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To solve this mathematical problem, we will subtract 74 from 956 using vertical subtraction with regrouping when necessary.
Let's perform the subtraction step-by-step:
Step 1: Write the numbers one below the other, aligning them by their place values:
Step 2: Start by subtracting the units column: - We have 6 (from 956) minus 4 (from 74), which gives us 2. Place 2 in the units column of the result.
Step 3: Move to the tens column: - We have 5 (from 956) minus 7 (from 74). Since 5 is smaller than 7, we need to regroup (borrow) 1 ten from the hundreds column: - This changes the 5 in the tens column to 15 and the 9 in the hundreds column to 8. - Now, subtract 7 from 15, which gives us 8. Place 8 in the tens column of the result.
Step 4: Finally, move to the hundreds column: - We have 8 (after regrouping) minus 0 (since there is no hundreds digit in 74), which gives us 8. Place 8 in the hundreds column of the result.
Now, the result is written as:
Therefore, the solution to the problem is 882.
882
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
You can't subtract a larger number from a smaller number in regular arithmetic! Borrowing 1 ten from the hundreds column turns the 5 into 15, making subtraction possible: 15 - 7 = 8.
When you borrow 1 ten from the hundreds place, the 9 becomes 8. Think of it as trading one hundred for ten tens - you lose 1 from hundreds but gain 10 in the tens place.
Use addition to check subtraction! Add your answer to the number you subtracted: . If you get the original number, you're correct!
Yes, always start from the ones column (rightmost) and work left! This follows the same pattern as addition and helps you handle borrowing correctly.
Treat missing digits as zero! So 74 is really 074, meaning 0 hundreds, 7 tens, and 4 ones. This makes column subtraction clearer.
No! The order matters in subtraction. . Always subtract the second number from the first number as written in the problem.
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