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What are we going to do? What does recognize mean? Recognize means __________.

Learning Objective. We will recognize 1 the place and value in a multi-digit number. What are we going to do? What does recognize mean? Recognize means __________. CFU. Activate Prior Knowledge. How much is the 5 worth in each of the numbers below? A. 571 B. 751. 500.

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What are we going to do? What does recognize mean? Recognize means __________.

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  1. Learning Objective We will recognize1 the place and value in a multi-digit number. What are we going to do? What does recognize mean? Recognize means __________. CFU Activate Prior Knowledge How much is the 5 worth 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 the place and value in a multi-digit number. Make Connection 50 1 know when you see it Vocabulary

  2. 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. • A digit in any place represents one tenth (1/10) as much as it does in the place to its left. CFU Which place is the digit 3 in the number 74.532? How do you know? A tenths B hundredths C thousandths Explain the difference in value of the digit5in the numbers 735and 753. In your own words, what is place value? Place value is __________. Place Value Animated Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Ten Thousands Decimal Point Hundred Thousands . 2 3 2 3 , 7 8 2 2 5 4 1 3 3 × 10 Valueof2,000. Valueof200. 2 location 3 stands for Vocabulary × 10 Valueof0.03. Valueof0.003.

  3. Skill Development/Guided Practice • 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. • A digit in any place represents 10 times as much as it does in the place to its right. • A digit in any place represents one tenth (1/10) as much as it does in the place to its left. How did I/you know which digit to identify? How did I/you identify the place of the digit? How did I/you determine the value of the digit? CFU Recognize the place and value in a multi-digit number. 2 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) 1 3 2 3 4 4 1 7 2, 0 6 3 6 5 0, 2 3 9 hundred thousands ten thousands 100,000 50,000 4, 9 3 6. 7 1 5 1, 3 9 7. 5 2 6 tenths thousandths 0.7 0.006 4 find (synonym) 5 figure out Vocabulary Application Compare the value of the digit 3 in 231 to the value of the digit 3 in 321. T: _______________________________________________________Compare the value of the digit 6 in 642 to the value of the digit 6 in 462. S: _______________________________________________________ The value of the 3 in 231 is 1/10 as much as in 321. The value of the 6 in 642 is 10 times as much as in 462.

  4. Skill Development/Guided Practice (continued) • 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. • A digit in any place represents 10 times as much as it does in the place to its right. • A digit in any place represents one tenth (1/10) as much as it does in the place to its left. How did I/you know which digit to identify? How did I/you identify the place of the digit? How did I/you determine the value of the digit? CFU Recognize the place and value in a multi-digit number. 2 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) 1 3 2 3 4 4 7 5 6, 3 0 4 1 3 9, 7 6 8 5 ten thousands 1 hundred thousands 5 50,000 100,000 1 6, 7 4 9. 5 2 3 4, 3 8 5. 9 1 7 9 tenths 2 hundredths 2 0.02 9 0.9 Application Compare the value of the digit 7 in 84.176 to the value of the digit 7 in 84.167. T: ____________________________________________________________Compare the value of the digit 2 in 37.126 to the value of the digit 2 in 37.216. S: ____________________________________________________________ The value of the 7 in 84.716 is 10 times as much as in 84.167 The value of the 2 in 37.126 is 1/10 as much as in 37.216.

  5. 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 1 2 3 4 12apples. One bag of apples has Ten bags of apples have 5 120apples. What is the value of the digit 2 in both numbers? The value of 2 in 120 is ______. The value of 2 in 12 is ______. 20 2 Compare the value of 2 in 120 to the value of 2 in 12. __________________________________ __________________________________ Compare the value of 2 in 12 to the value of 2 in 120. __________________________________ __________________________________ The value of the 2 in 12 is 1/10 as much as in 120. The value of the 2 in 120 is 10 times as much as in 12.

  6. Relevance • 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. • A digit in any place represents 10 times as much as it does in the place to its right. • A digit in any place represents one tenth (1/10) as much as it does in the place to its left. Recognizing the place and value of multi-digit numbers will help you understand the value of money. 1 A dimeis worth $0.10 A dollar bill is worth $1.00 A dollar bill is worth 10 times as much as a dime. 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 Recognizing the place and value of multi-digit numbers will help you do well on tests. 2 Does anyone else have another reason why it is relevant to recognize the place and value of multi-digit numbers? (Pair-Share) Why is it relevant to recognize the 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

  7. 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. • A digit in any place represents 10 times as much as it does in the place to its right. • A digit in any place represents one tenth (1/10) as much as it does in the place to its left. Recognize the place and value in a multi-digit number. 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) 1 2 3 4 Word Bank place value position worth digit 3 6 5, 4 0 9 6, 7 2 8. 9 5 3 9 tenths hundreds 9 0.9 400 Access Common Core Compare the value of the digit 3 in 73,208 to the value of the digit 3 in 37,208. Summary Closure What did you learn today about recognizing the place and value in a multi-digit number? (Pair-Share) Use words from the word bank.

