Content

• To step
• Method 1 of 2: Multiply under each other
• Method 2 of 2: A faster solution
• Tips

Multiplication sums can sometimes look a little intimidating, especially when dealing with large numbers. But with a step-by-step approach, you will find that it doesn't have to be a problem at all. You will see that you can quickly solve the most difficult math problems without errors by following the steps below.

To step

Method 1 of 2: Multiply under each other

1. Place the largest number above the smaller number. Suppose you want to multiply 756 and 32. Then write 756 above 32 and make sure the units and tens are aligned, so that the 6 of 756 is above the 2 of 32 and the 5 of 756 is above the 3 of 32, and so on. This prevents you from making mistakes and the multiplication becomes clearer.
   • You start by multiplying the 2 of 32 with each of the numbers from 756 and then multiplying the 3 of 32 by each of the numbers from 756. But let's not get ahead of ourselves.
   • The "bigger" number is the number with the most digits (digits).
2. Multiply the units of the bottom number by the units of the top number. Take the 2 of 32 and multiply it by the 6 of 756.6 times 2 is 12, so write the 2 below the units and place the 1 above the 5. So you first write down the number that belongs to the units and there is a tens, then you place that number above the tens of the top number. So you now have a 2 under 6 and 2.
3. Multiply the units of the bottom number by the tens of the top number. So 2 x 5 = 10. Add 1 (the 1 you placed above it) and write the unit 1 of the result 11 below and place the 1 of 11 above the 7 of 756.
4. Multiply the units of the bottom number by the hundreds of the top number. Now multiply 2 by 7. Add the 1 placed above it to this product. So 14 + 1 = 15. Now you can place this in its entirety at the bottom.
5. Write a 0 as the unit under the first product. Now multiply the tens 3 by 32 by any number from 756, but write a 0 under the 2 from 1512 before starting, because you are already in the tens. If the number is greater, another product will be added and you start with two zeros, and so on.
6. Multiply the tens of the bottom number by the units of the top number. Multiply: 3 x 6 = 18. Place the 8 at the bottom again and place the 1 of 18 above the 5.
7. Multiply the tens of the bottom number by the tens of the top number. Multiply: 3 x 5 = 15. Add to this the 1 placed above it, this gives 16. Write down the 6 and place the 1 above the 7.
8. Multiply the tens of the bottom number by the hundred of the top number. Multiply: 3 x 7 = 21. Add to this the 1 placed above it, this gives 22. You can write this number down without having to move a dozen. So write this down next to the 6.
9. Add the units of the two products together. The products are 1512 and 22680. First, add: 2 + 0 = 2. Record the result in the units column.
10. Add the tens together. So 1 + 8 = 9. Place the 9 to the left of the 2.
11. Add the hundreds together. So 5 + 6 = 11. Write the 1 next to the 9 and place the 1 of the ten above the 1 of the thousand of the first product.
12. Add up the thousands of both products. So 1 + 2 = 3. Add to this the 1 placed above it, so 3 + 1 = 4. Write this down.
13. Add up the tens of thousands of both products. The first product is less than ten thousand but the second has 2 as ten thousand. Now add together: 2 + 2 = 4, and write this down. This ultimately gives the answer 24,192.
14. Check your answer with a calculator. Enter the following: 756 x 32 which should give the answer 24,192. Now you are all set!

Method 2 of 2: A faster solution

1. Write down the statement. Suppose you want to multiply 325 by 12. Make a note of this. You place one number next to the other, not underneath each other.
2. Divide the smaller number into tens and units. Keep 325 as it is and divide 12 into 10 and 2.
3. Multiply the larger number by the tens of the other number. So 325 x 10 = 3250.
4. Multiply the largest number by the unit of the other number. So 300 x 2 is 600 and 25 x 2 is 50. Add these together: 600 + 50 = 650.
5. Add the two products together. Add 3250 to 650. You can do this as usual. Place 3250 over 650 and add. The answer should be 3900. This is basically the same as regular multiplication, but dividing the smallest number into tens and units makes it possible to do more of the calculation by heart without having to do too much. multiply and move. Both methods give the same result, so use them where it is most convenient for a given problem.

Tips

• Make sure your numbers are neatly lined up!
• Practice on smaller numbers first, it's easier.
• Don't forget to take your tens of "with you" / move. Otherwise it will be a mess.