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The ideas in this lesson are taken from Math Mammoth Multiplication 2 book. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. This lesson explains the partial products algorithm for multiplying a two- or three-digit number in columns that can be easier for some children to grasp than the usual algorithm. The "easy way" to multiply in columns — the partial products algorithm
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You can also do 5 × 34 vertically
(in columns), using distributive property.
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The video below also explains this same idea: first students are taught to multiply two- or three-digit numbers in parts (such as multiplying 3 × 89 as 3 × 80 and 3 × 9, and adding those) as a preparation for learning the usual multiplication algorithm.
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1. Multiply.
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53
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61 |
63 |
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35
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17 |
99 |
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47
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35 |
72 |
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77
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46 |
88 |
2. Write a mathematical sentence(s) for the problems. Multiply using the principle above (distributive property).
| a) All seven houses on the Cat Lane have seven cats living in
them. How many legs do those cats have total?
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| d) Jane bought seven cards and seven chocolate boxes for her
seven friends. The cards cost total $14, and the boxes cost total
$35. How much was her total bill? How much did one card cost? One chocolate box?
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If you have a 3-digit number, the process is similar:
3 × 184
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3. Multiply.
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353
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161
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327 |
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123
|
103 |
167 |
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199
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420 |
245 |
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