297 votes. Determine who received more votes by answering 1 to 7. 1. Write 168,356 and 168,297 in the place-value chart. hundred thousands ten thousands thousands hundreds tens ones For Exercises 2 5, write,, or. 2. Start with the left column in the chart. 100,000 100,000 3. Since the hundred thousands are equal, compare the ten thousands. 60,000 60,000 4. Since the ten thousands are equal, compare the thousands. 8,000 8,000 5. Since the thousands are equal, compare the hundreds. 300 200 6. Since 300 200, compare 168,356 and 168,297. 7. So, which candidate received more votes? Order 346,217; 319,304; and 348,862 from least to greatest by answering 8 to 12. 8. Write 346,217; 319,304; and 348,862 in the place-value chart on the next page. Intervention Lesson F9 73
Intervention Lesson F9 Comparing and Ordering Numbers Through Thousands (continued) hundred thousands ten thousands thousands hundreds tens ones 9. Start on the left. Write,, or. 300,000 300,000 300,000 10. Since the hundred thousands are all equal, compare the ten thousands. Since 10,000 40,000, what is the least number? 11. Since 6,000 8,000, compare the thousands place of the other two numbers. 12. The numbers in order from least to greatest are: Use or to compare each pair of numbers. 13. 8,112 8,221 14. 418,412 481,930 15. 321,159 312,147 16. 20,657 21,687 17. 118,111 118,147 18. 914,146 904,168 Order the numbers from least to greatest. 19. 8,200; 820; 7,980 20. 12,984; 12,875; 11,987 21. 200; 12,945; 2,309 22. 321,984; 345,879; 323,490 23. Reasoning When comparing 17,834 and 17,934, can you start by comparing hundreds? Explain. 74 Intervention Lesson F9
Intervention Lesson F11 Rounding Numbers Through Millions Round 4,307,891 to the nearest million by answering 1 to 5. 1. What digit is in the millions place? 2. What digit is to the right of the 4? 3. Is the digit to the right of 4 less than 5, or is it 5 or greater? If the digit to the right of the number is 5 or more, the number rounds up. If the digit is less than 5, the number rounds down. 4. Do you need to round up or down? 5. Keep the 4 and change the other digits to 0s. What is 4,307,891 rounded to the nearest million? Round 6,570,928 to the nearest hundred thousand by answering 6 to 11. 6. Which digit is in the hundred thousands place? 7. What digit is to the right of the 5? 8. Is the digit to the right of 5 less than 5, or is it 5 or greater? 9. Do you need to round up or down? 10. Change the 5 to the next highest digit and change the other digits to 0s. What is 6,570,928 rounded to the nearest hundred thousand? 11. What is 6,570,928 rounded to the nearest thousand? Intervention Lesson F11 77
Intervention Lesson F11 Rounding Numbers Through Millions (continued) Round 1,581,267 to each place. 12. ten 13. hundred 14. thousand 15. ten thousand 16. hundred thousand 17. million Round each number to the nearest ten. 18. 3,194,764 19. 8,967,001 Round each number to the nearest hundred. 20. 1,265,906 21. 6,906,294 Round each number to the nearest thousand. 22. 8,070,126 23. 9,264,431 Round each number to the nearest ten thousand. 24. 7,514,637 25. 2,437,894 Round each number to the nearest hundred thousand. 26. 1,395,384 27. 3,992,460 Round each number to the nearest million. 28. 4,578,952 29. 5,022,121 30. 2,439,019 31. 8,888,888 32. Reasoning A number rounded to the nearest million is 4,000,000. One less than the same number rounds to 3,000,000 when rounded to the nearest million. What is the number? 78 Intervention Lesson F11
Intervention Lesson J6 Make an Organized List Materials 4 index cards cut in half to make 8 halves Veronica is playing a game called Guess the Number. What are all the possible numbers that fit the clues shown on the right? How many numbers are there? Solve by answering 1 to 10. Clues It is a 3-digit odd number. The hundreds digit is less than 3. The tens digit is greater than 6. The ones digit is greater than 6. Answer 1 to 5 to understand the problem. 1. What do you know from reading the problem? The number has digits and is. The hundreds digit is less than. Both the tens and ones digits are greater than. 2. What do you need to find? 3. What digits can be in the hundreds place? 4. What digits can be in the tens place? 5. What digits can be in the ones place? Answer 6 to 9 to plan and solve the problem. 6. Write the possible digits for each place on index cards. Intervention Lesson J6 49
Intervention Lesson J6 Make an Organized List (continued) You can solve the problem by making an organized list. 7. Put the cards with the smallest digits for each place together. What is one possible number? Hundreds Tens Ones 1 7 7 This number is first in the list at the right. 8. Change the card for the ones digit and write another number in the list at the right. When you use all the ones cards, change the tens digit card to the next highest digit and match it with each possible ones digit. Continue in this organized way until you have listed all the possible numbers. 9. How many numbers are possible? Answer 10 to look back at how you solved the problem. 10. Did you answer the right question? Complete each list to solve. 11. The cups used to sell drinks at the game come in packages of 100 or 10. How many different ways can 320 cups be bought? 12. You have black pants and tan pants. You have 3 shirts: black, red, and green. How many different outfits can you make? Packages of 100 Packages of 10 2 12 B B B R B G 50 Intervention Lesson J6