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Adding with the Base Ten System


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Adding with the Base Ten System

  1. 1. Adding with the Base Ten System
  2. 2.
  3. 3. <ul><li>Can you think of a number that doesn't use the digits  </li></ul><ul><li>0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 in it? </li></ul>
  4. 4. EVERY number is made up of the  same  10 digits
  5. 5. <ul><li>643 is bigger than 43 because it has more digits in the number </li></ul>643 43 643 43
  6. 6. We can break the number up by each digit's value, called Place Value
  7. 7. <ul><li>Every number is broken down into places: </li></ul><ul><li>The more digits a number has, the bigger the number is. </li></ul>
  8. 8. When we add numbers we need to line up them by place value. Becomes.... The tens are lined up with the tens  The ones are lined up with the ones
  9. 9. <ul><li>Sometimes, before we add, it helps to think of our base ten blocks. </li></ul> How can you make 28 with base ten blocks? How can you make 39 with base ten blocks?
  10. 10. +
  11. 11. + First combine all of the similar sized manipulatives (ones with ones, tens and tens, etc)
  12. 12. <ul><li>ALWAYS start with the ONES cubes and work your way up to the tens, hundreds, thousands, etc. </li></ul>
  13. 13. 17  ones becomes one 10 and 7 ones =
  14. 14. 5 tens is 50
  15. 15. So then we ADD our 5 tens and our one 10 and seven 1s +
  16. 16. It becomes 6 tens and 7 ones, which is the same as 67
  17. 17. How can we add two double-digit numbers without math blocks?
  18. 18. <ul><li>The first thing you want to do is line up your digits, ones on top of ones, tens on top of tens, etc.  </li></ul>
  19. 19. <ul><li>Once the numbers are lined up, you start with adding the ones , just like before. </li></ul>
  20. 20.
  21. 21. Then we add our tens digits together and we get...... <ul><li>The same answer as before! </li></ul>
  22. 22. Now let's practice adding double-digit numbers  using both ways!