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What are we going to do?

Name. 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 ?.

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What are we going to do?

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  1. Name 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? The value of 9 in 93,671 is _______. 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. The value of 7 in 97,526 is _______.

  2. 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 up changes the number to a greater value. Rounding multi-digit numbers. Round 82,273to the nearest thousand. 82,237 787,530 5,500 4,500 6,000 5,000 5,000 4,000 82,500 785,000 83,000 780,000 790,000 82,000 8,237rounded to the nearest thousand is 82,000because it is nearer in value to 82,000than 83,000. Round 787,530to the nearest ten thousand. 787,530rounded to the nearest ten thousand is 790,000because it is nearer in value to 790,000than 780,000. CFU Would 4,350 rounded to the nearest thousand round up or down? How do you know? A up B down Would 5,670 rounded to the nearest thousand round up or down? How do you know? A up B down In your own words, what does it mean to round a multi-digit number? “Rounding a multi-digit number means __________.”

  3. 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 up changes the number to a greater value. Round multi-digit numbers. Read the problem and identify1 the place value to round to. (circle) Label the number line with the appropriate2 numbers. Place the given number on the number line. Round the number up or down. Interpret3 your answer. (write) 1 2 3 4 5 How did I/you identify the place value to round to? How did I/you label the number line? How did I/you place the given number on the number line? How did I/you round the number? CFU 1 find 2 right for a certain purpose 3 explain Vocabulary 1 2 3 4

  4. 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 up changes the number to a greater value. Round multi-digit numbers. Read the problem and identify the place value to round to. (circle) Label the number line with the appropriate numbers. Place the given number on the number line. Round the number up or down. Interpret your answer. (write) 1 2 3 4 5 How did I/you identify the place value to round to? How did I/you label the number line? How did I/you place the given number on the number line? How did I/you round the number? CFU 1 2 3 4

  5. 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 up changes the number to a greater value. Round multi-digit numbers. Read the problem and identify the place value to round to. (circle) Determine4 whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) 1 2 3 4 3 6 9, 7 1 2 4 5 1, 6 2 3 3 6 5, 7 1 2 4 1 2, 6 2 3 How did I/you identify the place value to be rounded? How did I/you determine whether to round up or down? How did I/you round the number? CFU 4 figure out Vocabulary 1 2 3

  6. 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 up changes the number to a greater value. Round multi-digit numbers. Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) 1 2 3 4 3 2 6, 7 1 2 4 5 7, 6 2 3 How did I/you identify the place value to be rounded? How did I/you determine whether to round up or down? How did I/you round the number? CFU 1 2 3

  7. Skill Development/Guided Practice (continued) 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, 845 610,000 340,000 880,000 810,000 669,961 125,385 695,632 731,892 670,000 690,000 120,000 730,000 Explain the mistake that Eduardo was making when he rounded the numbers above. __________________________________________________________________ ____________________________________________________________________________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ CFU How did I/you determine what the question is asking? How did I/you determine the 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? 1 2 3 4 5

  8. 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 up changes the number to a greater value. Rounding numbers will make it easier to manage money. 1 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. Sample Test Question: 29. Which of the following numbers would be rounded down to the nearest ten thousand? 206,127 783,344 124,478 977,124 Rounding multi-digit numbers will help you do well on tests. 2 Yes Yes Yes Yes No No No No 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? CFU

  9. To round a multi-digit number is to change it to a near value. • Rounding down changes the number to a lesser value. • Rounding up changes the number to a greater value. Skill Closure Round multi-digit numbers. Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) 1 2 3 4 Word Bank round value nearer greater lesser multi-digit 2 4 7, 2 6 2 7 5 8, 6 3 5 Access Common Core 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. ________________________________________ ________________________________________ Summary Closure What did you learn today about rounding multi-digit numbers? (Pair-Share) Use words from the word bank. Day 1 ___________________________________________________________ _________________________________________________________________ Day 2 ___________________________________________________________ _________________________________________________________________

  10. Name 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 up changes the number to a greater value. Round multi-digit numbers. Read the problem and identify the place value to round to. (circle) Label the number line with the appropriate numbers. Place the given number on the number line. Round the number up or down. Interpret your answer. (write) 1 2 3 4 5 7 5 4, 2 0 0 8 9 5, 7 0 7

  11. 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 up changes the number to a greater value. Round multi-digit numbers. Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) 1 2 3 4 5 6 1, 1 9 0 6 5 9, 2 3 2 7 3 5, 3 6 2 7 7 5, 5 4 1

  12. Name Periodic Review 1 4 3 9, 5 7 7 4 2 3, 7 7 1 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. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ 2. When rounding to the nearest thousand,Joseph determined that 534,192 will be rounded up. Explain why Joseph is incorrect. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ 3. When rounding to the nearest hundred thousand,Jody determined that 794,354 will be rounded down. Explain why Jody is correct. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________

  13. Name Periodic Review 2 6 4 5, 1 7 9 6 2 0, 0 6 3 1. Choose Yes or No to indicate whether each statement is true about the number 94,632. 1a. 94,632 rounded to the nearest ten is 94,630. 1b. 94,632 is nearer in value to 94,000 than 95,000. 1c. 94,632 rounded to the nearest hundred thousand is 100,000. Access Common Core O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No 2. Choose Yes or No to indicate whether each statement is true about the number 697,841. 1a. 697,841 rounded to the nearest ten thousand is 690,000. 1b. 697,841 is nearer in value to 700,000 than 690,000. 1c. 697,841 rounded to the nearest thousand is 697,000.

  14. Name Periodic Review 3 6 6 3, 7 8 5 9 4 9, 5 9 4 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? ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ 2. Braden is rounding the number 989,976 to the nearest hundred thousand. He thinks that the answer will be 1,000,000. Do you agree with him? Why or why not? ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________

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