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

00:04 Let's solve this math problem step by step.
00:07 We begin by looking at borrowing two digits.
00:11 The number 4 is less than 6.
00:15 So, we need to borrow. We subtract 1 from the tens place and add it to the ones.
00:21 Now, instead of 4, we have 14.
00:28 Subtract the ones from 14, and place the result in the ones column.
00:33 Notice that 6 is less than 8.
00:37 We need to borrow again, subtract 1 from the hundreds, and add it to the tens.
00:43 Now, we have 16 instead of 6.
00:46 Subtract the tens from 16, and place the result in the tens column.
00:54 Then place a zero in any missing digits.
00:57 Lastly, subtract the hundreds and place the answer in the hundreds column.
01:02 And there you have it, the problem is solved!

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