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Everyday Mathematics Partial-Products Multiplication

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

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Everyday Mathematics Partial-Products Multiplication

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  1. Everyday MathematicsPartial-Products Multiplication

  2. 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 Mathematics

  3. 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 50 × 7 • 8 × 30 • 8 × 7 Everyday Mathematics

  4. Partial-Products Multiplication Solve: 58 × 37 58 × 37 We can find the partial product in any order. Here we start with 50 × 30. We add the partial productstogether to find the answer. 50 × 30 50 × 7 8 × 30 8 × 7 • Multiply: 1,500 350 240 + 56 2,146 Everyday Mathematics

  5. 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 Mathematics

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