Learning Objective We will round multidigit numbers CFU

Learning Objective We will round multi-digit numbers. CFU What are we going to do? Activate Prior Knowledge Place value: The place is the position of a digit in a number. The value is the worth of the digit due to its position. 1. What is the value of the digit 9? 93, 671 The value of 9 in 93, 671 is 90, 000 _______. 2. What is the value of the digit 7? Make Connection Students, you already know how to identify the place value of numbers. Now, we are going to use place value to round multi-digit numbers. 97, 526 The value of 7 in 97, 526 is 97, 000 _______. SM EDI® Lessons READY TO TEACH © 2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Use place value understanding to round multi-digit whole numbers to any place. Lesson to be used by EDI-trained teachers only.

Concept Development To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Rounding multi-digit numbers. Round 82, 273 to the nearest thousand. CFU 82, 237 82, 000 Would 4, 350 rounded to the nearest thousand round up or down? How do you know? 82, 500 83, 000 82, 237 rounded to the nearest thousand is 82, 000 because it is nearer in value to 82, 000 than 83, 000. Round 787, 530 to the nearest ten thousand. 785, 000 Would 5, 670 rounded to the nearest thousand round up or down? How do you know? 5, 500 6, 000 A up B down 790, 000 787, 530 rounded to the nearest ten thousand is 790, 000 because it is nearer in value to 790, 000 than 780, 000. © 2013 All rights reserved. 4, 500 A up B down 5, 000 787, 530 780, 000 4, 000 In your own words, what does it mean to round a multi-digit number? “Rounding a multi-digit number means _____. ” CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify 1 the place value to round to. (circle) 2 Label the number line with the appropriate 2 numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret 3 your answer. (write) CFU 1 How did I/you identify the place value to round to? 2 How did I/you label the number line? 3 How did I/you place the 1. Round to the nearest thousand. 2. Round to the nearest thousand. 45, 692 36, 428 45, 692 45, 000 45, 500 46, 000 36, 000 _____ 45, 692 rounded to the nearest thousand is ____ because 46, 000 it is nearer in value to 46, 000 than ______________ 45, 000. __ _______________. © 2013 All rights reserved. 4 given number on the number line? How did I/you round the number? 36, 550 37, 000 _____ 36, 428 rounded to the nearest thousand is 36, 000 ____ because it _______________ is nearer in value to 36, 000 than 37, 000. _ _______________. Vocabulary find right for a certain purpose 3 explain 1 2 CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Label the number line with the appropriate numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret your answer. (write) CFU 1 How did I/you identify the place value to round to? 2 How did I/you label the number line? 3 How did I/you place the 3. Round to the nearest ten thousand. 4. Round to the nearest ten thousand. 213, 462 557, 065 213, 462 210, 000 215, 000 220, 000 550, 000 213, 462 rounded to the nearest _____ ten thousand 210, 000 is ____ it is nearer in value to 210, 000 than because 220, 000. ______________ __ _______________. © 2013 All rights reserved. 4 given number on the number line? How did I/you round the number? 555, 000 560, 000 557, 065 rounded to the nearest _____ ten thousand 560, 000 is ____ because it _______________ is nearer in value to 560, 000 than 550, 000. _ _______________. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Label the number line with the appropriate numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret your answer. (write) CFU 1 How did I/you identify the place value to round to? 2 How did I/you label the number line? 3 How did I/you place the 5. Round to the nearest hundred thousand. 6. Round to the nearest hundred thousand. 821, 346 360, 428 821, 346 800, 000 850, 000 900, 000 300, 000 821, 346 rounded to the nearest _____ hundred thousand 800, 000 is ____ it is nearer in value to because 800, 000 than 900, 000. ______________________________. © 2013 All rights reserved. 4 given number on the number line? How did I/you round the number? 350, 000 400, 000 365, 428 rounded to the nearest _____ hundred thousand 400, 000 is ____ it is nearer in value to because 400, 000 than 300, 000. ______________________________. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine 4 whether to round up or down. CFU Hint: Look at the digit in the next place value lower. 1 How did I/you identify the 3 Round the number. 4 Interpret your answer. (write) 7. Round to the nearest thousand. 3 6 9, 7 1 2 369, 712 rounded to the nearest _____ thousand is ____ 370, 000 because _______________ it is nearer in value to 370, 000 than _______________. 369, 000. © 2013 All rights reserved. place value to be rounded? 2 How did I/you determine 8. Round to the nearest thousand. 3 whether to round up or down? How did I/you round the number? 4 5 1, 6 2 3 451, 623 rounded to the nearest _____ thousand is ____ because 452, 000 it_______________ is nearer in value to 452, 000 than 451, 000. _ _______________. Vocabulary 4 figure out CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. CFU Hint: Look at the digit in the next place value lower. 1 How did I/you identify the 3 Round the number. 4 Interpret your answer. (write) 9. Round to the nearest ten thousand. 3 6 5, 7 1 2 365, 712 rounded to the nearest _____ 370, 000 because ten thousand is ____ it is nearer in value to 370, 000 than _______________ 360, 000. _______________. © 2013 All rights reserved. place value to be rounded? 2 How did I/you determine 10. Round to the nearest ten thousand. 3 whether to round up or down? How did I/you round the number? 