This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Here's how to subtract the numbers in base five: We need to calculate 4321_five - 4232_five. Step 1: Align the numbers by their place values. c 04321_five \\ -04232_five \\ Step 2: Subtract the rightmost column (units place). We need to subtract 1 - 2. Since 1 < 2, we borrow from the next column to the left. Borrow 1 from the '2' in the 5^1 place, which means we add 5 to the '1' in the 5^0 place. So, 1 becomes 1 + 5 = 6. The '2' in the 5^1 place becomes '1'. Now, we calculate 6 - 2 = 4. c 0432^11^6_five \\ -04232_five \\ 00004_five Step 3: Subtract the next column (fives place). We now have '1' in this column (from the original '2' after borrowing). We need to subtract 1 - 3. Since 1 < 3, we borrow from the next column to the left. Borrow 1 from the '3' in the 5^2 place, which means we add 5 to the '1' in the 5^1 place. So, 1 becomes 1 + 5 = 6. The '3' in the 5^2 place becomes '2'. Now, we calculate 6 - 3 = 3. c 043^22^61^6_five \\ -04232_five \\ 00034_five Step 4: Subtract the next column (twenty-fives place). We now have '2' in this column (from the original '3' after borrowing). We need to subtract 2 - 2 = 0. c 043^22^61^6_five \\ -04232_five \\ 00034_five Step 5: Subtract the leftmost column (one hundred twenty-fives place). We have '4' in this column. We need to subtract 4 - 4 = 0. c 043^22^61^6_five \\ -04232_five \\ 0034_five Leading zeros are not typically written, so 0034_five is simply 34_five. The final answer is 34_five. 34_five What's next?