Key points
The partitionTo split a number into component parts. Eg, the two-digit number 38 can be partitioned into 30 + 8 or 19 + 19 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:
- break down (partition) a number using your understanding of place value
- recall times-tables up to 9 x 9
- multiply by multiples of powers of ten
Partition method of multiplication by a 1-digit number
Partition the number using the place valueThe value of a digit that relates to its position or place in a number. Eg, in 1482 the digits represent 1 thousand, 4 hundreds, 8 tens and 2 units. of each digit.
Multiply each of these numbers by the 1-digit number and align the answers to the right.
Add the productThe result of multiplying one number by another, eg the product of 4 and 5 is 20 since 4 脳 5 = 20 to give the answer.
Example: calculate 4257 x 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.
partitionTo split a number into component parts. Eg, the two-digit number 38 can be partitioned into 30 + 8 or 19 + 19 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
Add the two answers.
Example: calculate 352 x 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.
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.
- 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.
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More on Operations - Calculations
Find out more by working through a topic
- count3 of 10
- count4 of 10
- count5 of 10
- count6 of 10