Partial Products Calculator

Your details

A whole number from 1 to 9,999. Decimals and negatives are not supported.
A whole number from 1 to 9,999.
Product
2,961

The final answer: multiplicand times multiplier

Number of partial products4
Sum check2,961
Expanded form (first number)40 + 7
Expanded form (second number)60 + 3
Final product2,961
Sum of partials2,961

47 x 63 = 2,961

  • 47 expands to 40 + 7 and 63 expands to 60 + 3.
  • Multiplying every pair of parts gives 4 partial products, which add up to 2,961.
  • This method uses the distributive property: (40 + 7) x (60 + 3) = 2400 + 120 + 420 + 21 = 2,961.
  • The largest single partial product is 40 x 60 = 2,400, which accounts for about 81.1% of the total.

Next stepEach partial product corresponds to one cell of the box/area model grid. Drawing the grid is a useful visual to confirm every pair has been counted.

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