Subtract 6381 from 35476: Multi-digit Subtraction Problem

Question

amp;35476amp;amp;  6381amp;776amp; \begin{aligned} &35476 \\ -& \\ &~~6381 \\ &\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 Now we subtract ones from ones, and we'll place in ones
00:09 7 is less than 8
00:13 And now we'll borrow ten from hundreds for the tens
00:16 Which will turn the hundreds from 4 to 3
00:20 In other words, now instead of 7 we'll have 17, in tens!
00:24 Subtract tens from tens, and we'll place in tens
00:30 Subtract hundreds from hundreds, and we'll place in hundreds
00:35 5 is less than 6
00:39 We'll borrow one hundred thousand from hundred thousands for the thousands
00:44 In other words, now instead of 5 we'll have 15, in thousands!
00:49 Subtract thousands from thousands, and we'll place in thousands
00:58 Place 0 in the missing digits
01:01 Subtract tens of thousands from tens of thousands, and we'll place
01:04 And this is the solution to the question

Step-by-Step Solution

To solve this subtraction problem, we will perform the following steps:

  • Step 1: Align the numbers vertically by their rightmost digits:

35476amp;06381amp; \begin{aligned} 35476& \\ -\phantom{0} 6381& \\ \end{aligned}

  • Step 2: Subtract each pair of digits, starting from the rightmost column. If a digit in the minuend is smaller than the digit in the subtrahend, we will perform borrowing:

    • Units: 6 (from 35476) - 1 (from 6381) = 5

    • Tens: 7 (from 35476) - 8 (from 6381): Borrow 1 from the next left digit in the minuend, making it 17 - 8 = 9

    • Hundreds: 3 (borrowed previous 1 made it 4) - 3 = 0

    • Thousands: 5 (from 35476) - 0 (as there is no thousands digit from 6381) = 5

    • Ten thousands: Borrow 1 was already accounted, 3 (from 35476) - 0 = 2 (no digit to subtract from 6381)

  • Step 3: Write down the final result from each subtraction calculation:

  • amp;29095 \begin{aligned} &29095 \\ \end{aligned}

Therefore, the solution to the problem is 29095 29095 .

Answer

29095