Topic 3 Place Value. Exam Intervention Booklet

Transcription

1 Topic 3 Place Value Exam Intervention Booklet

2 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, 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, 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

3 Intervention Lesson F3 Reading and Writing 4-Digit Numbers (continued) Write each number in standard form , nine thousand, four hundred 17. 8, five thousand, six hundred one 19. 4, six thousand, eight hundred ninety Write each number in expanded form , ,091 Write the value of the underlined digit , , , 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, ,826 true? 62 Intervention Lesson F3

4 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 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, Since the thousands are equal, compare the hundreds Since the hundreds are equal, compare the tens 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 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

5 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 Since , 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 , , ,530 7, ,089 9, ,517 5, ,728 3,727 Write the numbers in order from least to greatest , ,619 5, ,010 1,001 1, 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

6 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 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

7 Intervention Lesson F8 Rounding Numbers Through Thousands (continued) Round each number to the nearest ten , ,681 Round each number to the nearest hundred , ,326 Round each number to the nearest thousand , ,236 Round each number to the nearest ten thousand , ,032 Round each number to the nearest hundred thousand , ,992 Use the information in the table for Exercises 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, 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

8 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 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, , Since the hundred thousands are equal, compare the ten thousands. 60,000 60, Since the ten thousands are equal, compare the thousands. 8,000 8, Since the thousands are equal, compare the hundreds Since , compare 168,356 and 168, So, which candidate received more votes? Order 346,217; 319,304; and 348,862 from least to greatest by answering 8 to Write 346,217; 319,304; and 348,862 in the place-value chart on the next page. Intervention Lesson F9 73

9 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, , , 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 ,112 8, , , , , ,657 21, , , , ,168 Order the numbers from least to greatest ,200; 820; 7, ,984; 12,875; 11, ; 12,945; 2, ,984; 345,879; 323, Reasoning When comparing 17,834 and 17,934, can you start by comparing hundreds? Explain. 74 Intervention Lesson F9

10 Intervention Lesson F11 Rounding Numbers Through Millions Round 4,307,891 to the nearest million by answering 1 to 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 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

11 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 ,194, ,967,001 Round each number to the nearest hundred ,265, ,906,294 Round each number to the nearest thousand ,070, ,264,431 Round each number to the nearest ten thousand ,514, ,437,894 Round each number to the nearest hundred thousand ,395, ,992,460 Round each number to the nearest million ,578, ,022, ,439, ,888, 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

12 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

13 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 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 B B B R B G 50 Intervention Lesson J6