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To solve this problem of subtracting 29 from 186 using vertical subtraction, we will follow these steps:
Let's work through the subtraction problem:
186
- 29
--------
Step 1: Start with the units column: . Because 6 is less than 9, we need to regroup.
Step 2: Look at the tens column. From the tens column represented as 8, we borrow 1 ten (equivalent to 10 units), converting 8 tens to 7, and adding 10 to the units column, making it 16.
Step 3: Now subtract in the units column: .
Step 4: Move to the tens column. After borrowing, we have 7 tens minus 2 tens: .
Step 5: Finally, subtract the hundreds column: , as no borrowing was needed here.
Combine these results from each column to obtain the final answer: 157.
Therefore, the solution to the problem is , which matches choice 3 from the provided options.
157
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
You cannot subtract a larger number from a smaller one in basic subtraction! When the top digit is smaller, you must borrow from the next column to make it larger.
Borrowing means taking 1 group of 10 from the left column and adding it to the current column. So 6 ones becomes 16 ones, but 8 tens becomes 7 tens.
Borrow whenever the top digit is smaller than the bottom digit in any column. Compare each column from right to left before subtracting.
When borrowing from 0, you must keep borrowing left until you find a non-zero digit. For example: 302 - 156 requires borrowing from the hundreds place first.
Always check by adding! Your answer plus the number you subtracted should equal the original number: ✓
Lining up by place value ensures you subtract ones from ones, tens from tens, and hundreds from hundreds. Misalignment leads to completely wrong answers!
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