Solve Three-Digit Addition: 156 + 254 Using Vertical Format

156+254776 \begin{aligned} &156 \\ +& \\ &254 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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, add 1 to the tens
00:12 Combine tens with tens, remember to add 1 to the calculation
00:20 Place tens in tens, add 1 to hundreds
00:24 Combine hundreds with hundreds, remember to add 1
00:30 Place in hundreds
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

156+254776 \begin{aligned} &156 \\ +& \\ &254 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Add the digits in the units column.
  • Step 2: Add the digits in the tens column, including any carry from the units column.
  • Step 3: Add the digits in the hundreds column, including any carry from the tens column.

Now, let's work through each step:

Step 1: Adding Units
- Consider the rightmost column (units place). We add the digits: 66 (from 156) and 44 (from 254).
- 6+4=106 + 4 = 10.
- We write down 00 in the units place and carry over 11 to the tens place.

Step 2: Adding Tens
- Move to the next column on the left (tens place). We add the digits: 55 (from 156), 55 (from 254), plus the carry-over 11 from the previous step.
- 5+5+1=115 + 5 + 1 = 11.
- We write down 11 in the tens place and carry over 11 to the hundreds place.

Step 3: Adding Hundreds
- Move to the hundreds column. We add the digits: 11 (from 156), 22 (from 254), plus the carry-over 11.
- 1+2+1=41 + 2 + 1 = 4.
- We write down 44 in the hundreds place.

Putting it all together, the sum of 156+254=410156 + 254 = 410.

Therefore, the solution to the problem is 410 410 .

3

Final Answer

410

Practice Quiz

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\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

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