se the traditional method or rectangular method to solve the problem.

345 x 21

1 answer

To solve the multiplication problem \( 345 \times 21 \) using the traditional or rectangular method, you can follow these steps:

  1. Setting up the problem: Write the numbers in a column, with \( 345 \) on top and \( 21 \) below it.

      345
    x  21
    
  2. Multiply the bottom number (1) by the top number (345):

    • \( 1 \times 345 = 345 \)

    Write this result below the line.

      345
    x  21
    -----
      345  (This is 345 * 1)
    
  3. Multiply the bottom number (2) by the top number (345), but remember that this 2 is in the tens place (which is actually \( 20 \)):

    • \( 2 \times 345 = 690 \)
    • Since you are multiplying by 20, you add a zero to this result:
      345
    x  21
    -----
      345  (This is 345 * 1)
    +6900  (This is 345 * 20, i.e., 690 with one zero)
    
  4. Add the results together:

      345
    +6900
    -----
     7245
    

So, \( 345 \times 21 = 7245 \).