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Partial-Products
Multiplication
47
* 236 = ?
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Think of
236 as 200 + 30 + 6 |
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Think of
47 as 40 + 7 |
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Multiply
each part of 236 by 47, first by 40: |
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then by
7: |
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Add these six
partial products: |
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1,000s |
100s |
10s |
1s |
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2 |
3 |
6 |
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* |
4 |
7 |
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40 *
200= |
8, |
0 |
0 |
0 |
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40 * 30
= |
1, |
2 |
0 |
0 |
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40 * 6 =
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2 |
4 |
0 |
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7 * 200
= |
1, |
4 |
0 |
0 |
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7 * 30 =
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2 |
1 |
0 |
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7 * 6 = |
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4 |
2 |
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11, |
0 |
9 |
2 |
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47 * 236 =
11,092 |
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(Don’t forget to
carry the 1 from the 100s column)
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Partial-Products
Multiplication with Decimals
4.7
* 2.36
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1. Count the
number of decimal places in each factor.
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1 decimal place
in 4.7
2 decimal places
in 2.36 |
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2. Add the
number of decimal places. This is how many
Decimal places
there will be in the product. |
1 + 2 = 3
decimal places |
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3. Multiply the
factors as if they were whole numbers:
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47 * 236 =
11,092 (see above) |
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4. Start at the
right of the product. Move left the number
of decimal places that you counted in step
(1) |
11092. Move the
decimal 3 places to the left:
11.092
4.7 * 2.36 =
11.092
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