Solve: 4735 minus 816 Using Vertical Subtraction Method

Question

amp;4735amp;amp;  816amp;776amp; \begin{aligned} &4735 \\ -& \\ &~~816 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:06 Let's solve this problem, step by step.
00:09 We might need to borrow from two digits, so let's write it down.
00:14 Five is smaller than six.
00:20 We'll take one from the tens and add it to the ones.
00:24 Now, instead of five, we have fifteen.
00:28 Let's subtract the ones. Remember, we borrowed ten.
00:33 Write that number in the ones place.
00:36 Next, subtract the tens. Write it in the tens place.
00:41 Seven is smaller than eight.
00:44 So, we borrow one from the thousands and add it to the hundreds.
00:49 Now, we have seventeen instead of seven.
00:53 Subtract the hundreds. Remember to add the extra hundred.
00:57 Write that number in the hundreds place.
01:01 If there are any missing digits, let's fill them with zero.
01:05 Now, subtract the thousands and write it in the thousands place.
01:11 And that's how we get to the solution!

Step-by-Step Solution

To solve the subtraction problem 47358164735 - 816, we will perform each subtraction step by step:

Let's write the numbers vertically:

4735 0816      \begin{array}{c} 4735 \\ -~\phantom0816~~~~~ \\ \hline \end{array}

Step 1: Start from the rightmost digit (the units place):

  • We need to subtract 6 from 5. Since 5 is smaller than 6, we need to borrow from the tens place.

Step 2: Borrowing from the tens place:

  • The 3 (in the tens place) becomes 2, and the 5 (in the units place) becomes 15.

  • Now, subtract 6 from 15 to get 9 in the units place.

Step 3: Move to the tens place:

  • We now need to subtract 1 from 2 (since we have already borrowed 1 from the tens place).

  • This gives us 1 in the tens place.

Step 4: Move to the hundreds place:

  • Subtract 8 from 7. Since 7 is smaller than 8, we have to borrow from the thousands place.

Step 5: Borrowing from the thousands place:

  • The 4 (in the thousands place) becomes 3, and the 7 (in the hundreds place) becomes 17.

  • Now, subtract 8 from 17 to get 9 in the hundreds place.

Step 6: Move to the thousands place:

  • Subtract 0 from 3 (since no borrowing is needed here) to get 3 in the thousands place.

Putting it all together, the result is:

3919 \begin{array}{c} 3919 \\ \hline \end{array}

Thus, the solution to the subtraction problem 47358164735 - 816 is 39193919.

Answer

3919