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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
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100s
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10s
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1s
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2
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3
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6
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*
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4
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7
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40 * 200=
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8,
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0
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0
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0
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40 * 30 =
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1,
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2
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0
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0
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40 * 6 =
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2
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4
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0
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7 * 200 =
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1,
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4
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0
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0
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7 * 30 =
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2
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1
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0
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7 * 6 =
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4
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2
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11,
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0
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9
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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.
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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)
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11092. Move the decimal 3
places to the left:
11.092
4.7 * 2.36 = 11.092
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