the sum of partial products is equal to the final product?
Answer:
Yes, the sum of partial products is equal to the final product.
Step-by-step explanation:
We need to check whether the sum of partial products is equal to the final product.
Let as consider the expression \(12\times 25\).
The product of this expression is
\(12\times 25=300\)
Write each numbers as the sum of place values.
\(12=10+2\)
\(25=20+5\)
Now, find the partial products.
| 10 2
----------|--------------------------------------------
20 | 20×10=200 20×2=40
5 | 5×10=50 5×2=10
----------|---------------------------------------------
Sum of partial products is
\(200+40+50+10=300\)
Therefore, the sum of partial products is equal to the final product.