Long Multiplication Worksheets (Free PDF)
Nine long multiplication problems with three ruled working lines each, and an answer key that shows both partial products, not just the final number.
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Long multiplication needs room, so this sheet gives nine problems in three columns of three, each with the two numbers stacked over a rule and three faint ruled lines underneath for the partial products and the total. The lines are light enough to write over and spaced to match the figures above them, which keeps the columns straight, because a crooked second line is the most common reason the method goes wrong.
Choose two digits times two digits for the first year of the method, or three digits times two digits once it is secure. The multiplier never ends in a zero, so both partial products are real work rather than a free line of noughts. The note under the title spells out the method, including the zero placeholder in the ones column of the second line.
The answer key is worked rather than stated: for every problem it prints the first partial product, the second partial product with its zero, and the total under a second rule, all in red. That lets a child find exactly where a wrong answer went astray instead of only learning that it was wrong. The key is the second page of the PDF, and the same setting always produces the same nine problems.
