Solve the Subtraction Problem: 186 minus 29 Using Column Method

Question

amp;186amp;amp;  29amp;776amp; \begin{aligned} &186 \\ -& \\ &~~29 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider borrowing 2 digits, and then we place
00:06 6 is less than 9
00:09 So we borrow 1 from the tens column and add this amount to the ones
00:14 Which means now instead of 6 we will have 16
00:17 Subtract the ones from the ones plus the ten
00:21 Place in the ones column
00:28 Subtract tens from tens, and place in tens column
00:32 Place 0 in the borrowed digits
00:35 Subtract hundreds from hundreds, and place in hundreds column
00:38 And this is the solution to the problem

Step-by-Step Solution

To solve this problem of subtracting 29 from 186 using vertical subtraction, we will follow these steps:

  • Step 1: Set up the subtraction problem by writing 186 above 29, aligning them based on place value (units, tens, hundreds).
  • Step 2: Begin subtracting from the rightmost column (units).
  • Step 3: If the top digit in a column is smaller than the bottom digit, regroup from the next left column.
  • Step 4: Write the result beneath the line for each column.

Let's work through the subtraction problem:
186
- 29
--------

Step 1: Start with the units column: 696 - 9. 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: 169=716 - 9 = 7.

Step 4: Move to the tens column. After borrowing, we have 7 tens minus 2 tens: 72=57 - 2 = 5.

Step 5: Finally, subtract the hundreds column: 10=11 - 0 = 1, 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 157157, which matches choice 3 from the provided options.

Answer

157