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6-5 Multiplying Decimals
         Math Notes
       Number Sense 2.1
Find 2.3 x 1.5

      2.3
     x 1.5
Find 2.3 x 1.5
 STEP ZERO:
Use guidelines
to keep work
                       2.3
                      x 1.5
    neat.
Find 2.3 x 1.5
 STEP ZERO:
Use guidelines
to keep work
                       2.3
                      x 1.5
    neat.
Find 2.3 x 1.5
                                     STEP ONE:
 STEP ZERO:                          Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.
Find 2.3 x 1.5
                                     STEP ONE:
 STEP ZERO:                          Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.
Find 2.3 x 1.5
 STEP ZERO:              1           STEP ONE:
                                     Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.




                          5
Find 2.3 x 1.5
 STEP ZERO:              1           STEP ONE:
                                     Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.




                          5
Find 2.3 x 1.5
 STEP ZERO:              1           STEP ONE:
                                     Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.




                        15
Find 2.3 x 1.5
 STEP ZERO:              1           STEP ONE:
                                     Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.




                      1 15
Find 2.3 x 1.5
 STEP ZERO:              1           STEP ONE:
                                     Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.




                      1 15            STEP TWO:
                                  Place a zero in the
                                       ones place.
                                    (PLACEHOLDER)
                                      Scratch out
                                     previous work.
Find 2.3 x 1.5
                                     STEP ONE:
 STEP ZERO:                          Multiply by
Use guidelines
to keep work
                       2.3        the ones. Regroup
                                    if necessary.



                      x 1.5
    neat.




                      1 15            STEP TWO:
                                  Place a zero in the


                          0            ones place.
                                    (PLACEHOLDER)
                                      Scratch out
                                     previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                        2.3        the ones. Regroup
                                     if necessary.



                       x 1.5
    neat.




 STEP THREE:
Multiply by the        1 15            STEP TWO:
                                   Place a zero in the


                           0
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                        2.3        the ones. Regroup
                                     if necessary.



                       x 1.5
    neat.




 STEP THREE:
Multiply by the        1 15            STEP TWO:
                                   Place a zero in the


                           0
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                        2.3        the ones. Regroup
                                     if necessary.



                       x 1.5
    neat.




 STEP THREE:
Multiply by the        1 15            STEP TWO:
                                   Place a zero in the


                         30
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                        2.3        the ones. Regroup
                                     if necessary.



                       x 1.5
    neat.




 STEP THREE:
Multiply by the        1 15            STEP TWO:
                                   Place a zero in the


                         30
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                        2.3        the ones. Regroup
                                     if necessary.



                       x 1.5
    neat.




 STEP THREE:
Multiply by the        1 15            STEP TWO:



                       23 0
                                   Place a zero in the
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                       2.3         the ones. Regroup
                                     if necessary.



                      x 1.5
    neat.




 STEP THREE:
Multiply by the       1 15             STEP TWO:



                     +23 0
                                   Place a zero in the
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                           2.3     the ones. Regroup
                                     if necessary.



                          x 1.5
    neat.




 STEP THREE:
Multiply by the           1 15         STEP TWO:



                         +23 0
                                   Place a zero in the
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out
                                      previous work.
     STEP FOUR:
  Add the products.
 Regroup if necessary.
Find 2.3 x 1.5
                                      STEP ONE:
 STEP ZERO:                           Multiply by
Use guidelines
to keep work
                           2.3     the ones. Regroup
                                     if necessary.



                          x 1.5
    neat.




 STEP THREE:
Multiply by the           1 15         STEP TWO:



                         +23 0
                                   Place a zero in the
tens. Regroup
                                        ones place.
 if necessary.
                                     (PLACEHOLDER)
                                       Scratch out

     STEP FOUR:
  Add the products.
 Regroup if necessary.
                          34 5        previous work.
Find 2.3 x 1.5

     2.3
    x 1.5
    1 15
   +23 0
    34 5
Find 2.3 x 1.5
    STEP FIVE:
Count the number of
   decimal places.
                    2.3
                   x 1.5
                   1 15
                  +23 0
                   34 5
Find 2.3 x 1.5
    STEP FIVE:
Count the number of
   decimal places.
                    2.3
                   x 1.5
                           1 decimal place

                           1 decimal place

                   1 15
                  +23 0
                   34 5
Find 2.3 x 1.5
      STEP FIVE:
  Count the number of
     decimal places.
                          2.3
                         x 1.5
                                 1 decimal place

                                 1 decimal place

                         1 15
     STEP SIX:
   Make sure the
number of decimals


                        +23 0
places is included in
    your answer.



