Multi-digit
                       Multiplication
Objective: Solve problems using whole number multi-digit
multiplication (0406.2.11).
First, multiply the digits in the ones place
of both factors.


                654
               x 32
                  8
Next, multiply the digits in the tens place
of the top factor by the ones place in the
bottom factor.      1


                 654
 Don’t forget
 the adding
 attic!


                x 32
                  08
Then, multiply the digit in the hundreds
place of the top factor by the ones place of
the bottom factor. 1


                  654
 Don’t forget
 the numbers
 in the adding
 attic!

                 x 32
                 13 0 8
Always add a zero below the first product
as a space saver.
                   1


                654
               x 32
               13 0 8
                    0
Now, multiply the digit in the ones place
of the top factor by the digit in the tens
place of the bottom factor.           1
                               1


                            654
 Carry into
 the adding
 attic!



                           x 32
                           13 0 8
                              20
Then, multiply the digit in the tens place
of the top factor by the digit in the tens
place of the bottom factor.      1    1
                               1


                            654
 Don’t forget
 the numbers
 in the adding
 attic!

 Carry into
 the adding
 attic!
                           x 32
                           13 0 8
                            62 0
Next, multiply the digit in the hundreds place
of the top factor by the digit in the tens place
of the bottom factor.            1    1
                                1


                          654
 Don’t forget
 the numbers
 in the adding
 attic!


                         x 32
                         13 0 8
                        19 6 2 0
Finally, add the two products together to get
the final product.
                                 1   1
                                 1


                      654
                     x 32
                     13 0 8
                        1



                  + 19 6 2 0
                    20 9 2 8 ,

Multi digit multiplication

  • 1.
    Multi-digit Multiplication Objective: Solve problems using whole number multi-digit multiplication (0406.2.11).
  • 2.
    First, multiply thedigits in the ones place of both factors. 654 x 32 8
  • 3.
    Next, multiply thedigits in the tens place of the top factor by the ones place in the bottom factor. 1 654 Don’t forget the adding attic! x 32 08
  • 4.
    Then, multiply thedigit in the hundreds place of the top factor by the ones place of the bottom factor. 1 654 Don’t forget the numbers in the adding attic! x 32 13 0 8
  • 5.
    Always add azero below the first product as a space saver. 1 654 x 32 13 0 8 0
  • 6.
    Now, multiply thedigit in the ones place of the top factor by the digit in the tens place of the bottom factor. 1 1 654 Carry into the adding attic! x 32 13 0 8 20
  • 7.
    Then, multiply thedigit in the tens place of the top factor by the digit in the tens place of the bottom factor. 1 1 1 654 Don’t forget the numbers in the adding attic! Carry into the adding attic! x 32 13 0 8 62 0
  • 8.
    Next, multiply thedigit in the hundreds place of the top factor by the digit in the tens place of the bottom factor. 1 1 1 654 Don’t forget the numbers in the adding attic! x 32 13 0 8 19 6 2 0
  • 9.
    Finally, add thetwo products together to get the final product. 1 1 1 654 x 32 13 0 8 1 + 19 6 2 0 20 9 2 8 ,