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Everyday MathematicsPartial-Products Multiplication
Partial-Products MultiplicationPartial-products multiplication
involves:Using the distributive property;Thinking about expanded
notation;Using extended facts to calculate partial products;
andAdding partial products to find the final answer.
Everyday Mathematics
Partial-Products MultiplicationSolve: 58 37We begin by thinking
about each number in expanded notation.58 = 50 + 837 = 30 + 7The
key idea in partial products multiplication is to multiplyeach part
of 58 by each part of 37.50 3050 7
Everyday Mathematics8 308 7
Partial-Products MultiplicationSolve: 58 3758 37We can find the
partialproduct in any order. Herewe start with 50 30.
Everyday MathematicsWe add the partialproducts together to
findthe answer.
50 3050 78 308 7
Multiply:
1,500350240+ 562,146
Partial-Products MultiplicationWhen children use
partial-products they practice a variety of skillsrelated to number
sense and algebraic reasoning. For example:Identifying the place
value of digits;Thinking about numbers in expanded
notation;Applying the distributive property;Using multiplication
fact extensions such as 50 30; andAdding to find the product.If
children work from left to right, which is generally their
inclination,they begin the problem solving process with a
reasonable estimate ofwhat the final answer should be.
Everyday Mathematics
