Subtract 314 minus 126: Vertical Format Solution

Question

amp;314amp;amp;126amp;776amp; \begin{aligned} &314 \\ -& \\ &126 \\ &\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
00:05 4 is less than 6
00:09 Therefore we subtract 1 from the tens and add this amount to the ones
00:13 So now instead of 4 we will have 14
00:19 Subtract the ones from the ones plus ten
00:25 Place in ones
00:29 0 is less than 2
00:33 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:38 So now instead of 0 we will have 10
00:42 Subtract the tens from the tens plus ten
00:47 Place in tens
00:50 Subtract hundreds from hundreds, and place in hundreds
00:53 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll perform vertical subtraction as follows:

We'll align the numbers by their place values:
     314314
-  126

Start with the rightmost column (the units place):

  • Units Place: 464 - 6 requires borrowing because 4 is less than 6. Borrow 1 from the tens column in 314, turning it into 10, leaving 0 in the tens place. Now, 146=814 - 6 = 8.

  • Tens Place: After borrowing, 020 - 2 also requires borrowing from the hundreds column. Borrow 1 from the hundreds column, leaving 22 in the hundreds place. Now, 102=810 - 2 = 8.

  • Hundreds Place: Subtract as normal, 21=12 - 1 = 1.

When we put it all together, the result is:

  • Hundreds: 11

  • Tens: 88

  • Units: 88

Therefore, 314126=188314 - 126 = 188.

The solution to the problem is 188188, which matches choice 44.

Answer

188