Multiply whole numbers (notation 1)

  2. Basic Math Decoded
  3. Multiply whole numbers (notation 1)
 
65984 × 736
 
Place one number above the other aligned to the right. Draw a line under the bottom number.
 
   65984
 ×   736
 
Multiply the number 65984 by the digit 6 and place the answer below the line aligned to the right.
 
Multiply the digits 6 and 4 (6 × 4 = 24).
This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 4 below the line.
 
      2
   65984
 ×   736
       4
 
Multiply the digits 6 and 8 (6 × 8 = 48). Add the 2 to the answer which equals 50.
This number is larger than 9, so place the 5 above the column on the left to be added in the next step and place the 0 below the line and to the left of the other digits.
 
     52
   65984
 ×   736
      04
 
Multiply the digits 6 and 9 (6 × 9 = 54). Add the 5 to the answer which equals 59.
This number is larger than 9, so place the 5 above the column on the left to be added in the next step and place the 9 below the line and to the left of the other digits.
 
    552
   65984
 ×   736
     904
 
Multiply the digits 6 and 5 (6 × 5 = 30). Add the 5 to the answer which equals 35.
This number is larger than 9, so place the 3 above the column on the left to be added in the next step and place the 5 below the line and to the left of the other digits.
 
   3552
   65984
 ×   736
    5904
 
Multiply the digits 6 and 6 (6 × 6 = 36). Add the 3 to the answer which equals 39.
This number is larger than 9, but there are no more columns, so place the answer below the line and to the left of the other digits.
 
   3552
   65984
 ×   736
  395904
 
Multiply the number 65984 by the digit 3 and place the answer in a new row below the last one, moving one place to the left.
This is because you are really multiplying the number 65984 by 30, which is the same that multiplying by 3 and by 10. Some books suggest write zeroes instead of blank spaces, but it is the same when you add all the partial multiplications, at the end.
 
Multiply the digits 3 and 4 (3 × 4 = 12).
This number is larger than 9, so place the 1 above the column on the left to be added in the next step and place the 2 below the line in the corresponding row.
 
      1
   65984
 ×   736
  395904
      2
 
Multiply the digits 3 and 8 (3 × 8 = 24). Add the 1 to the answer which equals 25.
This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 5 below the line in the corresponding row, and to the left of the other digits.
 
     21
   65984
 ×   736
  395904
     52
 
Multiply the digits 3 and 9 (3 × 9 = 27). Add the 2 to the answer which equals 29.
This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 9 below the line in the corresponding row, and to the left of the other digits.
 
    221
   65984
 ×   736
  395904
    952
 
Multiply the digits 3 and 5 (3 × 5 = 15). Add the 2 to the answer which equals 17.
This number is larger than 9, so place the 1 above the column on the left to be added in the next step and place the 7 below the line in the corresponding row, and to the left of the other digits.
 
   1221
   65984
 ×   736
  395904
   7952
 
Multiply the digits 3 and 6 (3 × 6 = 18). Add the 1 to the answer which equals 19.
This number is larger than 9, but there are no more columns, so place the answer below the line in the corresponding row, and to the left of the other digits.
 
   1221
   65984
 ×   736
  395904
 197952
 
Multiply the number 65984 by the digit 7 and place the answer in a new row below the last one, moving one place to the left.
This is because you are really multiplying the number 65984 by 700, which is the same that multiplying by 7 and by 100. Some books suggest write zeroes instead of blank spaces, but it is the same when you add all the partial multiplications, at the end.
 
Multiply the digits 7 and 4 (7 × 4 = 28).
This number is larger than 9, so place the 2 above the column on the left to be added in the next step and place the 8 below the line in the corresponding row.
 
      2
   65984
 ×   736
  395904
 197952
     8  
 
Multiply the digits 7 and 8 (7 × 8 = 56). Add the 2 to the answer which equals 58.
This number is larger than 9, so place the 5 above the column on the left to be added in the next step and place the 8 below the line in the corresponding row, and to the left of the other digits.
 
     52
   65984
 ×   736
  395904
 197952
    88  
 
Multiply the digits 7 and 9 (7 × 9 = 63). Add the 5 to the answer which equals 68.
This number is larger than 9, so place the 6 above the column on the left to be added in the next step and place the 8 below the line in the corresponding row, and to the left of the other digits.
 
    652
   65984
 ×   736
  395904
 197952
   888  
 
Multiply the digits 7 and 5 (7 × 5 = 35). Add the 6 to the answer which equals 41.
This number is larger than 9, so place the 4 above the column on the left to be added in the next step and place the 1 below the line in the corresponding row, and to the left of the other digits.
 
   4652
   65984
 ×   736
  395904
 197952
  1888  
 
Multiply the digits 7 and 6 (7 × 6 = 42). Add the 4 to the answer which equals 46.
This number is larger than 9, but there are no more columns, so place the answer below the line in the corresponding row, and to the left of the other digits.
 
   4652
   65984
 ×   736
  395904
 197952
461888  
 
Final answer
 
Add all the rows together, and write the answer.
 
   65984
 ×   736
  395904
 197952
461888  
48564224
 
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