M chap1 packet
- 1. LESSON 1.1 Name Understand Place Value The value of a digit in a number Thousands Hundreds Tens Ones depends on its position within the number. 3, 7 5 0 The value of the digit 7 in 3,750 is 700 because it is in the hundreds place. 3 × 1,000 7 × 100 5 × 10 0 × 0 To find the value of the digit 5, 3,000 700 50 0 first decide the place-value position of the 5. The 5 is in the tens place. 5 10 50, so the 5 has a value of 50. To increase a number by 5,000, increase the digit in the thousands place by 5. 3,750 increased by 5,000 is 8,750. Notice that the only change was the increase by 5 in the thousands place. Look at the number 48,792. 1. In what place-value position is 2. Complete to find the value of the 4? the 8. ten thousands 8 1,000 8,000 3. What is the value of the 9? 4. What is the value of the 2? 90 2 For 5–10, use the numbers at the top of each column. 45,893 to 85,893 88,203 to 81,203 In what place-value position was a digit changed? 5. ten thousands 6. thousands © Harcourt Was the digit increased or decreased? 7. increased 8. decreased What is the change in the value of the number? 9. increased by 40,000 10. decreased by 7,000 Reteach RW1
- 2. LESSON 1.1 Name Understand Place Value Write the value of the digit 3 in each number. 1. 4,389 2. 3,270 3. 56,223 4. 78,530 300 3,000 3 30 Compare the digits to find the value of the change. 5. 67,335 to 47,335 6. 45,289 to 45,889 7. 48,367 to 42,367 Change the value of the number by the given amount. 8. 2,305 decreased by 200 9. 72,358 increased by 6,000 2,105 78,358 10. 46,883 decreased by 40 11. 29,402 increased by 40,000 46,843 69,402 Complete. 12. 56,891 50,000 6,000 800 90 1 13. 8 6,408 80,000 6,000 400 8 14. 37,905 30,000 7,000 900 5 Mixed Review 15. 420 16. 818 17. 77 18. 213 19. 633 307 128 20 501 409 21 66 18 190 7 748 1,012 115 904 1,049 © Harcourt 20. 100 21. 87 22. 98 23. 53 24. 110 22 24 69 8 56 78 63 29 45 54 Practice PW1
- 3. LESSON 1.2 Name Place Value through Hundred Thousands In the place-value system, each place is ten times as great as the place to its right. Complete the table. Period THOUSANDS ONES Place Hundreds Tens Ones Hundreds Tens Ones Value 100,000 10,000 1,000 100 10 1 100 10 1 100 10 1 Think: thousands thousands thousand ones ones one To write a number in word form, write the number in each period and follow it with the name of the period. Do not name the ones period. Remember to use commas to separate each period of numbers. 367,412 is three hundred sixty-seven thousand, four hundred twelve. Write each number in word form. 1. 56,398 2. 308,481 fifty-six thousand, three hundred eight thousand, three hundred ninety-eight four hundred eighty-one To write a number in expanded form, write the sum of the value of each digit. Do not include digits for which the value is 0. 367,012 300,000 60,000 7,000 10 2 © Harcourt Write each number in expanded form. 3. 458,913 4. 290,384 400,000 50,000 8,000 200,000 90,000 300 900 10 3 80 4 RW2 Reteach
- 4. LESSON 1.2 Name Place Value Through Hundred Thousands Vocabulary Write the correct letter that describes each number. a. expanded 1. 340,548 c form 2. 300,000 40,000 500 40 8 a b. word form 3. three hundred forty thousand, five c. standard hundred forty-eight b form Write each number in two other forms. 4. 408,377 5. 20,000 600 30 2 6. six hundred fourteen thousand, 7. 892,200 two hundred thirty-nine Complete. 8. 35,309 thirty-five thousand , three hundred nine 30,000 5,000 300 9 9. 60,000 4,000 800 20 5 thousand, eight © Harcourt hundred twenty-five 6 4,8 2 5 Write the value of the underlined digit. 10. 569,394 300 11. 495,294 5,000 12. 384,294 300,000 Mixed Review 13. 39,338 5,000 34,338 14. 36 88 = 124 15. 28 9 = 19 PW2 Practice
- 5. LESSON 1.3 Name Place Value through Millions The period to the left of the thousands period is the millions period. Write the values that complete the table. Period MILLIONS THOUSANDS ONES Place Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Value 100,000,000 10,000,000 1,000,000 100,000 10,000 1,000 100 10 1 100 10 1 100 10 1 100 10 1 Think: million million million thousand thousand thousand ones ones one To write a number given in word form with the millions period, use a place-value chart. Fill in the place-value chart to find the standard form of three hundred fifty-seven million, two hundred twelve thousand, one hundred eight. Period MILLIONS THOUSANDS ONES Place Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Value 3 _______ 5 7, 2 1 _______ _______ 2, 1 _______ 0 8 _______ Write the value of the bold digit. 1. 32,404,202 2. 489,304,203 3. 44,203,203 4. 5,306,200 2,000,000 400,000,000 40,000,000 300,000 Complete. 5. 349,305,203 © Harcourt three hundred forty-nine million ,three hundred five thousand , two hundred three 6. 62,617,204 sixty -two million, six hundred seventeen thousand, two hundred four Reteach RW3
