Subtract 106 from 404: Vertical Format Solution

Question

amp;404amp;amp;106amp;776amp; \begin{aligned} &404 \\ -& \\ &106 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider borrowing 2 digits, and then we'll place
00:06 4 is less than 6
00:09 The tens digit is also equal to 0 so we can't borrow from it
00:14 We'll borrow a hundred from the hundreds place for the tens
00:18 So now instead of 0 we'll have 10 in the tens place!
00:22 And now we'll borrow ten from the tens place for the ones
00:26 Which will change the tens from 10 to 9
00:29 So now instead of 4 we'll have 14 in the ones place!
00:35 Now we subtract ones from ones, and place in ones
00:39 Subtract tens from tens, and place in tens
00:43 Subtract hundreds from hundreds, and place in hundreds
00:48 And that's the solution to the problem

Step-by-Step Solution

Let's solve the subtraction problem 404106404 - 106 step-by-step:

  • Align the numbers vertically by their place values:
  • 0404106 \begin{array}{c} \phantom{0}404 \\ -106 \\ \end{array}
  • Subtract starting from the rightmost column (ones):
  • The ones column: 464 - 6 requires borrowing.

    • We need to borrow from the tens column. However, the tens column in 404 has a zero, so we proceed to the hundreds column.
    • Borrow 1 from the hundreds column, turning 4 into 3, and the tens zero into 10.
    • Then, borrow again from the new tens column (10), turning it into 9 and adding 10 to the ones, making it 14.
    • Subtract: 146=814 - 6 = 8.
  • Subtract the tens column:
  • Now, subtract the tens column: 90=99 - 0 = 9.

  • Subtract the hundreds column:
  • Finally, for the hundreds column: 31=23 - 1 = 2.

So, putting it all together, the result of subtracting 106106 from 404404 is 298298.

Therefore, the solution to the subtraction problem is 298298.

Answer

298