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500 50 We will recognize1 place and value in a multi-digit number.
Learning Objective We will recognize1 place and value in a multi-digit number. What are we going to do? What does recognize mean? Recognize means __________. CFU Activate Prior Knowledge What is the value of 5 in each of the numbers below? A. 571 B. 751 500 Students, you already know that digits can have a different value depending on their place in a number. Now, we will recognize place and value in a multi-digit number. Make Connection 50 1 know when you see it Vocabulary
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, 4 5 2 8 7 2 2 Place Value Ones Tens Hundreds Thousands
Concept Development Place value: The place is the position2 of a digit in a number. The value is the worth of the digit due to its position. A digit in any place represents3 10 times as much as it does in the place to its right. Place Value 4 5 2 8 7 Ones Tens Hundreds Thousands Ten Thousands Hundred Thousands , Animated Which place is the digit 4 in the number 74,532? How do you know? A tens B hundreds C thousands Explain the difference in value of the digit 5 in the numbers 735 and 753. In your own words, what is place value? Place value is __________. CFU 2 2 × 10 Value of 2,000. Value of 200. 2 location 3 stands for Vocabulary
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Skill Development/Guided Practice
Place value: The place is the position of a digit in a number. A digit in any place represents 10 times as much as it does in the place to its right. The value is the worth of the digit due to its position. Read the question to find which digit to identify4. (underline) Identify that digit in the number. (circle) Identify the place of the digit. (write) Hint: Use the place value chart. Determine5 the value of the digit. (write) Recognize place and value in a multi-digit number. 1 2 3 4 How did I/you identify the place of the digit? How did I/you determine the value of the digit? CFU 3 4 1. What is the value of the digit 1? 1 is in the ______________ place. The value of 1 in 172,063 is _________. 2. What is the value of the digit 5? 5 is in the ______________ place. The value of 5 in 650,239 is _________. 3. What is the value of the digit 7? 7 is in the ______________ place. The value of 7 in 936,715 is _______. 4. What is the value of the digit 7? The value of 7 in 397,526 is _______. 1 7 2, 0 6 3 6 5 0, 2 3 9 hundred thousands ten thousands 100,000 50,000 9 3 6, 7 1 5 3 9 7, 5 2 6 hundreds thousands 700 7,000 4 find (synonym) 5 figure out Vocabulary
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Skill Development/Guided Practice (continued)
Place value: The place is the position of a digit in a number. A digit in any place represents 10 times as much as it does in the place to its right. The value is the worth of the digit due to its position. Read the question to find which digit to identify. (underline) Identify that digit in the number. (circle) Identify the place of the digit. (write) Hint: Use the place value chart. Determine the value of the digit. (write) Recognize place and value in a multi-digit number. 1 2 3 4 How did I/you identify the place of the digit? How did I/you determine the value of the digit? CFU 3 4 5. Which digit is in the ten thousands place? ___ is in the _______________ place. The value of ___ in 756,304 is __________. 6. Which digit is in the ten thousands place? The value of ___ in 139,768 is __________. 7. Which digit is in the hundred thousands place? The value of ___ in 749,523 is __________. 8. Which digit is in the hundred thousands place? The value of ___ in 385,917 is __________. 7 5 6, 3 0 4 1 3 9, 7 6 8 5 ten thousands 3 ten thousands 5 50,000 3 30,000 7 4 9, 5 2 3 3 8 5, 9 1 7 7 hundred thousands 3 hundred thousands 7 700,000 3 300,000
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_________________________________________________________
Skill Development/Guided Practice (continued) 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? CFU 2 1 3 4 5 9. Compare the value of the digit 3 in 321,456 to the value of the digit 3 in 231,687. _________________________________________________________ 10. Compare the value of the digit 6 in 64,287 to the value of the digit 6 in 46,287. 11. Compare the value of the digit 8 in 87,196 to the value of the digit 8 in 78,161. 12. Compare the value of the digit 3 in 137,126 to the value of the digit 3 in 123,216. The value of the 3 in 321,456 is 10 times as much as in 231,687. The value of the 6 in 64,287 is 10 times as much as in 46,287. The value of the 8 in 87,196 is 10 times as much as in 78,161. The value of the 3 in 137,126 is 10 times as much as in 123,216.
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Relevance Place value: The place is the position of a digit in a number. A digit in any place represents 10 times as much as it does in the place to its right. The value is the worth of the digit due to its position. 1 Recognizing place and value of multi-digit numbers will help you understand the value of money. A hundred dollar bill is worth $100 A ten dollar bill is worth $10 A hundred dollar bill is worth 10 times as much as a ten dollar bill. 2 Recognizing place and value of multi-digit numbers will help you do well on tests. Sample Test Question: 10. How much greater is the value of the digit 5 in 583,607 than the value of the digit 5 in 352,601? A 10 times B 100 times C 1,000 times D 10,000 times Does anyone else have another reason why it is relevant to recognize place and value of multi-digit numbers? (Pair-Share) Why is it relevant to recognize place and value of multi-digit numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU
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Place value: The place is the position of a digit in a number.
