Name __________________ Read and Represent Multi-Digit Numbers Classwork List the correct way to group these numbers into ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions: 1. 593 2. 9,617 3. 14,833 4. 4,300,710 5. 106,905 6. 2,897,920 7. Circle all of the even numbers: 55 23 26 103 1220 994 Write the following numbers in words: 8. 827 __________________________________________________________ 9. 104,439 _________________________________________________________ 10. 2,430,288 _______________________________________________________ Write the number in standard form for the following: 11. 7 thousands, 5 hundreds, 4 tens, 8 ones __________________ 12. 5 thousands, 3 hundreds, 2 ones__________________ 13. 3 hundred thousands, 9 ones __________________ NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org Write the following numbers in expanded form: 14. 927 + + + + 15. 1204 16. If you have several dimes, which would be the best way to count them? a. 5,10,15,20,25 b. 10, 20, 30, 40 c. 25, 50, 75, 100,125 17. Every Saturday a drawing is held at the ball park. Every 50th ticket receives a free T-shirt. The last three winners held tickets 27,702; 27,752; 27,802. What would be the next winning ticket number? ___________ Why? ________________________________________ _________________________________________________________ 18. Joe said that the value of the 7 in the number 1734 is different from the value of 7 in the number 1874. Is he right? _______ Explain your answer _________________________________ __________________________________________________ 19. Write the numbers in standard form. 6,000 + 600 + 40 + 6 = _________________________ 200,000 + 10,000 + 1,000 + 900 + 9 = __________________ 5,000,000 + 4,000 + 500 + 90 + 5 = ____________________ 8,000,000 + 400,000 + 400 + 40 + 4 = ___________________ 300,000 + 90,000 + 2,000 + 800 + 80 + 8 = _______________ NJ Center for Teaching and Learning ~ 2 ~ www.njctl.org Read and Represent Multi-Digit Numbers Homework List the correct way to group these numbers into ones, tens, thousands, ten thousands, hundred thousands, and millions: 20. 865 21. 19,325 22. 8,401 23. 5,354,980 24. 543,008 25. 4,000,406 26. List three odd numbers greater than 45. _____, _____, _____ Write the following numbers in words: 27. 11,902 __________________________________________________________ 28. 7,403,210 _______________________________________________________ 29. 7,999,349 _______________________________________________________ Write the number in standard form for the following: 30. 2 million, 3 ten thousands, 9 one thousands, 8 tens, 4 ones _________ 31. 6 hundred thousands, 2 tens, 9 ones _________ Write the following numbers in expanded form: 32. 439,450 _______ +_______ +_______ + _______ +_____ NJ Center for Teaching and Learning ~ 3 ~ www.njctl.org 33. 1,309,006 _______ +_______ +_____ +_____ 34. Robert said that the value of the 8 in the number 8,003 is different from the value of 8 in the number 9,890. Is he right? ______________ Explain your answer ________________________________________________________ Compare Numbers Classwork 35. The symbol ( >) means ____________________________ 36. What symbol represents the opposite of the above? _______ 37. Compare the following numbers: 102,045 _____ 102,104 178 _____ 177 87 _____ 101 4365 _____4385 3,001,887 _____ 3,001,877 191 _____ 201 Compare Numbers Homework 38. Compare the following numbers: 6,304 _____ 6,034 334 _____ 334 7,890 _____ 7,889 5400 _____ 5410 4,343,344 _____ 4,344,344 645,003 _____645,030 Order Numbers Classwork 39. Use the number line to plot these numbers: 25, 19, 28, and 17 in order. NJ Center for Teaching and Learning ~ 4 ~ www.njctl.org 40. Write the numbers in order from least to greatest. 48, 56, 42, 50 _________________________________________ 201, 194, 197, 191 ______________________________________ 1383, 1381, 1385, 1380___________________________________ 3,464,681; 3,454,861; 3,444,168; 3,442,618__________________ ______________________________________________________ 41. Which list is in order from greatest to least? a. 9,879 b. 9,789 c. 9,897 9,897 9,798 9,879 9,789 9,879 9,798 9,798 9,897 9,789 42. Four friends are planting flowers. Alan planted 89 flowers, Barb planted 63, Lucy 72, and Beth planted 88 flowers. Write the friends in order from least number of flowers planted to the greatest number planted. ________________________________ ____________________________________________________ 43. Write the numbers from the table below from greatest to least. Millions 1 1 1 Hundred Ten Thousands Thousands Thousands Hundreds 5 5 5 8 6 6 5 5 5 3 7 6 Tens 0 6 5 Ones 3 3 3 ______________________________________________________ What is the first place-value position in which the digits are different? ____________________________________________ NJ Center for Teaching and Learning ~ 5 ~ www.njctl.org 44. Sally is learning about symbols. She uses symbols to write the math sentence shown. ? + 7 = 13 Write Sally's math sentence using only words. ____________ __________________________________________________ Circle the number(s) that make Sally's sentence true. 0 1 3 6 10 45. Carl wrote the math sentence: 23 45 ? < 30 Write 5 numbers that makes Carl’s sentence true. _______, ______, ______, ______, ______ Write 4 numbers that make Carl’s sentence false. _____, _____, ______, ______ 46. Fill in three numbers to make this statement true. _________ > __________ < __________ Order Numbers Homework Use the number lines to plot the sequence of numbers (make up your own scale): 47. 134, 143, 159, 200, 161 NJ Center for Teaching and Learning ~ 6 ~ www.njctl.org 48. 591, 593, 655, 689, 582 49. 110,211; 111,211; 110,101; 111,200 50. Rosa wrote the math sentence: 62 - ? = 39 Write Rosa's math sentence using only words. _________________________________________________________ What number would replace the question mark to make the sentence true? __________ 51. Millions 8 8 8 8 Hundred Ten Thousands Thousands Thousands Hundreds 3 3 3 3 0 0 0 0 3 3 3 3 2 1 1 2 Tens 9 0 5 8 Ones 9 0 3 9 Write the numbers from the table below from least to greatest. __________________________________________________________ ___________________________________________________________ What is the first place - value position in which the digits are different? _______________________________________________ Add your own number in the last row to be less than the original least number NJ Center for Teaching and Learning ~ 7 ~ www.njctl.org Round Numbers Classwork 52. Round the number to the nearest thousand. 738,900 ____________ 43,293 ___________ 878,777_____________ 29,455 ___________ 53. Tell the place value for the digit 8 in each number. 384 ________________ 5812_______________ 28,545 ________ 54. Round the number to the place value of the underlined digit. 3,884,232 _______________ 199,998 _____________ 100,989 _______________ 10,499 _____________ 483,199 _______________ 107,090 _____________ 55. In 2010, the U.S. Census stated that the population of Houston, TX, was 775,230. Round to the nearest ten thousand. ______________ 56. Fill in the missing words. To round 9,870 to the nearest hundred, look at the _______________digit. Since the number is ______________ than 5, round ___________________________. Round Numbers Homework 57. Round the number to the place value of the underlined digit. 4,209,438 ________________ 385,981 ___________________ 99,006 ___________________ 122,668____________________ NJ Center for Teaching and Learning ~ 8 ~ www.njctl.org 58. Tell the place value for the digit 1 in the following numbers: 1,989,340 ________________ 912 _______________ 819,323 ____________________ 1,459 _____________ 7,771 ____________ 59. When you round numbers you first look for the _______________to round to. Then you look to the (direction) ___________ and if the number is between 5-9 you _____________________________. 60. Amy and Delilah went bowling. Amy's scores were 102, 97, and 115. Delilah's scores were 107, 88, and 97. Each girl added their own scores up and then rounded to the nearest hundred. Delilah said she won the match, but Amy said by rounding their scores they were tied. Which girl is correct?________________Explain your reasoning__________________ ____________________________________________________________ Patterns Classwork 61. Rose runs 3 miles every morning. By Monday evening, she has run 3 miles. By Tuesday evening, she has run 6 miles for the week, and by Wednesday she has run 9 miles. How many miles will she have run by Sunday evening?_______________ Explain____________________________________________ ___________________________________________________ NJ Center for Teaching and Learning ~ 9 ~ www.njctl.org 62. What would be the rule for the table listed below? __________ __________________________________________________ Fill in the missing values in the table. x y 3 9 4 12 5 63. 6 18 7 21 Using the rule input subtract 12, what would be the output number for each of these machines? input 40 output ________ NJ Center for Teaching and Learning input 65 input 80 output ______ output _______ ~ 10 ~ www.njctl.org Patterns Homework 64. Ricky runs 2 miles every morning. By Monday evening, he has run 2 miles. By Tuesday evening, he has run 4 miles for the week, and by Wednesday he has run 6 miles. How many miles will he have run by Sunday evening?