                         34 5
Find 2.3 x 1.5
      STEP FIVE:
  Count the number of
     decimal places.
                          2.3
                         x 1.5
                                 1 decimal place

                                 1 decimal place

                         1 15
     STEP SIX:
   Make sure the
number of decimals


                        +23 0
places is included in
    your answer.



                         3.4 5
Find 0.76 x 0.9

     0.76
     x 0.9
Find 0.76 x 0.9
 STEP ZERO:
Use guidelines
to keep work
                      0.76
                      x 0.9
    neat.
Find 0.76 x 0.9
 STEP ZERO:
Use guidelines
to keep work
                      0.76
                      x 0.9
    neat.
Find 0.76 x 0.9
                                  STEP ONE:
 STEP ZERO:                       Multiply by
Use guidelines
to keep work
                      0.76     the ones. Regroup
                                 if necessary.



                      x 0.9
    neat.
Find 0.76 x 0.9
                                  STEP ONE:
 STEP ZERO:                       Multiply by
Use guidelines
to keep work
                      0.76     the ones. Regroup
                                 if necessary.



                      x 0.9
    neat.
Find 0.76 x 0.9
                          5
                                  STEP ONE:
 STEP ZERO:                       Multiply by
Use guidelines
to keep work
                      0.76     the ones. Regroup
                                 if necessary.



                      x 0.9
    neat.




                          4
Find 0.76 x 0.9
                          5
                                  STEP ONE:
 STEP ZERO:                       Multiply by
Use guidelines
to keep work
                      0.76     the ones. Regroup
                                 if necessary.



                      x 0.9
    neat.




                          4
Find 0.76 x 0.9
                          5
                                  STEP ONE:
 STEP ZERO:                       Multiply by
Use guidelines
to keep work
                      0.76     the ones. Regroup
                                 if necessary.



                      x 0.9
    neat.




                        84
Find 0.76 x 0.9
                                  STEP ONE:
 STEP ZERO:                       Multiply by
Use guidelines
to keep work
                      0.76     the ones. Regroup
                                 if necessary.



                      x 0.9
    neat.




                      684
Find 0.76 x 0.9

     0.76
     x 0.9
     684
Find 0.76 x 0.9

                      0.76
                      x 0.9
                      684
    STEP TWO:
Count the number of
   decimal places.
Find 0.76 x 0.9

                      0.76
                      x 0.9
                              2 decimal place

                              1 decimal place

                      684
    STEP TWO:
Count the number of
   decimal places.
Find 0.76 x 0.9

                           0.76
                           x 0.9
                                   2 decimal place

                                   1 decimal place

                           684
    STEP TWO:
Count the number of
   decimal places.



           STEP THREE:
          Make sure the
       number of decimals
       places is included in
           your answer.
Find 0.76 x 0.9

                        0.76
                         x 0.9
                                 2 decimal place

                                 1 decimal place

                       0.6 8 4
    STEP TWO:
Count the number of
   decimal places.



           STEP THREE:
          Make sure the
       number of decimals
       places is included in
           your answer.

