Solve Vertical Subtraction: 354 minus 6 Step-by-Step

Question

amp;354amp;amp;    6amp;776amp; \begin{aligned} &354 \\ -& \\ &~~~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider borrowing 2 digits, and then we'll place
00:06 4 is less than 6
00:09 Therefore we'll subtract 1 from the tens and add this amount to the ones
00:14 So now instead of 4 we'll have 14
00:18 Subtract the ones from the ones plus ten
00:22 Place in the ones
00:25 Place 0 in the borrowed digits
00:29 Subtract tens from tens, and place in tens
00:33 Subtract hundreds from hundreds, and place in hundreds
00:36 And this is the solution to the problem

Step-by-Step Solution

To solve this problem of subtracting 6 from 354, we'll follow these steps:

  • Step 1: Set up the problem with the two numbers aligned by their place values.
  • Step 2: Start subtracting from the rightmost digits (units).
  • Step 3: Subtract each column, handling any necessary regrouping (borrowing).

Now, let's solve it:

Step 1: Write the numbers with the larger number on top:

35406 \begin{array}{c} 354 \\ -\phantom{0}6 \\ \hline \end{array}

Step 2: Subtract the numbers starting with the units place:

  • Units: 464 - 6 can't be performed as 4 is less than 6; we'll need to borrow from the tens column.
  • To borrow, reduce the tens digit (5) by 1 (making it 4), and add 10 to the units digit (4) making it 14.
  • Subtract 146=814 - 6 = 8.
  • Tens: Now, since we borrowed 1 from the tens, we have 4 left. Thus, 40=44 - 0 = 4.
  • Hundreds: The hundreds digit: 30=33 - 0 = 3.

So the subtraction yields:

35406348 \begin{array}{c} 354 \\ -\phantom{0}6 \\ \hline 348 \\ \end{array}

Therefore, the solution to the problem is 348 348 .

Answer

348