_______________ Explain____________________________________________ ___________________________________________________ 65. What would be the rule for the table listed below? __________ __________________________________________________ Fill in the missing values in the table. x y 4 20 5 25 30 7 8 NJ Center for Teaching and Learning ~ 11 ~ www.njctl.org 66. Using the rule input multiply by 4, what would be the output number for each of these machines? input 10 input 7 input 4 output ________ output ______ output _______ Number Sense and Algebraic Concepts Review Multiple Choice – Choose the correct answer for each question. 1) If you had twelve stuffed animals, would you have an even number to share with a friend? a. Yes b. No 2) What is the place value of the 6 in the number 396,754? a. Hundreds b. Thousands c. Ten thousands d. Hundred Thousands 3) What is the place value of the 1 in the number 15,263? a. Hundreds b. Thousands c. Ten thousands d. Hundred Thousands NJ Center for Teaching and Learning ~ 12 ~ www.njctl.org 4) Which number has a digit in its thousands place that is less than 8? a. 9,443 b. 9,743 c. 9,741 d. 7,442 5) Identify the pattern in the following numbers. 3, 6, 12, 24, ……… What are the next three numbers in the pattern? a. 30, 36, 42 b. 48, 96, 192 c. 18, 12, 6 6) If you had several nickels, which is the best way to count them? a. 10, 20, 30, 40 b. 25, 50, 75, 100 c. 5 ,10, 15, 20 7) Which symbol means less than? a. = b. < c. > 8) Kyle and Tina are playing a number guessing game. Kyle wrote the following two clues about his number. * It has six digits. * It is halfway between 530,000 and 540,000. What is Kyle’s number? a. 533,000 b. 535,000 c. 534,000 9) What symbol should be used to compare these two numbers? 9,529 9,509? a. = b. < c. > NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org 10) Three friends compared the money they had in their pockets. Enrique had $25.25, Leslie had $23.50 and Amy had $27. Which of the following correctly compares the money? a. $27 > $25.25 > $23.50 b. $25.25 > $23.50 < $27 c. $27 < $23.50 < $25.25 11) What is 1,552 rounded to the nearest hundred? a. 2,000 b. 1,500 c. 1,600 d. 1,550 12) What is 1,473,462 rounded to the nearest thousand? a. 1,470,000 b. 1,473,000 c. 1,473,500 d. 1,500,000 13) What is the expanded form for the number 64,021? a. 60,000 + 4,000 + 20 + 1 b. 60,000 + 4,000 + 200 + 1 c. 6,000 + 4,000 + 200 + 1 14) What is the standard form for 700,000 + 90,000 + 300 + 10 a. 79,310 b. 793,010 c. 790,310 d. 7,900,310 NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org Short Constructed Response - Write the correct answer for each question. 15) Madison went shopping for a new book bag. The yellow book bag was $16.95 and the red book bag was $12.48. Which price is an odd number? _____________________________________ 16) Write the number 345,902 in words. _______________________________________________ _______________________________________________ _______________________________________________ 17) Round 3,987 to the nearest hundred. ______________________________________________ 18) If there are 149,762 different types of animals and insects on the Earth, round this amount to the nearest ten thousand. _______________________________________________________ 19) List the following numbers from least to greatest. 32,311; 31,231; 32,113; 32,131 ________________________________________________________ 20) What is the missing number in the following pattern? 42, 35, 28, NJ Center for Teaching and Learning , 14, 7 ~ 15 ~ www.njctl.org 21) Identify the pattern in the table below. Visitors to the Amusement Park Month Total Visitors June 420 July 440 August 460 September 480 October 500 Explain the rule of the pattern and how the numbers changed. _________________________________ What were the Total Visitors for the months of April and May? _________________________________ 22) Identify the pattern in the function table. What is the rule for this pattern? ________________ NJ Center for Teaching and Learning x y 2 12 4 24 6 36 8 48 ~ 16 ~ www.njctl.org Extended Constructed Response - Answer all part of the questions. 23) Use the number line to plot the sequence of the numbers below. (make up your own scale) 871, 845, 880, 855, 851 Now write the five numbers from least to greatest on this space. ___________________________________ Next, add two more numbers to the number line. Now write the new order of the seven numbers from least to greatest on this space. ___________________________________ 24) What would be the tenth shape if this pattern continued? ______________ Explain how you got your answer. NJ Center for Teaching and Learning ~ 17 ~ www.njctl.org
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