How can I multiply 306x21 using standard algorithm?

Answer 1

To multiply 306 by 21 using the standard algorithm, follow these steps:

1. Write the numbers vertically:

     306
   ×  21
   ──────
   

2. Multiply the bottom number's units place (1) by the top number (306):

   • 1 × 306 = 306
   • Write this result below the line:

     306
   ×  21
   ──────
     306   (this is 306 × 1)
   

3. Multiply the bottom number's tens place (2) by the top number (306):

   • 2 × 306 = 612
   • Since you are in the tens place, put a zero in the units place of this result (essentially, you are multiplying by 20):
   • Write this result below the previous line, shifted one position to the left:

     306
   ×  21
   ──────
     306    (this is 306 × 1)
   +6120    (this is 306 × 20)
   

4. Add the two results:

      306
   + 6120
   ──────
    6426
   

5. Final answer: Therefore, \( 306 × 21 = 6426 \).