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

00:00 Solve
00:03 Each time consider combining 2 digits, and then place
00:06 Let's start by combining ones with ones
00:09 Place the ones
00:12 Combine tens with tens
00:15 Place tens in tens, add 1 to hundreds
00:20 Combine hundreds with hundreds, remember to add 1
00:23 Place in hundreds
00:28 Combine thousands with thousands
00:33 Place thousands in thousands, and add 1 to tens of thousands
00:37 Place 0 in the missing digits
00:41 Combine tens of thousands with tens of thousands, and place
00:44 And this is the solution to the question

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