A combination of multiplication and sums is called arithmetic. Subtraction and division are also included in arithmetic.
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distributive property
The distributive property of multiplication over addition.
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Partial sums is actually use for addition while partial products is used for multiplication. With partial sums, numbers above nine are added together in the tens, hundreds, etc. columns first. Individual sums are then added together for the final sum.
In arithmetic's, it is good to calculate complex sums using the BODMAS order. Work on the items in Brackets and then proceed to do Of, Division, Multiplication and any Subtraction tasks.