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&&66 0XOWLSO\DZKROHQXPEHURIXSWRIRXUGLJLWVE\DRQHGLJLWZKROH NS 1.1*1%7 Estimate, round, and manipulate very large (e.g., millions) and QXPEHUDQGPXOWLSO\WZRWZRGLJLWQXPEHUVXVLQJVWUDWHJLHVEDVHGRQSODFHYDOXHDQG very small (e.g., thousandths) numbers. WKHSURSHUWLHVRIRSHUDWLRQV,OOXVWUDWHDQGH[SODLQWKHFDOFXODWLRQE\XVLQJHTXDWLRQV UHFWDQJXODUDUUD\VDQGRUDUHDPRGHOV UNDERLYING SKILLS AND CONCEPTS: use basic multiplication facts; understand place value; multiply with 1-digit multipliers Multiply by Multiples of Ten Numbers with a zero in the ones place are multiples of 10. You can use basic facts and place value to multiply by multiples of 10. Multiples of ten end in zero. To multiply 12 by 10, first multiply 12 ! 1. 10, 20, 30, 40, 50, 60, 70, 80, 90 Then annex a 0 to the product. 12 ! 1 " 12 so 12 ! 10 " 120 To multiply any number by 20, you can multiply in two steps. Step 1: Since 20 " 2 ! 10, you can first multiply by 2. Step 2: Then multiply by 10. The product will have 0 in the ones place. 12 ! 20 " 240 Use the same strategy to multiply by 30, 40, 50, 60, 70, 80, or 90. 1 ly Multiply 2 There are 144 pencils in one gross. How many pencils are there in 70 gross? Find 144 ! 70. Step 1: Multiply 144 ! 7: 144 ! 7 " 1,008 Step 2: Multiply 1,008 ! 10. Hint: Annex a zero in the ones place. 1,008 ! 10 " 10,080 There are 10,080 pencils in 70 gross. page 30 ! ltip E x am p l E ? ! 30 " (? ! 3) ! 10 " (? ! 3) and annex a 0 Mu There are 12 rows of seats at a concert. Each row has 30 seats. How many people can be seated? Find 12 ! 30 " ? Remember: 12 ! 30 is the same as 12 ! 3 ! 10. Step 1: Multiply 12 ! 3: 12 ! 3 " 36 Step 2: Then multiply 36 ! 10. Hint: Annex a zero in the ones place. 36 ! 10 " 360 So, 360 people can be seated. Notice that when you annex a zero in the ones place, all the digits move one place value to the left. Where am I going to keep that many pencils! Chapter 3 – Lesson 3 E – © CSL Associates, Inc. All rights reserved. E x am p l E Name P RAC T I C E Find each product. 1. 15 _____3 45 15 30 _______ 450 2. 75 _____6 450 75 60 _______ 4,500 3. 10 _____7 70 10 70 _______ 700 4. 15 _____8 120 15 80 _______ 1,200 5. 67 _____2 134 67 20 _______ 1,340 6. 125 _____9 1,125 125 90 _______ 11,250 7. 38 _____4 152 38 40 _______ 1,520 8. 18 _____5 90 18 50 _______ 900 9. 893 _____7 6,251 893 70 _______ 62,510 10. 525 11. 419 12. 375 13. 815 14. 523 15. 824 30 70 40 10 50 60 _______ _______ _______ _______ _______ _______ 15,750 29,330 15,000 8,150 26,150 49,440 E – © CSL Associates, Inc. All rights reserved. Solve. Show your work. 16. Jose has $98 in dimes. How many 17. A store sold 40 reams of paper. Each dimes is that? ream has 500 sheets. How many sheets of paper is that? 980 20,000 Circle the correct choice. 18. How many minutes are there in 1 day? A B 24 Math Reasoning 60 C 1,240 D 1,440 Number Sense MR 2.6, 3.3 19. Describe how to use basic facts and multiples of 10 to multiply 20 500. Possible answer: You know that 20 2 10. Since 2 500 1,000, 20 500 10,000. You annex a zero in the ones place and adjust the comma to show the thousands. Chapter 3 – Lesson 3 page 31 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:02 Page 22 Name …at home! P RAC T I C E Find each product. 1. 12 _____3 36 12 30 _______ 360 2. 85 _____6 510 85 60 _______ 5,100 3. 