Instead of having to do multiples of two numbers with several digits in each, all you need to be able to do is to multiply pairs of 1 digit numbers, add the correct number of 0s for powers of tens, and then add together a string of numbers.
Actually, all that sounds a lot more complicated than it is. It may be easier to explain with an example:
567*89
Adding Partial products: (500*80 + 500*9 + 60*80 + 60*9 + 7*80 + 7*9)
= 40000 + 4500 + 4800 + 540 + 560 + 63
= 50463
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How does adding partial products help solve a multiplication problem
because if you don't you will get the wrong answer
It can help you solve the problem more easily to get the exact answer.
The partial products for 57 times 48 are: 48 multiplied by 7, which equals 336 48 multiplied by 50, which equals 2,400 Adding these two partial products together gives a total product of 2,736.
Oh, dude, comparing partial products and regrouping is like comparing apples and oranges. Partial products involve multiplying parts of numbers separately and adding them up, while regrouping is like rearranging numbers to make calculations easier. They're both methods used in multiplication, but they're as different as a cat and a dog.