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Partial Products Game Show
L018
Multiplication Equations
23 x 16 = 268
Product
Factors
Big Idea # 1
Factors in a multiplication equation can be decomposed into addends.
Big Idea # 2
Multi-digit whole numbers can be decomposed into addends based on place value.
Big Idea # 3
Partial products are the products of one factor multiplied by one addend of
the other factor.
Big Idea # 4
The distributive property of multiplication means that a product of two factors is equal to the partial products of the two decomposed addends and the other factor.
Big Idea # 5
When we are multiplying by multiples of 10, 100, or 1,000, we need to make sure we are multiplying the nonzero digits by the multiple of 10, 100, or 1,000 that the number represents.
I multiplied 7 x 2 which are the nonzero digits with value and got a product of 14.
70 x 20 =
Then, since 70 was a multiple of 10, multiplied 14 x 10 to get 140.
14 x 10 = 140
Then, since 20 was also a multiple of 10, multiplied 140 x 10 to get 1,400.
140 x 10 = 1,400
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How did you decompose 38 into addends by place value?
54 x 38 =
How did you decompose 54 into addends by place value?
Multiply each addend by the other factor.
Multiplying by multiples of powers of ten is quick because you can multiply the non-zero digits and then multiply by the value of the place value, i.e. 4 x 300 = 4 x 3 x 100.
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