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Published byDamon Willis Modified over 8 years ago

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Multiplication Using Manipulatives & Algorithms for Whole-Number Multiplication

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Repeated Addition Build the following problems with the base 10 blocks using repeated addition. Draw a sketch of your work below. 7 x 12 12 Algorithm 12 +12 84

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Video: Area & Array Model with Partial Products Algorithm Video with manipulatives along with array model and partial products algorithm

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Partial Products Algorithm for multiplication: ▫Break apart numbers according to the place value of each digit. ▫Multiply each digit according to its place value to obtain partial products. ▫Add the partial products to find the final product.

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Complete the following problems using the array model and show the partial products algorithm: 23 X 48 356 x 23 Solutions are on the next two slides

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23 x 48 203 40 40 x 20 = 800 40 x 3 = 120 8 8 x 20= 160 8 x 3 = 24 23 x 48 24 160 120 + 800 1104 800 + 160 + 120 + 24 = 1104

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356 x 23 300506 2020 20 x 300 = 6000 20 x 50 = 1000 20 x 6 = 120 33 x 300 = 900 3 x 50 = 150 3 x 6 = 18 356 x 23 18 150 900 120 1000 + 6000 8188 6000 + 1000 + 120 + 900 + 150 + 18 = 8188

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Video: Lattice Approach Video link to lattice approach Try 456 x 45 using the lattice approach. Solution is on the next slide.

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456 x 45 456 4 5 2 4 3 05 2 0 2 0 2 6 1 5 2 0 11 2020 Answer: 20,520

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