A digit in any place represents 10 times as much as it does in the place to its right. The value is the worth of the digit due to its position. Skill Closure Read the question to find which digit to identify. (underline) Identify that digit in the number. (circle) Identify the place of the digit. (write) Hint: Use the place value chart. Determine the value of the digit. (write) Recognize place and value in a multi-digit number. 1 2 3 4 Word Bank place value position worth multi-digit number 1. What is the value of the digit 4? 4 is in the ______________ place. The value of 4 in 365,409 is _________. 2. Which digit is in the ten thousands place? ___ is in the _______________ place. The value of ___ in 728,953 is ________. 3 6 5, 4 0 9 7 2 8, 9 5 3 hundreds 2 ten thousands 400 2 20,000 Access Common Core Compare the value of the digit 7 in 73,208 to the value of the digit 7 in 37,208. The value of the 7 in 73,208 is 10 times as much as in 37,208. Summary Closure What did you learn today about recognizing place and value in a multi-digit number? (Pair-Share) Use words from the word bank.
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Independent Practice Place value: The place is the position of a digit in a number. A digit in any place represents 10 times as much as it does in the place to its right. The value is the worth of the digit due to its position. Read the question to find which digit to identify. (underline) Identify that digit in the number. (circle) Identify the place of the digit. (write) Hint: Use the place value chart. Determine the value of the digit. (write) Recognize place and value in a multi-digit number. 1 2 3 4 1. What is the value of the digit 8? 8 is in the ______________ place. The value of 8 in 358,602 is _________. 2. What is the value of the digit 8? The value of 8 in 278,534 is ________. 3. Which digit is in the ten thousands place? ___ is in the _______________ place. The value of ___ in 72,063 is __________. 4. Which digit is in the hundreds place? The value of ___ in 39,752 is __________. 3 5 8, 6 0 2 2 7 8, 5 3 4 thousands thousands 8,000 8,000 7 2, 0 6 3 3 9, 7 5 2 7 ten thousands 7 hundreds 7 70,000 7 700 Application Compare the value of the digit 6 in 64,849 to the value of the digit 6 in 46,849. S: ____________________________________________________________ Compare the value of the digit 9 in 27,934 to the value of the digit 9 in 27,394. S: ____________________________________________________________ The value of the 6 in 64,849 is 10 times as much as in 46,849. The value of the 9 in 27,934 is 10 times as much as in 27,394.
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Periodic Review 1 1. What is the value of the digit 6? 6 is in the ______________ place. The value of 6 in 628,547 is _________. 2. What is the value of the digit 1? 1 is in the ______________ place. The value of 1 in 816,279 is ________. 3. Which digit is in the thousands place? ___ is in the _______________ place. The value of ___ in 62,693 is __________. 4. Which digit is in the ten thousands place? The value of ___ in 606,471 is __________. 6 2 8, 5 4 7 8 1 6, 2 7 9 hundred thousands ten thousands 600,000 10,000 6 2, 6 9 3 6 0 6, 4 7 1 2 thousands ten thousands 2 2,000 Access Common Core 8 1 6, 2 7 9 1. Using the same digits as the number above, write a number in which the digit 6 has a value 10 times as much as the digit 6 in the number above. 861,279 (answers will vary) 2. Using the same digits as above, write a number in which the digit 1 has a value 10 as much as the digit 1 in the number above. 168,279 (answers will vary)
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Periodic Review 2 1. What is the value of the digit 7? 7 is in the ______________ place. The value of 7 in 440,673 is _________. 2. Which digit is in the hundred thousands place? ___ is in the _______________ place. The value of ___ in 435,210 is ________. 4 4 0, 6 7 3 4 3 5, 2 1 0 tens 4 hundred thousands 70 4 400,000 Access Common Core 1. Manny has 35,821 stamps. How many groups of a thousand stamps could he make? How many would be left over? Manny could make 35 groups of 1,000 stamps and 821 would be left over. 2. Noemi has 12,219 coins. How many groups of a thousand coins could she make? How many would be left over? Noemi could make 12 groups of 1,000 coins and 219 would be left over. 3. Mallory has 58,174 sports cards. How many groups of a thousand sports cards could she make? How many would be left over? Mallory could make 58 groups of 1,000 sports cards and 174 would be left over.
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Periodic Review 3 1. What is the value of the digit 5? 5 is in the ______________ place. The value of 5 in 614,875 is ________. 2. Which digit is in the hundreds place? ___ is in the _______________ place. The value of ___ in 793,427 is ________. 6 1 4, 8 7 5 7 9 3, 4 2 7 ones 4 hundreds 5 4 400 Access Common Core 1. Choose Yes or No to show whether each statement is true about the number. 1a. 8 is in the tens place. 1b. The value of the digit 6 is 600,000. 1c. The value of the 7 in the tens place is 10 times as much as the 7 in the hundreds place. O Yes O No 648,771 2. Choose Yes or No to show whether each statement is true about the number. 2a. 1 is in the hundreds place. 2b. The value of the digit 2 is 20. 2c. The value of the 9 in the thousands place is 10 times as much as the 9 in the hundreds place. O Yes O No 139,926 3. Choose Yes or No to show whether each statement is true about the number. 3a. 5 is in the tens place. 3b. The value of the digit 9 is 90,000. 3c. The value of the 2 in the thousands place is 10 times as much as the 2 in the tens place. O Yes O No 902,523
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EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective: We will recognize place and value in a multi-digit number. Cognitive Strategies Teaching Strategies Elaboration Demonstration Language Strategies Targeted Vocabulary Academic recognize, position, represent, identify, determine Content place value Support Vocabulary Strategy Multiple-Meaning Synonym position, represent, identify Definition recognize, place value, determine Homophone Internal Context Clue Listen, Speak Similar Sounds Read Tracked Reading Write Writing Content Access Strategies Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures
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