Subtract 4272 from 51843: Vertical Format Multi-digit Subtraction

Question

amp;51843amp;amp;  4272amp;776amp; \begin{aligned} &51843\\ -& \\ &~~4272 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we subtract 2 digits, and then we place
00:06 Now we subtract ones from ones, and place in ones
00:09 4 is less than 7
00:13 And now we borrow ten from hundreds for the tens
00:16 Which will change the hundreds from 8 to 7
00:21 In other words, now instead of 4 we'll have 14, in tens!
00:25 Subtract tens from tens, and place in tens
00:31 Subtract hundreds from hundreds, and place in hundreds
00:36 1 is less than 4
00:41 We borrow one hundred thousand from hundred thousands for the thousands
00:47 In other words, now instead of 1 we'll have 11, in thousands!
00:51 Subtract thousands from thousands, and place in thousands
00:56 Place 0 in the missing digits
01:00 Subtract ten thousands from ten thousands, and place
01:03 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll use the column subtraction method:

  • Step 1: Write the numbers vertically, aligning them by place value:

  • Step 2: Subtract each digit starting from the rightmost (units) place:

12 51843104272 \begin{array}{c} \phantom{12\ } 51843 \\ - \phantom{10} 4272 \\ \hline \end{array}

Step 3: Units place: 32=13 - 2 = 1.

Step 4: Tens place: 474 - 7. Here, we need to borrow 1 from the hundreds place, so it becomes 147=714 - 7 = 7. After borrowing, the hundreds digit from 8 becomes 7.

Step 5: Hundreds place: 72=57 - 2 = 5.

Step 6: Thousands place: 141 - 4. Again, we borrow 1 from the ten-thousands place, so it becomes 114=711 - 4 = 7. After borrowing, the ten-thousands digit from 5 becomes 4.

Step 7: Ten-thousands place: 40=44 - 0 = 4.

The completed subtraction is:

12 5184310427210 47571 \begin{array}{c} \phantom{12\ } 51843 \\ - \phantom{10} 4272 \\ \hline \phantom{10\ } 47571 \\ \end{array}

Therefore, the solution to the problem is 47571 47571 .

Answer

47571