How to Calculate Long Multiplication
What is Long Multiplication?
Long multiplication is a written method for multiplying large numbers by breaking the problem into single-digit multiplications, then summing the partial products with correct place-value offsets.
Step-by-Step Guide
- 1Write the numbers with the larger on top
- 2Multiply the top number by the ones digit of the bottom number
- 3Multiply the top number by the tens digit, shifting left by one place
- 4Continue for each digit of the bottom number
- 5Sum all partial products
Worked Examples
Input
47 × 36
Result
1,692
47×6=282, 47×30=1410, sum=1692
Input
123 × 45
Result
5,535
123×5=615, 123×40=4920
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