Content

• Steps
• Advice

Long multiplication can seem terrifying, especially when multiplying quite large numbers. However, if you follow them step by step, you should be able to perform long multiplication in no time. Get ready to master those maths by starting with Step 1 below.

Steps

Method 1 of 2: Performing Standard Long Multiplication

1. 

   Write the big number above the small number. Let's say you are going to multiply 756 by 32. Write 756 above 32, such that the units and tens of the numbers line up, the 6 of 756 is above the 2 of 32 and the child the number 5 of 756 is above the number 3 of 32, likewise. This will make it easier to see the long multiplication process.
   • It is imperative that you start by multiplying 2 in 32 for each number by 756, then multiplying 3 out of 32 by each number by 756. But don't go too fast.

2. 

   
   
   Multiply the number in units of the number below by the number of units above. Multiply 2 in 32 by 6 in 756. Product of 6 and 2 is 12. Write the number of units of 2 in the product, and write 1 on top of 5. Basically, you would write down any number. in the unit row, and if there is a tens, write it on the top left of the number above you just multiplied. You've got number 2 written directly below number 6 and number 2.

3. 

   
   
   Multiply the number in the lower number by the tens of the number above. Now multiply 2 by 5 and get the result 10. Add the 1 you memorized above 5 to 11, then write 1 next to 2 in the bottom row. Remember to add 1 to the tens above the 7.

4. 

   Multiply the number in units of the number below by the hundreds on the number above. Multiplying 2 by 7 gives 14. Add the remembered 1 to 14 becomes 15. This time there is no need to remember, because you don't have any more numbers to multiply in the row. Just write 15 in the last row.

5. 

   
   
   Write 0 in the column of units below the first result. Now you'll multiply the tens of 32, which is 3, for each digit of 756, so add a zero below the 2 of 1512 before you begin so you can multiply by the tens. If you continue to multiply the hundreds by the number above, you need to add two zeros, and so on.

6. 

   Multiply the tens digit of the number below by the unit digit of the number above. Multiply 3 by 6 to get 18. Again, write 8 in the result and remember 1 on top of 5.

7. 

   Multiply the tens digit of the number below by the tens digit of the number above. Multiply 3 by 5 to get 15, but must add 1 to remember, so the result is 16. Write 6 in the result, and remember 1 over the number 7.

8. 

   Multiply the tens digit of the number below by the hundreds digit of the number above. Multiplying 3 by 7 gives 21. Adding 1 already remembers 22. You don't need to remember 2 of the result 22 anymore, since there are no more numbers to multiply, so just write it next to the number 6.

9. 

   Add the number of units together. Now, simply add 1512 to 22680. First, add 2 plus 0 to get 2. Write the result in the column of units.

10. 

    Add the tens of digits together of the results. Adds 1 plus 8 to 9. Write 9 to the left of 2.

11. 

    Add the hundreds digits of the results together. Sum of 5 and 6 is 11. Write 1 on the result and remember the one to the left of the result above.

12. 

    Add the thousands of results together. Adds 1 to 2 to get 3 and then adds 1 you remember to get 4. Write it in the result.

13. 

    Add tens of thousands of results together. The first result has nothing in the tens of thousands, and in the second result it is 2. So 0 plus 2 equals 2, write it in the result. We got 24,192 and that's your final result.

14. 

    Check the results by computer. If you want to check your results, enter the problem into your calculator to see if you made it right. The result should be 756 times 32 equal to 24,192. And that's it! advertisement

Method 2 of 2: Shortcut

1. 

   Write the math. Let's say you are multiplying 325 by 12. Write it down. This number is next to the other, not below.

2. 

   Divide small numbers into tens and units. Keep 325 and divide 12 into 10 and 2. The number 1 is in the tens, so you have to add 0 after it to stay in the correct position, and since 2 is in unit row, you just need to write 2.

3. 

   Multiply the large number by the number in the tens. Now multiply 325 by 10. All we need to do is add 0 to the end of that number, and we get 3250.

4. 

   Multiply the large number by the number in the unit. Now we just need to multiply 325 by 2. Just by looking with our eyes we get 650, because 300 times 2 equals 600 and 25 times 2 equals 50. 600 plus 50 gives 650.

5. 

   Add up the two results. For now, just add 3250 to 650. You can do this using the old style addition method. Write 3250 above 650 and do all the rest, you will get 3900. Actually, this is similar to doing standard long multiplication, but parsing a number into tens and single rows. Taste allows you to do some math in your head to avoid multiplying and remembering too much. Either way will produce the same results, depending on which way you do it faster. advertisement

Advice

• Practice with small and easy-to-do numbers first.
• Make sure you have written the numbers in the correct columns.
• Don't forget to look out for the tens, or things get messed up.
• Always add zeros at the end of the tens, in the hundreds add TWO zeros and so on. Check the assignments and then check with the computer at last - but don't cheat.
• For numbers with more than two digits, follow these steps: first multiply the number above by the row, then add 0 after it and multiply by the tens, add two zeros and then multiply by the row hundred, then add three zeros and multiply by thousands, and so on. Finally, we add the results together.