4 1 2, 6 2 3 _____ rounded to the nearest 412, 623 ten thousand is ____ 410, 000 because it is nearer in value to 410, 000 than ______________ 420, 000. __ _______________. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. CFU Hint: Look at the digit in the next place value lower. 1 How did I/you identify the 3 Round the number. 4 Interpret your answer. (write) 11. Round to the nearest hundred thousand. 3 2 6, 7 1 2 _____ 326, 712 rounded to the nearest hundred thousand is 300, 000 ____ is nearer in value to because it____________ 300, 000 than 400, 000. _______________. © 2013 All rights reserved. place value to be rounded? 2 How did I/you determine 12. Round to the nearest hundred thousand. 3 whether to round up or down? How did I/you round the number? 4 5 7, 6 2 3 457, 623 rounded to the nearest _____ 500, 000 hundred thousand is ____ it is nearer in value to because 500, 000 than 400, 000. ______________________________. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) CFU 1 How did I/you determine what the question is asking? 2 How did I/you determine the 3 4 5 math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? Eduardo rounded the following numbers to the nearest ten thousand. Some of his answers are incorrect. Cross out any incorrect answers and write in the correct ones. 809, 803 613, 782 884, 097 345, 845 610, 000 340, 000 880, 000 810, 000 350, 000 669, 961 695, 632 125, 385 731, 892 670, 000 690, 000 120, 000 730, 000 700, 000 130, 000 Explain the mistake that Eduardo was making when he rounded the numbers above. _________________________________ Eduardo rounded the numbers with 5 in the thousands place down. He _________________________________ should have rounded those numbers up. _________________________________ © 2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Relevance To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. 1 Rounding numbers will make it easier to manage money. Sarah wanted to buy a new car. The price was $19, 875. She also wanted to buy a new television that cost $1, 598. She knows that she needs about $22, 000 to get both. 2 Rounding multi-digit numbers will help you do well on tests. Sample Test Question: 29. Which of the following numbers would be rounded down to the nearest ten thousand? © 2013 All rights reserved. 206, 127 Yes No 783, 344 Yes No 124, 478 Yes No 977, 124 Yes No CFU Does anyone else have another reason why it is relevant to round multi-digit numbers? (Pair-Share) Why is it relevant to round multi-digit numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Skill Closure Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. Hint: Look at the digit in the next place value lower. 3 Round the number. 4 Interpret your answer. (write) 1. Round to the nearest thousand. 2. Round to the nearest ten thousand. 2 4 7, 2 6 2 247, 262 rounded to the nearest _____ 247, 000 because thousand is ____ it is nearer in value to 247, 000 than _______________ 248, 000. _______________. Access Common Core 7 5 8, 6 3 5 758, 635 rounded to the nearest _____ 760, 000 ten thousand is ____ because it_______________ is nearer in value to 760, 000 than 750, 000. _ _______________. Albert thinks that 253, 430 rounded to the nearest ten thousand is 260, 000. Do you agree with his answer? Why or why not? Use the number line to explain. I do not agree with Albert because 253, 430 is closer to 250, 000. 253, 430 Summary Closure 250, 000 255, 000 260, 000 Word Bank round value nearer greater lesser multi-digit What did you learn today about rounding multi-digit numbers? (Pair-Share) Use words from the word bank. © 2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Independent Practice To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Label the number line with the appropriate numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret your answer. (write) 1. Round to the nearest hundred thousand. 2. Round to the nearest ten thousand. 7 5 4, 2 0 0 8 9 5, 7 0 7 895, 707 754, 200 700, 000 750, 000 800, 000 890, 000 754, 200 rounded to the nearest _____ hundred thousand 800, 000 is ____ it is nearer in value to because 800, 000 than 700, 000. ______________________________. © 2013 All rights reserved. 895, 000 900, 000 895, 707 rounded to the nearest _____ ten thousand 900, 000 is ____ because it_______________ is nearer in value to 900, 000 than 890, 000. __ _______________. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Independent Practice (continued) To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding upchanges the number to a greater value. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. Hint: Look at the digit in the next place value lower. 3 Round the number. 4 Interpret your answer. (write) 3. Round to the nearest hundred thousand. 4. Round to the nearest hundred thousand. 5 6 1, 1 9 0 6 5 9, 2 3 2 561, 190 rounded to the nearest _____ hundred thousand 600, 000 is ____ it is nearer in value to because 600, 000 than 500, 000. ______________________________. 659, 232 rounded to the nearest _____ hundred thousand 700, 000 is ____ it is nearer in value to because 700, 000 than 600, 000. ______________________________. 5. Round to the nearest ten thousand. 6. Round to the nearest thousand. 7 3 5, 3 6 2 735, 362 _____ rounded to the nearest 740, 000 ten ____ because it isthousand nearer inisvalue to 740, 000 than _______________ 730, 000. _______________. © 2013 All rights reserved. 7 7 5, 5 4 1 775, 541 _____ rounded 776, 000 to the nearest is value ____ because it thousand is nearer in to 776, 000 than _______________ 775, 000. _ CCSS 4 Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. _______________. th Lesson to be used by EDI-trained teachers only.