  8. Independent Practice • 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. • A digit in any place represents 10 times as much as it does in the place to its right. • A digit in any place represents one tenth (1/10) as much as it does in the place to its left. Recognize the place and value in a multi-digit number. 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) 1 2 3 4 3 5 8, 6 0 2 2, 7 8 5. 3 4 thousands tens 8,000 80 7 2, 0 6 3 3 9 7. 5 2 7 ten thousands 2 hundredths 7 70,000 2 0.02 Application Compare the value of the digit 6 in 46,849 to the value of the digit 6 in 64,849. S: ____________________________________________________________Compare the value of the digit 9 in 279.34 to the value of the digit 9 in 273.94. S: ____________________________________________________________ The value of the 6 in 46,849 is 1/10 as much as in 64,849 The value of the 9 in 279.34 is 10 times as much as in 273.94.

  9. Independent 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 1 2 3 4 $37. One thumb drive cost Ten thumb drives cost 5 $370. What is the value of the digit 3 in both numbers? The value of 3 in $370 is ______. The value of 3 in $37 is ______. 300 30 Compare the value of 3 in 370 to the value of 3 in 37. __________________________________ __________________________________ Compare the value of 3 in 37 to the value of 3 in 370. __________________________________ __________________________________ The value of the 3 in 37 is 1/10 as much as in 370. The value of the 3 in 370 is 10 times as much as in 37.

  10. Periodic Review 1 6 2 8, 5 4 7 8 1 6. 2 7 9 hundred thousands tens 600,000 10 6 2, 6 9 3 6 0 6. 4 7 1 2 thousands 1 thousandths 2 2,000 1 0.001 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. One possible answer: 167.982 2. Using the same digits as above, write a number in which the digit 8 has a value 1/10 as much as the digit 8 in the number above. One possible answer: 782.196 3. Using the same digits as above, write a number in which the digit 2 has a value 1/10 as much as the digit 2 in the number above. One possible answer: 967.127

  11. Periodic Review 2 4 4 0, 6 7 3 4 3 5. 2 1 1 hundredths tens 1 0.01 70 Access Common Core 1. Manny has 35,821 stamps. Explain the place and value of each digit in 35,821. How many groups of a thousand stamps could he make? How many would be left over? 3 has a value of 30,000, 5 has a value of 5,000, 8 has a value of 800, 2 has a value of 20, and 1 has a value of 1. Manny can make 35 groups of a thousand stamps and 821 stamps would be left over. 2. Noemi has 12,219 coins. Explain the place and value of each digit in 12,219. How many groups of a thousand coins could she make? How many would be left over? The 1 in the ten-thousands place has a value of 10,000, 2 in the thousands place has a value of 2,000, the 2 in the hundreds place has a value of 200, the 1 in the tens place has a value of 10, and 9 has a value of 9. Noemi can make 12 groups of a thousand coins and 219 coins would be left over. 3. Mallory has 58,174 sports cards. Explain the place and value of each digit in 58,174. How many groups of a thousand sports cards could she make? How many would be left over? Should be similar to above.

  12. Periodic Review 3 6 1, 4 8 7. 5 7 9 3. 4 2 4 tenths ones 4 0.4 7 Access Common Core 1. Choose Yes or No to show whether each statement is true about the number. 648.771 2a. 1 is in the hundreds place. 2b. The value of the digit 2 is 20. 2c. The value of the 9 in the tenthsplace is 1/10 as much as the 9 in the onesplace. O Yes O No O Yes O No O Yes O No 3a. 5 is in the tensplace. 3b. The value of the digit 9 is 900. 3c. The value of the 2 in the hundredths place is 10 times as much as the 2 in the thousandths place. O Yes O No O Yes O No O Yes O No 1a. 8 is in the tensplace. 1b. The value of the digit 6 is 600. 1c. The value of the 7 in the tenthsplace is 1/10 as much as the 7 in the hundredthsplace. O Yes O No O Yes O No O Yes O No 2. Choose Yes or No to show whether each statement is true about the number. 139.926 3. Choose Yes or No to show whether each statement is true about the number. 903.522

  13. EDI – Cognitive, Teaching, and English Learner Strategies Cognitive Strategies Teaching Strategies Language Strategies Content Access Strategies

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