Subjects arithmetic

Long Subtraction 871B2A

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Question: if i wanna find result of $463 - 317 = ?$ by using long subtraction, here are following steps --> always started on ones place, but $3$ is smaller than $7$, so i need to borrow a ten from next digit --> this is result when $3$ get borrowed digit like a ten, that makes $13$ --> here perform subtraction on ones place $13 - 7 = 6$ --> after this, go to tens place, $6$ was former digit before borrowed, and $6$ becomes $5$ when got borrowed --> perform subtraction on tens place $5 - 1 = 4$ --> and finally, go to hundreds place like $4 - 3 = 1$ --> to get final result, combined their digits like $1$ in hundreds place, $4$ in tens place, and $6$ in ones place, that makes $146$
1. **State the problem:** We want to find the result of the subtraction $$463 - 317$$ using long subtraction. 2. **Start with the ones place:** The ones digit in the minuend is $3$, which is smaller than the ones digit in the subtrahend $7$. Since $3 < 7$, we need to borrow $1$ ten from the tens place. 3. **Borrowing:** Borrowing $1$ ten from the tens place (which is $6$) reduces it to $5$, and adds $10$ to the ones place digit $3$, making it $13$. 4. **Subtract the ones place:** Now subtract the ones digits: $$13 - 7 = 6$$ 5. **Subtract the tens place:** After borrowing, the tens digit is now $5$. Subtract the tens digits: $$5 - 1 = 4$$ 6. **Subtract the hundreds place:** The hundreds digit remains $4$ (since we borrowed from tens, not hundreds). Subtract the hundreds digits: $$4 - 3 = 1$$ 7. **Combine the results:** The digits from hundreds, tens, and ones places are $1$, $4$, and $6$ respectively, so the final result is $$146$$. **Final answer:** $$463 - 317 = 146$$