Solve the Subtraction Problem: 9417 minus 3708

Question

amp;9417amp;amp;3708amp;776amp; \begin{aligned} &9417 \\ -& \\ &3708 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider a shortage of 2 digits, and then we'll place
00:06 7 is less than 8
00:10 Therefore we subtract 1 from the tens and add this amount to the ones
00:14 So now instead of 7 we will have 17
00:19 We subtract the ones from the ones plus the ten
00:22 We place in the ones
00:25 We subtract tens from tens, and place in tens
00:31 4 is less than 7
00:34 Therefore we subtract 1 from the thousands and add this amount to the hundreds
00:39 So now instead of 4 we will have 14
00:44 We subtract the hundreds from the hundreds plus the hundred
00:47 We place in hundreds
00:51 We subtract thousands from thousands, and place in thousands
00:54 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Write the numbers vertically and align by their place value.
  • Step 2: Start subtracting from the rightmost digit (the units place).
  • Step 3: Move to the left, regroup as needed for each column.

Let's work through each step:

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

94173708 \begin{array}{r} 9417 \\ -3708 \\ \hline \end{array}

Step 2: Begin with the units column:

78 7 - 8

We can't subtract 8 from 7, so we need to regroup. We take 1 ten from the tens place, converting the 7 into 17.

Step 3: After regrouping:

178=9 17 - 8 = 9

Step 4: Move to the tens column:

00=0 0 - 0 = 0

No regrouping needed here.

Step 5: Move to the hundreds column:

47 4 - 7

We can't subtract 7 from 4, so we again regroup. We take 1 thousand from the thousands column, making the hundreds digit 14.

Step 6: After regrouping:

147=7 14 - 7 = 7

Step 7: Finally, the thousands column:

83=5 8 - 3 = 5

We now have each column solved.

Therefore, the result is 5709.

The solution to the problem is 5709 5709 .

Answer

5709