NumihanaLong multiplication with partial products.
Multiply by each digit of the multiplier using its place value. Then add the partial products. Multiplying by a tens digit means multiplying by that many tens.
When this helps
Useful for written multiplication by a two-digit number, including zero digits.
A common slip
The tens partial product needs its ten-times value. A zero placeholder keeps the places aligned.
Worked example
1352 × 10 =
What is the ones partial product?
Multiply 1352 by 0 × 1.
0What is the tens partial product?
Multiply 1352 by 1 × 10.
13520What is the final answer?
Recombine your working and check it against the original question.
13520
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Teaching context
This lesson practises mathematical representations and calculations. The displayed practice uses selected England Year 5 skills; the strategy can also help learners in other years.
Curriculum alignment describes the mathematical skill. It does not mean this is the only required teaching method.
Department for Education: mathematics programmes of study ↗Original method lesson v1.
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