How does adding partial products help you solve a multiplication problem?
http://www.youtube.com/watch?v=e7Ult0p-uGU
It simplifies the operations
Adding partial products help you solve a multiplication problem because you can eliminate steps in the problem and can also check the answer.
I need help
Adding partial products is a strategy used to solve multiplication problems by breaking down the problem into smaller, more manageable parts. This method is commonly used when multiplying multi-digit numbers.
To understand how adding partial products helps, let's take an example: multiplying 234 by 56.
Step 1: Breaking down the numbers
Write the two numbers, 234 and 56, vertically, one beneath the other.
2 3 4
× 5 6
Step 2: Multiplying the digits
Start with the rightmost digit of the bottom number (6) and multiply it by each digit of the top number one by one.
4
× 6
2
× 6
5
× 6
Step 3: Writing the partial products
Write down the products you obtained in step 2 under each other, aligning them correctly based on their place value.
4
× 6
_______
4 (4 times 6 = 24,
write down only the units digit, 4)
2 4 (2 times 6 = 12, write down the tens digit)
+ 1 4 (5 times 6 = 30, write down the hundreds digit)
Step 4: Adding the partial products
Now, add up the partial products that you obtained in step 3.
4
× 6
_______
4
2 4
+ 1 4
________
1 3 0 4
The final result is 13,040, which is the product of 234 and 56.
By using the strategy of adding partial products, we were able to break down the original multiplication problem into simpler multiplication operations and combine the results to find the final product. This method can be helpful when dealing with larger numbers or more complex multiplication problems.