Asked by Help me out !!!
can anyone help me visualize multidigit multiplication ?
for example let us consider this question
245
X345
here when we multiply 4 at tens place with 5 with at ones place we do it as if it onesXones multiplication but place the product at tens place and same with 3 at hundreds place with 4 at tens place. can anyone anwer why this idea works and what's the logic? How to visualize it?
for example let us consider this question
245
X345
here when we multiply 4 at tens place with 5 with at ones place we do it as if it onesXones multiplication but place the product at tens place and same with 3 at hundreds place with 4 at tens place. can anyone anwer why this idea works and what's the logic? How to visualize it?
Answers
Answered by
Steve
it works because of the distributive property of multiplication and addition.
345 = 300+40+5
so,
345*245 = 5*245 + 40*245 + 300*245
345 = 300+40+5
so,
345*245 = 5*245 + 40*245 + 300*245