20 _____7 140 20 70 _______ 1,400 4. 14 _____8 112 14 80 _______ 1,120 5. 58 _____2 116 58 20 _______ 1,160 6. 116 _____9 1,044 116 90 _______ 10,440 7. 27 _____4 108 27 40 _______ 1,080 8. 19 _____5 95 19 50 _______ 950 9. 785 _____7 5,495 785 70 _______ 54,950 10. 485 11. 318 12. 425 13. 775 14. 481 15. 862 30 70 40 10 50 60 _______ _______ _______ _______ _______ _______ 14,550 22,260 17,000 7,750 24,050 51,720 Solve. Show your work. 17. A store sold 60 reams of paper. Each dimes is that? ream has 500 sheets. How many sheets of paper is that? 760 30,000 Circle the correct choice. 18. How many minutes are there in 3 days? A B 1,230 Math Reasoning 1,440 C 1,443 Number Sense D 4,320 MR 2.6, 3.3 19. Describe how to use basic facts and multiples of 10 to multiply 50 200. 50 5 10 and 200 2 100 so 50 200 5 2 10 100. 5 2 10 so 5 2 10 100 10 10 100. 10 10 100 100 100 10,000. page 22 Home Resource and Homework Chapter 3 Lesson 3 E – © CSL Associates, Inc. All rights reserved. 16. Miguel has $76 in dimes. How many MCX94TEG5CH01_32.v7.4.2 2/24/01 19:42 Page 59 Name P RAC T I C E Find each product. 1. 15 _____3 45 15 30 _______ 450 2. 75 _____6 450 75 60 _______ 4,500 3. 10 _____7 70 10 70 _______ 700 4. 15 _____8 120 15 80 _______ 1,200 5. 67 _____2 134 67 20 _______ 1,340 6. 125 _____9 1,125 125 90 _______ 11,250 7. 38 _____4 152 38 40 _______ 1,520 8. 18 _____5 90 18 50 _______ 900 9. 893 _____7 6,251 893 70 _______ 62,510 10. 525 11. 419 12. 375 13. 815 14. 523 15. 824 30 70 40 10 50 60 _______ _______ _______ _______ _______ _______ 15,750 29,330 15,000 8,150 26,150 49,440 E – © CSL Associates, Inc. All rights reserved. Solve. Show your work. 16. Jose has $98 in dimes. How many 17. A store sold 40 reams of paper. Each dimes is that? ream has 500 sheets. How many sheets of paper is that? 980 20,000 Circle the correct choice. 18. How many minutes are there in 1 day? A B 24 Math Reasoning 60 C 1,240 D 1,440 Number Sense MR 2.6, 3.3 19. Describe how to use basic facts and multiples of 10 to multiply 20 500. Possible answer: You know that 20 2 10. Since 2 500 1,000, 20 500 10,000. You annex a zero in the ones place and adjust the comma to show the thousands. Chapter 3 – Lesson 3 Student Book Page page 31 Name …at home! P RAC T I C E Find each product. 1. 12 _____3 36 12 30 _______ 360 2. 85 _____6 510 85 60 _______ 5,100 3. 20 _____7 140 20 70 _______ 1,400 4. 14 _____8 112 14 80 _______ 1,120 5. 58 _____2 116 58 20 _______ 1,160 6. 116 _____9 1,044 116 90 _______ 10,440 7. 27 _____4 108 27 40 _______ 1,080 8. 19 _____5 95 19 50 _______ 950 9. 785 _____7 5,495 785 70 _______ 54,950 10. 485 11. 318 12. 425 13. 775 14. 481 15. 862 30 70 40 10 50 60 _______ _______ _______ _______ _______ _______ 14,550 22,260 17,000 7,750 24,050 51,720 Solve. Show your work. 17. A store sold 60 reams of paper. Each dimes is that? ream has 500 sheets. How many sheets of paper is that? 760 30,000 Circle the correct choice. 18. How many minutes are there in 3 days? A B 1,230 Math Reasoning 1,440 C 1,443 Number Sense D 4,320 MR 2.6, 3.3 19. Describe how to use basic facts and multiples of 10 to multiply 50 200. 50 5 10 and 200 2 100 so 50 200 5 2 10 100. 5 2 10 so 5 2 10 100 10 10 100. 10 10 100 100 100 10,000. page 22 Home Resource and Homework Chapter 3 Lesson 3 E – © CSL Associates, Inc. All rights reserved. 16. Miguel has $76 in dimes. How many