Solve Vertical Subtraction: 274 minus 86 Step-by-Step

Question

amp;274amp;amp;  86amp;776amp; \begin{aligned} &274 \\ -& \\ &~~86 \\ &\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
00:07 4 is less than 6
00:11 Therefore we subtract 1 from the tens place and add this amount to the ones place
00:17 So now instead of 4 we will have 14
00:24 We subtract the ones from the ones plus the ten
00:29 We place in the ones place
00:33 6 is less than 8
00:39 Therefore we subtract 1 from the hundreds place and add this amount to the tens place
00:42 So now instead of 6 we will have 16
00:50 We subtract the tens from the tens plus the ten
00:53 We place in the tens place
00:55 We place 0 in the missing digits
00:58 We subtract hundreds from hundreds, and place in hundreds
01:01 And this is the solution to the problem

Step-by-Step Solution

To solve this subtraction problem, we will follow these steps:

  • Step 1: Line up the numbers vertically to align the digits by place value.

  • Step 2: Start from the units column, note 464 - 6 requires borrowing from the tens place.

    • Since 4 is smaller than 6, we borrow 1 from the next higher place value. The tens digit (7) becomes 6, and the units digit becomes 1414.

  • Step 3: Subtract in the units column: 146=814 - 6 = 8.

  • Step 4: Move to the tens column, subtract 686 - 8. Since we borrowed from the hundreds place, it simplifies to 168=816 - 8 = 8.

  • Step 5: The hundreds digit in the minuend is 22, reduced by 1 due to previous borrowing, makes the effective hundreds 11.

  • Step 6: Finally, in the hundreds column, subtract 10=11 - 0 = 1.

Let's summarize the steps calculations as follows:

274amp; 86amp;2188 \begin{aligned} 274& \\ - \ 86& \\ \overline{\phantom{2}188} \\ \end{aligned}

Upon completion, the final result is 188188.

Answer

188