Everyday Mathematics PartialProducts Multiplication PartialProducts Multiplication Partialproducts multiplication

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 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