Subtract 1789 - 793: Vertical Format Solution Guide

Question

amp;1789amp;amp;  793amp;776amp; \begin{aligned} &1789 \\ -& \\ &~~793 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then we'll place
00:06 Subtract ones from ones, and place in ones
00:09 8 is less than 9
00:16 Therefore we subtract 1 from hundreds, and add this amount to tens
00:20 So now instead of 8 we will have 18
00:25 Subtract tens from tens plus the ten
00:28 Place in tens
00:32 6 is less than 7
00:38 Therefore we subtract 1 from thousands, and add this amount to hundreds
00:44 So now instead of 6 we will have 16
00:51 Subtract hundreds from hundreds plus the hundred
00:54 Place in hundreds
00:57 Place 0 in the missing digits
01:00 Subtract thousands from thousands, and place in thousands
01:03 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll carry out vertical subtraction by following these steps:

  • Step 1: Write the minuend and subtrahend vertically aligned, ensuring each digit stands in its respective column.
  • Step 2: Start subtracting from the rightmost column (units) and move leftwards, managing any requisite borrowing.

Let's execute the subtraction:

Step 1: Begin with the units column.

93=6 9 - 3 = 6

Step 2: Move to the tens column.

89 8 - 9

Since 8 is smaller than 9, we need to borrow 1 from the hundreds column, changing 8 to 18:

189=9 18 - 9 = 9

Step 3: Move to the hundreds column. Since we've borrowed 1, adjust accordingly.

67 6 - 7

Here, we again need to borrow from the thousands column making it 16:

167=9 16 - 7 = 9

Step 4: In the thousands column, after borrowing, we have:

10=0 1 - 0 = 0

Thus, compiling the subtractions, we are left with the final solution:

996 996

Therefore, the solution to the subtraction problem 1789793 1789 - 793 is 996 996 , which corresponds to choice 2.

Answer

996