Paritial quotients ppt

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Paritial quotients ppt

  1. 1. Partial Quotients • Fourth Grade Mathematics File Name: NECP/Laptop T 12037/C:UsersNECPS4DesktopPartial Quotients MS PPT 1997 File URL: Notes URL
  2. 2. Common Core Standard CCSS.Math.Content.4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
  3. 3. 8 177 Start by setting up the problem like this. It looks just like the traditional long division method, except for the long line that is drawn to the right of the divisor.
  4. 4. 8 177 10 Ask - How many [8s] are in 177? There are at least 10, so that will be the first partial quotient. Notice that you could pick other partial quotients here. You could have started with 20, or even a lower number like 5. A good tip is to start with easy multiples, like 10, 20, 50, or 100.
  5. 5. Multiply 10 * 8 8 177 80 10
  6. 6. Subtract 177 minus 80. 8 177 80 97 10
  7. 7. 8 177 80 97 10 10 Start the process over again. Ask how many [8s] are in 97? Again, there are at least 10.
  8. 8. Multiply 10 * 8. 8 177 80 97 80 10 10
  9. 9. Subtract 97 minus 80. 8 177 80 97 80 17 10 10
  10. 10. 8 177 80 97 80 17 10 10 2 Start the process again. Ask - how many [8s] are in 17. There are at least 2.
  11. 11. Multiply 2 * 8. 8 177 80 97 80 17 16 10 10 2
  12. 12. 8 177 80 97 80 - 17 16 1 10 10 2 Subtract 17 minus 16.
  13. 13. 8 177 80 97 80 - 17 16 1 10 10 2 22 Since the 1 is less than 8, you are finished. Now add up the partial quotients - 10 plus 10 plus 2.
  14. 14. 22 R1 8 177 80 97 80 - 17 16 1 10 10 2 22 Write the answer above with the remainder. You are finished.
  15. 15. 8 177 Notice that you could have done the problem differently by picking different partial quotients. You could have completed the problem in fewer steps by picking partial quotients that were closer to the answer. Here, the student starts with a partial quotient of 20.
  16. 16. 8 177 20
  17. 17. Multiply 20 * 8 8 177 160 20
  18. 18. Subtract 177 minus 160. 8 177 160 17 20
  19. 19. 8 177 160 17 20 2 Start the process over again. Ask how many [8s] are in 17? There are at least 2.
  20. 20. Multiply 2 * 8. 8 177 160 17 16 20 2
  21. 21. Subtract 17 minus 16. 8 177 160 17 16 1 20 2
  22. 22. 8 177 160 17 16 1 20 2 22 Since the 1 is less than 8, you are finished. Now add up the partial quotients - 20 plus 2.
  23. 23. 22 R1 8 177 20 160 17 2 16 1 22 Write the answer above with the remainder. You are finished.

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