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Long Division & MathLine

Long Division . Long Division & MathLine. ____ 6)192. First Problem:. Long Division . For traditional Long Division, teach the algorithm: 1) Divide or D 2) Multiply or M 3) Subtract or S 4) Check or 5) Bring Down or BD. Long Division . Divide = D Multiply = M

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Long Division & MathLine

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  1. Long Division Long Division & MathLine ____ 6)192 First Problem:

  2. Long Division • For traditional Long Division, • teach the algorithm: • 1) Divide or D • 2) Multiply or M • 3) Subtract or S • 4) Check or • 5) Bring Down or BD

  3. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Take the problem ____ 6)192

  4. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 6 into 1? ____ 6)192

  5. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Put 1 on MathLine ____ 6)192

  6. Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Long Division 6 into 1? No ____ 6)192

  7. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 6 into 19? ____ 6)192

  8. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Put 19 on MathLine ____ 6)192

  9. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD For long division on MathLine ALWAYS start dividing from theleft

  10. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD ____ 6)192 6 into 19? Yes, how many times? One Group of 6 2 3 4 5 6 1 1

  11. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD ____ 6)192 Two Groups of 6 2 3 4 5 6 1 1 1 2

  12. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD ____ 6)192 Three Groups of 6 2 3 4 5 6 1 1 1 2 3

  13. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Put a 3 above the 19 of 192 3 ____ 6)192

  14. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Now multiply 3 X 6 3 ____ 6)192

  15. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Make sure the students do not multiply the remainder back in! Only multiply 3 X 6, or 3 groups of 6

  16. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 3 Multiply 3 x 6 ____ 6)192 3 Groups of 6

  17. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 3 Multiply 3 x 6 ____ 6)192 3 Groups of 6

  18. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 3 _ ___ 6)192 We multiply 3 x 6 and get 18, so we put the 18 below 19 18

  19. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 3 _ ___ 6)192 -18 Subtract 18 from 19, to get a difference of 1 1

  20. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 3 _ ___ 6)192 -18 Remainder of 1, ‘s out on MathLine 1

  21. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 3 _ ___ 6)192 -18 Bring down the 2 to get 12 2 1

  22. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Put 12 on MathLine

  23. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD _ 3_ 6)192 -18 12 Does 6 go into 12? How many times? Yes

  24. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD _ 3_ 6)192 -18 12 One group of 6 2 3 4 5 6 1

  25. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD _ 3_ 6)192 -18 12 Two groups of 6 2 3 4 5 6 1

  26. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 2 _ 3 _ 6)192 -18 12 Put a 2 above the 2 of 192

  27. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD 2 _ 3 _ 6)192 -18 12 Now multiply 2 x 6

  28. Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Long Division 2 x 6 = 12 2 Groups of 6

  29. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD __32 6) 192 -1812 Put 12 below the 12 12

  30. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD __32 6) 192 -1812 Subtract 12 from 12 -12 0

  31. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD __32 6) 192 -1812 Remainder of 0, ‘s out on MathLine -12 0

  32. Long Division • Divide = D • Multiply = M • Subtract = S • Check = • Bring Down = BD Recap for Long Division • MathLine makes the algorithm concrete, • steps are organized • Multiplication problem is set up • Check step is built in • Makes long division FUN for students

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