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Place Value

Place Value. It’s Location, Location, Location. Warm-Up. What is the largest number you can make from these digits? 8,4,6,3,8,7,6,9,0,2,4,6 What is the smallest number you can make using the same digits?. Where Are You?. A digit is the term that refers to a single number (0-9)

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Place Value

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  1. Place Value It’s Location, Location, Location

  2. Warm-Up • What is the largest number you can make from these digits? 8,4,6,3,8,7,6,9,0,2,4,6 • What is the smallest number you can make using the same digits?

  3. Where Are You? • A digit is the term that refers to a single number (0-9) • The value of a digit depends on where it is placed in the numeral. • The digit 3 is more valuable in 349 than it is in 439 • Turn to someone at your table and explain why

  4. 9 is all they can handle • Place value bars are organized two ways: • Each bar can only hold up to the value of 9. • Once the value exceeds 9, the numeral must make a bundle of 10 and move to the place value on the left. 18 = 1 bindle of ten and 8 single ones • If we added 5 more to 18, we would have 13 in the ones column. • 13 is 1 bundle of ten and 3 single ones • Therefore 18 + 5 = 2 tens and 3 ones

  5. Are You Up for a Challenge?? • Let’s experiment with place value • Find a partner to complete this task • Work with your partner to add 8 + 6 • You will add using base 5 – this means that each place value can only hold the digits 0-4. Once you get to 5 you need to bundle into a 1 and move that one to the left one place value. • In base 5, 8 + 6 = 24 • 2 bundles of 5 and 4 left over

  6. Want to try Again?!? • Let’s stick with base 5 • Work with a partner to complete these problems: 9 + 14 22 + 6 6 + 2 11 + 7

  7. Want to try Again?!? • And the answers are: 9 + 14 = 43 (4-5’s + 3) 22 + 6 = 103 (1group of 25+ 3) 6 + 2 = 13 (1-5 + 3) 11 + 7 = 33 (3-5’s + 3)

  8. What’s the Value? • As a digit moves to the left, it increases in value • Proof: 3 < 30 < 300 < 3,000 < 30,000 < 300,000 3 30 300 3000 30,000 300,000 The digit 3 has moved to the left. Each jump to the left has increased the value. By how much has the value increased with each jump?

  9. What’s the Value? • As a digit moves to the right, it decreases in value • Proof: 300,000 > 30,000 > 3000 > 300 > 30 > 3 3 0.3 0.03 0.003 0.0003 0.00003 The digit 3 has moved to the right. Each jump to the right has decreased the value. By how much has the value decreased with each jump?

  10. Comparatively Speaking • It is very important that when you compare whole numbers, you line up the place value column. • This way you are sure to be comparing tens to tens and hundreds to hundreds. • Once you have the place value bars lined up, you compare the digits. The digit with the greater value in the same place value column is worth more 3 tens is > than 2 tens or 1 ten 3 tens is < 4, 5, 6, 7, 8 or 9 tens

  11. Practice What You Know • Put these numbers in order from greatest (top) to least (bottom) 35,987 43,800 21,087 35,978 43,080 21086

  12. Check Your Answers • And the answers are: 43,800 43,080 35,987 35,978 21,087 21,086

  13. Just a Few More things • Standard Form – the regular way you write a number using digits and place value 35 • Word Form – writing the value of a number using words instead of digits thirty-five • Expanded Form – separating out the digits and showing the value of each place value 30 + 5

  14. Practice • Write the following numerals in word form and expanded form: 21 196 62 16 3,460 13,000,000

  15. Textbook Time • Take out your math spiral. • Open to the first page and write the heading: • 1.1 page 6 Place Value • Open to page 6 in your textbook • Read the page and complete numbers 1&2 under Explain It • Write your responses in your spiral. • Stand behind your chair when you are finished.

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