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6-5 Multiplying Decimals

  • 1. 6-5 Multiplying Decimals Math Notes Number Sense 2.1
  • 2. Find 2.3 x 1.5 2.3 x 1.5
  • 3. Find 2.3 x 1.5 STEP ZERO: Use guidelines to keep work 2.3 x 1.5 neat.
  • 4. Find 2.3 x 1.5 STEP ZERO: Use guidelines to keep work 2.3 x 1.5 neat.
  • 5. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat.
  • 6. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat.
  • 7. Find 2.3 x 1.5 STEP ZERO: 1 STEP ONE: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. 5
  • 8. Find 2.3 x 1.5 STEP ZERO: 1 STEP ONE: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. 5
  • 9. Find 2.3 x 1.5 STEP ZERO: 1 STEP ONE: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. 15
  • 10. Find 2.3 x 1.5 STEP ZERO: 1 STEP ONE: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. 1 15
  • 11. Find 2.3 x 1.5 STEP ZERO: 1 STEP ONE: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. 1 15 STEP TWO: Place a zero in the ones place. (PLACEHOLDER) Scratch out previous work.
  • 12. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. 1 15 STEP TWO: Place a zero in the 0 ones place. (PLACEHOLDER) Scratch out previous work.
  • 13. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: Place a zero in the 0 tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work.
  • 14. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: Place a zero in the 0 tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work.
  • 15. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: Place a zero in the 30 tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work.
  • 16. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: Place a zero in the 30 tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work.
  • 17. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: 23 0 Place a zero in the tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work.
  • 18. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: +23 0 Place a zero in the tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work.
  • 19. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: +23 0 Place a zero in the tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out previous work. STEP FOUR: Add the products. Regroup if necessary.
  • 20. Find 2.3 x 1.5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 2.3 the ones. Regroup if necessary. x 1.5 neat. STEP THREE: Multiply by the 1 15 STEP TWO: +23 0 Place a zero in the tens. Regroup ones place. if necessary. (PLACEHOLDER) Scratch out STEP FOUR: Add the products. Regroup if necessary. 34 5 previous work.
  • 21. Find 2.3 x 1.5 2.3 x 1.5 1 15 +23 0 34 5
  • 22. Find 2.3 x 1.5 STEP FIVE: Count the number of decimal places. 2.3 x 1.5 1 15 +23 0 34 5
  • 23. Find 2.3 x 1.5 STEP FIVE: Count the number of decimal places. 2.3 x 1.5 1 decimal place 1 decimal place 1 15 +23 0 34 5
  • 24. Find 2.3 x 1.5 STEP FIVE: Count the number of decimal places. 2.3 x 1.5 1 decimal place 1 decimal place 1 15 STEP SIX: Make sure the number of decimals +23 0 places is included in your answer. 34 5
  • 25. Find 2.3 x 1.5 STEP FIVE: Count the number of decimal places. 2.3 x 1.5 1 decimal place 1 decimal place 1 15 STEP SIX: Make sure the number of decimals +23 0 places is included in your answer. 3.4 5
  • 26. Find 0.76 x 0.9 0.76 x 0.9
  • 27. Find 0.76 x 0.9 STEP ZERO: Use guidelines to keep work 0.76 x 0.9 neat.
  • 28. Find 0.76 x 0.9 STEP ZERO: Use guidelines to keep work 0.76 x 0.9 neat.
  • 29. Find 0.76 x 0.9 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 0.76 the ones. Regroup if necessary. x 0.9 neat.
  • 30. Find 0.76 x 0.9 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 0.76 the ones. Regroup if necessary. x 0.9 neat.
  • 31. Find 0.76 x 0.9 5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 0.76 the ones. Regroup if necessary. x 0.9 neat. 4
  • 32. Find 0.76 x 0.9 5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 0.76 the ones. Regroup if necessary. x 0.9 neat. 4
  • 33. Find 0.76 x 0.9 5 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 0.76 the ones. Regroup if necessary. x 0.9 neat. 84
  • 34. Find 0.76 x 0.9 STEP ONE: STEP ZERO: Multiply by Use guidelines to keep work 0.76 the ones. Regroup if necessary. x 0.9 neat. 684
  • 35. Find 0.76 x 0.9 0.76 x 0.9 684
  • 36. Find 0.76 x 0.9 0.76 x 0.9 684 STEP TWO: Count the number of decimal places.
  • 37. Find 0.76 x 0.9 0.76 x 0.9 2 decimal place 1 decimal place 684 STEP TWO: Count the number of decimal places.
  • 38. Find 0.76 x 0.9 0.76 x 0.9 2 decimal place 1 decimal place 684 STEP TWO: Count the number of decimal places. STEP THREE: Make sure the number of decimals places is included in your answer.
  • 39. Find 0.76 x 0.9 0.76 x 0.9 2 decimal place 1 decimal place 0.6 8 4 STEP TWO: Count the number of decimal places. STEP THREE: Make sure the number of decimals places is included in your answer.