Add Four-Digit Numbers: 8472 + 5261 Using Column Method

Question

amp;8472+amp;amp;5261amp;776amp; \begin{aligned} &8472\\ +& \\ &5261 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:06 Let's solve this problem together.
00:09 We'll combine two digits at a time.
00:12 Start by adding the ones place with the ones.
00:16 Put that result in the ones place.
00:19 Next, add the tens with the tens.
00:22 Place that in the tens spot and carry over one to the hundreds.
00:27 Add the hundreds together and don’t forget the one you carried.
00:31 Place this total in the hundreds column.
00:34 Now, add up the thousands with the thousands.
00:39 Put this in the thousands place and carry one to the tens of thousands.
00:44 Fill any missing spots with zero.
00:47 Finally, add tens of thousands to tens of thousands.
00:51 And there you have it, we've solved the problem!

Step-by-Step Solution

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

  • Step 1: Align the numbers by their place values.
  • Step 2: Add the digits starting from the rightmost column.
  • Step 3: Handle any carryovers properly.
  • Step 4: Write down the final result.

Now, let's work through each step:

Step 1: Align the numbers:

84728472
+5261+ 5261
_________\_\_\_\_\_\_\_\_\_

Step 2: Begin adding the digits starting from the rightmost side:

Units column: 2+1=32 + 1 = 3.

Tens column: 7+6=137 + 6 = 13. Write 33 and carry over 11.

Hundreds column: 4+2+1(carry)=74 + 2 + 1 \,(carry) = 7.

Thousands column: 8+5=138 + 5 = 13. Write 33 and carry over 11.

Step 3: Handle the extra thousands place from the carryover: 11.

Thus, the full addition with carryovers corrected is:

84728472
+5261+ 5261
________=_13733\_\_\_\_\_\_\_\_=\_13733

Therefore, the correct solution to the problem is 1373313733.

Answer

13733