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Formal written methods for addition, subtraction, multiplication and division tested in the KS2 SATs arithmetic paper.
Line up digits by place value and work from the ones column. For subtraction, exchange (borrow) from the next column when a digit is too small to subtract from.
Multiply a number by a single digit by multiplying each column starting from the ones, carrying any tens into the next column.
To multiply two multi-digit numbers, multiply the first number by each digit of the second number separately (remembering to add a zero placeholder for the tens digit), then add the results together.
Short division works through the number left to right, carrying remainders to the next digit. Long division is used for dividing by two-digit numbers — write out the multiples of the divisor to help subtract at each step.