Solve Vertical Addition: 377 + 3 Step by Step

Vertical Addition with Carrying

377+    3776 \begin{aligned} &377 \\ +& \\ &~~~~3 \\ &\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 we calculate the sum of 2 digits, and then we place
00:06 Let's start by adding ones with ones
00:09 Place the ones in ones position, add 1 to tens
00:12 Place 0 in the missing digits
00:15 Add the tens, remember to add 1, and place in tens
00:19 Place 0 in the missing digits
00:23 Add the hundreds, and place in hundreds
00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

377+    3776 \begin{aligned} &377 \\ +& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

Let's solve this problem by performing vertical addition:

  • Step 1: Write the numbers vertically, aligning the digits by place value.

377+03776 \begin{array}{c} 377 \\ + \\ \phantom{0}3 \\ \underline{\phantom{776}} \\ \end{array}

  • Step 2: Start with the units place. Add 77 (from 377) and 33, getting 1010.
  • Step 3: Since 1010 is greater than 99, we write down 00 in the units place and carry over 11 to the tens place.
  • Step 4: Move to the tens place. Add 77 (from 377 in tens place) plus the carried over 11, resulting in 88.
  • Step 5: Move to the hundreds place. Since there is no additional value to add, it remains 33.

Thus, the computed sum is:

377+3776380 \begin{array}{c} 377 \\ + 3 \\ \underline{\phantom{776}} \\ 380 \\ \end{array}

Therefore, the sum of 377377 and 33 is 380\mathbf{380}.

3

Final Answer

380

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up digits by place value before adding
  • Technique: Add 7 + 3 = 10, write 0 and carry 1
  • Check: Count up from 377: 378, 379, 380 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry when sum exceeds 9
    Don't just write 10 in the units place = wrong place values! This creates numbers with invalid digits. Always write the units digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do we start adding from the right side?

+

We start from the units place (rightmost) because any carrying affects the next column to the left. This way, we handle all carries as we move left through the places.

What does 'carry' mean exactly?

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When two digits add up to 10 or more, we write down the units digit and carry the tens digit to the next column. For example: 7+3=107 + 3 = 10, so write 0 and carry 1.

How do I know where to place the carried number?

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The carried number always goes to the next column to the left. Write it small above that column so you remember to add it with the other digits there.

What if there's nothing to add in the hundreds place?

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If there's no second number in that place value, just bring down the digit from the first number. In this problem, we bring down the 3 from 377.

Can I add from left to right instead?

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Not recommended! Adding left to right makes carrying much more complicated. You might have to change digits you already wrote. Always work right to left.

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