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Let's solve the subtraction problem step-by-step:
We have:
Step 1: Subtract the units place.
The units digit of the minuend (0) is less than the units digit of the subtrahend (2). We need to borrow. Borrowing from the tens place changes the 1 to a 0 in the tens place and the units place becomes 10. Finally, 10 - 2 = 8.
Step 2: Subtract the tens place.
After borrowing, the tens digit in the minuend is 0, with the subtrahend having a tens digit of 4. We need to borrow from the hundreds place. Borrowing changes the hundreds digit of the minuend from 2 to 1, and the tens digit becomes 10. Finally, 10 - 4 = 6.
Step 3: Subtract the hundreds place.
The hundreds digit of the minuend after borrowing is 1, while the subtrahend has 2. We borrow once more from the thousands place. The thousands digit decreases from 6 to 5, making the hundreds digit 11. So, 11 - 2 = 9.
Step 4: Subtract the thousands place.
Now, the thousands digit of the minuend is 5, and the subtrahend digit is 4. Simply perform the subtraction: 5 - 4 = 1.
Putting it all together, the result of the subtraction is 1968.
Therefore, the solution to the problem is .
1968
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Great question! When you need to borrow from zero, you must first borrow from the digit to its left. For example, in 6210 - 4242, the tens place has 1, but after borrowing for units, it becomes 0. Now borrow from hundreds (2 becomes 1) to make tens become 10.
Write small numbers above the original digits to show the changes! Cross out the original digit and write the new value above it. This visual tracking prevents errors and helps you see each step clearly.
We start from the rightmost column (units place) because borrowing affects the column to the left. If we started from the left, we'd have to redo our work when borrowing changes those digits!
Check your setup! In , make sure 6210 is on top since it's larger. If you accidentally put the smaller number on top, you'll get negative results.
Use addition to check: Add your answer to the number you subtracted. If you get the original top number, you're correct! ✓
Regrouping is another word for borrowing! When you borrow 1 ten to make 10 ones, you're regrouping the place values. Both terms mean the same mathematical process.
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