📊 Column Multiplication

Step-by-step column method — fill in each digit, just like the Math Tank app!

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What Is Column Multiplication?

Column multiplication — sometimes called long multiplication — is the standard written method for multiplying multi-digit numbers. Numbers are stacked vertically and multiplied digit by digit, producing partial products that are added together for the final answer.

This tool uses individual digit cells with carry slots, so children fill in each part of the calculation exactly as they would on paper, building muscle memory for the method.

How Carries Work

When a digit-by-digit multiplication gives a product of 10 or more, the tens digit is "carried" to the next column. For example, 7 × 8 = 56: write 6 in the current column and carry 5 to the left.

Carries are one of the most common stumbling blocks. Practising with immediate visual feedback helps children spot carry mistakes instantly, rather than only discovering them at the end.

Tips for Teaching Column Multiplication

Start with Easy mode (2-digit × 1-digit) to build confidence with the layout. Once your child can handle carries comfortably, move to Medium mode (2-digit × 2-digit) which introduces partial products.

Encourage your child to check their work by estimating first — "Is 38 × 7 closer to 200 or 300?" — then comparing the estimate with the final answer. Estimation builds number sense alongside the written method.

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