- 6. LESSON 1.3 Name Place Value Through Millions Vocabulary 1. The period to the left of thousands is millions . Write the value of the bold digit. 2. 45,595,445 3. 3,502,305 4. 735,495,305 500,000 3,000,000 700,000,000 Write each number in word form. 5. 6,393,203 6. 492,203,200 two hundred three Use place value to find each missing number. 7. 32,615,394; 32,715,394; 8. 5,398,394; 6,398,394; 32,815,394 ; 32,915,394 7,398,394 ; 8,398,394 9. Write the standard form of the 10. Write 312,393,205 in expanded number which is 1,000,000 less form. than forty-five million, three hundred twelve thousand, eight hundred. 2,000,000 300,000 90,000 44,312,800 3,000 200 5 © Harcourt Mixed Review Complete. 11. 70,000 8,000 40 9 12. 100,000 60,000 900 3 78,049 160,903 13. 690 268 422 14. 657 222 879 Practice PW3
- 7. LESSON 1.4 Name Benchmark Numbers You can use a known number, called a benchmark, to help you estimate another number that is difficult to count or measure. • Is the tree about 20 or about 200 feet tall? You know that the man is 6 feet tall. So, 6 is the benchmark. Look at the tree. It looks like it is a little more than 3 times as tall as the man. 6 ft Think: 3 × 6 = 18 So, the tree is about 20 feet tall. Use the benchmark to decide which is the more reasonable estimate for the unknown amount. Circle that number. 1. number of beans in jar 2. pounds of potatoes in the box 50 beans 30 lb 100 or 200 100 or 1,000 3. gallons of water in the pool 4. paper clips in the container 200 clips © Harcourt 400 gallons 800 or 1,200 100 or 1,000 RW4 Reteach
- 8. LESSON 1.4 Name Benchmark Numbers Vocabulary Fill in the blank. 1. A benchmark is a known number of things that helps you understand the size or amount of a different number of things. Use the benchmark to decide which is the more reasonable number. 2. Pennies in the jar 3. Houses in the neighborhood 20 Homes 1,000 pennies 500 or 5,000 100 or 1,000 5,000 100 4. Height of a shrub 5. Books on a shelf 25 Books 8 in. tall 20 inches or 200 inches 200 or 2,000 20 inches 200 Mixed Review © Harcourt 6. 3 7. 9 8. 16 9. 24 10. 45 8 5 12 51 22 11 14 28 75 67 11. 31 12. 44 13. 35 14. 35 15. 59 18 29 17 27 31 49 73 18 8 28 16. 12 11 23 17. 19 49 68 18. 62 21 83 PW4 Practice
- 9. LESSON 1.5 Name Problem Solving Skill Use a Graph A pictograph is a graph that uses pictures to represent numbers in order to compare information. The pictures are related to the data. Box Office Video records their national rentals each week using a pictograph. Each picture of a VCR represents 1,000,000 rentals. BOX OFFICE VIDEO NATIONAL RENTALS Week 6 Week 5 Week 4 Week 3 Week 2 Week 1 Key: Each = 1,000,000 rentals. The graph shows four VCR symbols during Week 1. So, 4 1,000,000 4,000,000 video rentals were made during Week 1. Half of a symbol represents 500,000 video rentals. So, during Week 2 there were 4,000,000 500,000 4,500,000 rentals made. 1. What other symbol might Box 2. During which week were the Office Video have chosen to greatest number of rentals represent 1,000,000 videos? made? the fewest? Possible answers: movie camera, rental card Week 3; Week 1 3. How many rentals were made 4. How many rentals were made during Week 3? during Week 1? © Harcourt 6,000,000 rentals 4,000,000 rentals 5. During Week Five, 7,000,000 6. During Week Six, 6,500,000 videos were rented. Add this videos were rented. Add this information to the graph. information to the graph. Check students’ graphs. Check students’ graphs. Reteach RW5
- 10. LESSON 1.5 Name Problem Solving Skill Maximum Daily Servings Use a Graph dairy The United States Department meat of Agriculture has named 5 food groups and recommends a vegetables maximum number of daily fruit servings from each group. bread and cereal For 1–8, use the graph. Key: Each stands for 2 servings. 1. What is the maximum 2. Which two food groups have the recommended number of same number of recommended meat servings? servings? 3. Of which food groups can you 4. Of which food group can you eat more than four servings eat the most servings? per day? 5. Today, Erika ate 5 servings of 6. What is the total number of meat. How would you represent fruit and vegetable servings this on the pictograph? recommended? 7. Rolanda has eaten 7 servings 8. At breakfast, Jamika’s banana from the bread and cereal counted as 2 fruit servings. group today. How many more How many more fruit servings servings could she have? could she have today? © Harcourt Mixed Review What is the value of the digit 7? 9. 1,762 10. 7,900,631 11. 44,072,461 12. 817,535 700 7,000,000 70,000 7,000 Practice PW5