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Key points

The method of multiplication involves breaking numbers into parts. This method is useful in making a multiplication easier to manage. To use this method successfully you need to be able to:

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Partition method of multiplication by a 1-digit number

  1. Partition the number using the of each digit.

  2. Multiply each of these numbers by the 1-digit number and align the answers to the right.

  3. Add the to give the answer.

Example: calculate 4257 x 6

Image gallerySkip image gallerySlide 1 of 4, Four thousand two hundred and fifty-seven multiplied by six., Use the partition method to calculate 4257 脳 6
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Partition method of multiplication by a 2-digit number

Use the partition method to multiply a 3-digit number by a 2-digit number.

  1. the smaller number using the place values of each digit. Eg, to work out 352 脳 27 multiply 352 by 20 and multiply 352 by 7

  2. Add the two answers.

Example: calculate 352 x 27

Image gallerySkip image gallerySlide 1 of 5, Three hundred and fifty-two multiplied by twenty-seven., Use the partition method to calculate 352 脳 27
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Practise the partition method

Try this quiz to practise multiplication using the partition method. You might need a pen and paper to help with workings out.

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Real-world maths

When you do not have a calculator, the partition method for multiplication is one way of calculating an answer. It is a skill used in many jobs such as builders, suppliers and flooring specialists. It is an invaluable skill for the world of work.

Newly built homes in a residential estate in England.
Image caption,
The partition method could be used to calculate the quantity of materials needed on a construction project.
  • A builder might use the partition method of multiplication to calculate the quantity of materials needed to build an entire housing estate.
  • A flooring specialist might use it to work out the area of flooring needed for a room when replacing carpets.
Newly built homes in a residential estate in England.
Image caption,
The partition method could be used to calculate the quantity of materials needed on a construction project.
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Play the Divided Islands game! game

Using your maths skills, help to build bridges and bring light back to the islands in this free game from 大象传媒 Bitesize.

Play the Divided Islands game!
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