Multiplying 3-Digit Numbers by 2-Digit Numbers

We will learn how to multiply 3-digit numbers by 2-digit numbers.

Multiplication by 3-Digit Numbers × 2-Digit Numbers:

I. Multiply 148 by 18.

      Th         T     O   

               4     1     8

              ×      1     8             

        3     3      4     4     1. 

    +  4     1      8     0     2.   

         7     5      2     4    3.

1. 18 = 1 ten and 8 ones

    Multiply 8 ones by all the numbers

    418 × 8 ones = 3344 ones

2. Multiply 1 ten by all the numbers

    418 × 1 ten = 418 tens = 4180

3. Add the two products [1. + 2.]

    3344 + 4180 = 7524


II. Multiply 354 by 24.

      Th         T     O   

               3     5     4

              ×      2     4             

        1     4      1     6     1. 

    +  7     0      8     0     2.   

        8     4      9     6    3.

1. 24 = 2 tens and 4 ones

    Multiply 4 ones by all the numbers

    354 × 4 ones = 1416 ones

2. Multiply 2 tens by all the numbers

    354 × 2 tens = 708 tens = 7080

3. Add the two products [1. + 2.]

    1416 + 7080 = 8496


Questions and Answers on Multiplying 3-Digit Numbers by 2-Digit Numbers:

(i)

      Th         T     O   

               4     4     1

              ×      1     1             

     ______________

     ______________

     ______________

(ii)

      Th         T     O   

               1     4     0

              ×      1     3             

     ______________

     ______________

     ______________

(iii)

      Th         T     O   

               4     2     0

              ×      1     6             

     ______________

     ______________

     ______________

(iv)

      Th         T     O   

               5     0     3

              ×      1     2             

     ______________

     ______________

     ______________

(v)

      Th         T     O   

               9     3     2

              ×      1     0             

     ______________

     ______________

     ______________

(vi)

      Th         T     O   

               6     2     9

              ×      1     3             

     ______________

     ______________

     ______________

(vii)

      Th         T     O   

               8     3     7

              ×      1     1             

     ______________

     ______________

     ______________

(viii)

      Th         T     O   

               3     3     2

              ×      2     0             

     ______________

     ______________

     ______________

(ix)

      Th         T     O   

               1     8     3

              ×      2     3             

     ______________

     ______________

     ______________

(x)

      Th         T     O   

               2     5     1

              ×      2     7             

     ______________

     ______________

     ______________

(xi)

      Th         T     O   

               1     9     2

              ×      3     8             

     ______________

     ______________

     ______________

(xii)

      Th         T     O   

               1     6     8

              ×      5     2             

     ______________

     ______________

     ______________



3rd Grade Math Lessons

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