Transcript Everyday Mathematics Partial-Products Multiplication Partial-Products Multiplication Partial-products multiplication involves: • • • • Using the distributive property; Thinking about expanded notation; Using extended facts to calculate partial products; and Adding partial.

Everyday
Mathematics
Partial-Products Multiplication
Partial-Products Multiplication
Partial-products multiplication involves:
•
•
•
•
Using the distributive property;
Thinking about expanded notation;
Using extended facts to calculate partial products; and
Adding partial products to find the final answer.
Everyday Mathematic
Partial-Products Multiplication
Solve: 58 × 37
We begin by thinking about each number in expanded notation.
58 = 50 + 8
37 = 30 + 7
The key idea in partial products multiplication is to multiply
each part of 58 by each part of 37.
50 × 30
8 × 30
50 × 7
8×7
Everyday Mathematic
Partial-Products Multiplication
We can find the partial
product in any order. Here
we start with 50 × 30.
Solve: 58 × 37
58
× 37
Multiply: 50 × 30
50 × 7
8 × 30
8 ×7
1,500
350
240
+ 56
We add the partial
products together to find
the answer.
2,146
Everyday Mathematic
Partial-Products Multiplication
When children use partial-products they practice a variety of skills
related 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; and
Adding 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 of
what the final answer should be.
Everyday Mathematic