How To Do Long Multiplication?

One of the basic maths functions that children need to learn is Long Multiplication.


However one of the common questions asked when considering maths is "How to Do Long Multiplication".

The sad thing is that if children miss this vital step in their Maths education then there is a good chance that the child
will fall behind and find a whole range of other subjects such as Physics, Chemistry, Design and Technology and any
other subject with maths in more difficult to grasp.

Once they miss this vital step of Long Multiplication the rest of the maths that they carry out can also be much harder. The GOOD news is that once you learn the simple steps to long multiplication it really is quite simple. Your child will become more confident in their Math and also any other subjects that need maths or long multiplication.

To help answer the question How to do long multiplication we have pulled together some useful resources from around the web.

Here are a number of Videos on YouTube that take you through long multiplication.

Adults Teaching Multiplication Videos

Primary Maths Multiplication
SLEP Long Multiplication
How to Do Multiplication in your head

Children Teaching Multiplication Videos

How to do Multiplication
How to Long Divide

If you look at WikiHow you can see the following steps for carrying out long multiplication.

  • Step 1
    Follow this example. Say that you want to multiply 756 and 32. These problems don't look tough, just try to take it one step at a time. (Note that there is nothing special about these numbers - they are used for demonstration purposes on this how-to). This technique will work for any numbers, however long. Write it out like this:
    Be sure to line up your columns
  • Step 2
    Start from the right. Multiply all the numbers on the top row by 2. Six times 2 is 12, so write the units figure under the units, and carry the 1:
    6 times 2 is 12
  • Step 3
    Now multiply the 5 and the 2, which makes 10. Also add on the 1 that is carried from the last stage. This makes 11, so write 1 on the line, and carry the other 1:
    5 times 2 is 10
  • Step 4
    Multiply seven times the 2. This makes 14. Add on the carried 1, so it makes 15. Don't carry the tens over this time, as there are no more numbers to multiply on this row. Just write the 15 on the line:
    7 times 2 is 14
  • Step 5
    Move to multiplying the tens now that you've done the units for the number 32. Put a zero in the units column:
    Put a zero
  • Step 6
    Multiply six times 3. This makes 18. Again, put the 8 on the line, and carry the 1:
    6 times 3 is 18
  • Step 7
    Multiply 5 times the 3. This makes 15 but you must add on the carried 1, so it equals 16. Write the 6 on the line, and carry the 1:
    5 times 3 is 15, plus the carried 1
  • Step 8
    Multiply 7 times the 3. This makes 21, plus the carried 1 makes 22. You don't need to carry the 2, as there are no more numbers to multiply on this line:
    7 times 3 is 21, plus the carried 1
  • Step 9
    Begin adding up. Now you're done with multiplying; you just need to add together 1512 and 22680. Write a plus sign to remind you of this:
    Write a plus sign
  • Step 10
    Add two plus zero. This makes 2. Write that in the units column:
    2 plus 0 is 2
  • Step 11
    Add one plus 8. This makes 9. Write that in too:
    1 plus 8 is 9
  • Step 12
    Add five plus 6. This makes 11. Write the 1 on the line, and carry the 1:
    5 plus 6 is 11
  • Step 13
    Add one plus 2. Include the carried 1 to make 4. Write that down:
    1 plus 2 plus 1 is 4
  • Step 14
    Add the final numbers. 2 plus nothing makes 2; write that in:
    2 plus nothing is 2



    All we can finish with is PLEASE ensure that your child does understand long multiplication. If you were not properly taught this at school  then by learning it for yourself you will be well placed to help your child / children with their maths homework and able to test them on their long multiplication.

    Remember the more you practice any maths the easier it becomes, so do not be afraid of long multiplication. Start with small numbers and then slowly work your way up. Use a calculator to check your answers but do not cheat and use it on the way  

    Good luck with Long Multiplication and your childs education.

     

     

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