Solve Four-Digit Addition: 3289 + 2835 Using Column Method

Question

amp;3289+amp;amp;2835amp;776amp; \begin{aligned} &3289 \\ +& \\ &2835 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider combining 2 digits, and then we'll place
00:06 Let's start by combining ones with ones
00:09 Place the ones, add 1 to the tens
00:12 Combine tens with tens, remember to add 1 to the calculation
00:17 Place tens in tens, add 1 to hundreds
00:22 Combine hundreds with hundreds, remember to add 1
00:27 Place hundreds in hundreds, and add 1 to thousands
00:35 Combine thousands with thousands, remember to add 1
00:38 Place in thousands
00:41 And that's the solution to the question

Step-by-Step Solution

To solve this addition problem, we will follow a systematic step-by-step approach:

  • Step 1: Align the numbers vertically so that corresponding place values line up. We have:

3289+2835 \begin{aligned} &3289 \\ + &2835 \\ \end{aligned}

  • Step 2: Start adding from the rightmost digit (units place).
    • Units place: 9+5=149 + 5 = 14. Write 4 and carry over 1 to the tens place.
  • Step 3: Move to the next digit (tens place).
    • Tens place: 8+3=118 + 3 = 11. Add the carry 1: 11+1=1211 + 1 = 12. Write 2 and carry over 1 to the hundreds place.
  • Step 4: Proceed to the hundreds place.
    • Hundreds place: 2+8=102 + 8 = 10. Add the carry 1: 10+1=1110 + 1 = 11. Write 1 and carry over 1 to the thousands place.
  • Step 5: Finally, add the thousands place.
    • Thousands place: 3+2=53 + 2 = 5. Add the carry 1: 5+1=65 + 1 = 6. Write 6.

By compiling these results, the sum is 6124.

Therefore, the solution to the problem is 61246124.

Answer

6124