Periodic Review 1 1. Round to the nearest ten thousand. 4 3 9, 5 7 7 439, 577 rounded to the nearest _____ 440, 000 because ten thousand is ____ it is nearer in value to 440, 000 than _______________ 430, 000. _______________. 2. Round to the nearest hundred thousand. 4 2 3, 7 7 1 423, 771 rounded to the nearest _____ hundred thousand is 400, 000 ____ it is nearer in value to because 400, 000 than 500, 000. ______________________________. Access Common Core 1. When rounding to the nearest ten thousand, Dina determined that 967, 583 will be rounded down. Explain why Dina is incorrect because 7 is in the thousands place. The number is closer to 970, 000 than 960, 000. 2. When rounding to the nearest thousand, Joseph determined that 534, 192 will be rounded up. Explain why Joseph is incorrect because 1 is in the hundreds place. The number is closer to 534, 000 than 535, 000. 3. When rounding to the nearest hundred thousand, Jody determined that 794, 354 will be rounded down. Explain why Jody is correct. Dina is correct because 9 is in the ten thousands place. The number is closer to 800, 000 than 700, 000. © 2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Periodic Review 2 1. Round to the nearest thousand. 6 4 5, 1 7 9 645, 179 rounded to the nearest _____ 645, 000 because thousand is ____ it is nearer in value to 645, 000 than _______________ 646, 000. _______________. 2. Round to the nearest hundred thousand. 6 2 0, 0 6 3 620, 063 rounded to the nearest _____ hundred thousand 600, 000 is ____ it is nearer in value to because 600, 000 than 700, 000. ______________________________. Access Common Core 1. Choose Yes or No to indicate whether each statement is true about the number 94, 632. O Yes O No 1 a. 94, 632 rounded to the nearest ten is 94, 630. 1 b. 94, 632 is nearer in value to 94, 000 than 95, 000. O Yes O No 1 c. 94, 632 rounded to the nearest hundred thousand is 100, 000. O Yes O No 2. Choose Yes or No to indicate whether each statement is true about the number 697, 841. 1 a. 697, 841 rounded to the nearest ten thousand is 690, 000. O Yes O No 1 b. 697, 841 is nearer in value to 700, 000 than 690, 000. O Yes O No 1 c. 697, 841 rounded to the nearest thousand is 697, 000. O Yes O No © 2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.

Periodic Review 3 1. Round to the nearest hundred thousand. 9 4 9, 5 9 4 949, 594 rounded to the nearest _____ hundred thousand 900, 000 is ____ it is nearer in value to because 900, 000 than 1, 000. ______________________________. 2. Round to the nearest ten thousand. 6 6 3, 7 8 5 663, 785 rounded to the nearest _____ 660, 000 ten thousand is ____ because it_______________ is nearer in value to 660, 000 than 670, 000. _ _______________. Access Common Core 1. Alice is rounding the number 797, 908 to the nearest ten thousand. She thinks that the rounded number will be 790, 000. Do you agree with her? Why or why not? No, I do not agree with her. The number is closer to 800, 000 than 790, 000. 2. Braden is rounding the number 989, 976 to the nearest hundred thousand. He thinks that the answer will be 1, 000. Do you agree with him? Why or why not? Yes, I do agree with him. The number is closer to 1, 000 than 900, 000. © 2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3. 0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.