Solve Vertical Addition: 43 + 9 Step-by-Step

Vertical Addition with Carrying

43+  9776 \begin{aligned} &43 \\ +& \\ &~~9 \\ &\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 Start by adding ones with ones
00:09 Place the ones, add the tens to the tens
00:12 Remember 1 carry-over
00:15 Place 0 where there is no digit
00:18 Add tens with tens, remember to add 1
00:21 Place the solution in tens
00:24 And that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

43+  9776 \begin{aligned} &43 \\ +& \\ &~~9 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the vertical addition problem, we'll proceed through the following steps:

  • Step 1: Align the numbers by place value: tens and ones.
    Given: 43+ 9\begin{aligned} &43 \\ +& \\ &~9 \\ \end{aligned}
  • Step 2: Add the ones column:
    Add 33 (from 4343) and 99. The sum is 1212. Because 1212 is greater than 99, we need to carry over:
    • Write down the 22 in the ones place.
    • Carry over the 11 to the tens column.
  • Step 3: Add the tens column:
    Add the 44 (from the tens place of 4343) and the carried over 11, the sum is 55.
    • The tens column now becomes 55.
  • Step 4: Assemble the result:
    The result is the tens value 55 and the ones value 22, making the final answer 5252.

Therefore, the solution to the problem is 5252.

3

Final Answer

52

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value (ones under ones)
  • Technique: When 3+9=12 3 + 9 = 12 , write 2 and carry 1
  • Check: Add horizontally: 43+9=52 43 + 9 = 52 matches vertical result ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry when sum exceeds 9
    Don't write 12 in the ones place when adding 3 + 9 = wrong answer of 4312! The ones place can only hold single digits. Always carry the ten to the next column and write only the ones digit.

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 I need to carry the 1 when 3 + 9 = 12?

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Because each place value column can only hold one digit! The 12 means 1 ten and 2 ones, so the 1 ten must move to the tens column.

What if there's nothing in the tens place to add the carried number to?

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You still add the carried number! In this problem, we add the carried 1 to the 4 in the tens place of 43, giving us 5.

How do I know if I aligned the numbers correctly?

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Make sure the ones digits line up vertically. The 3 from 43 should be directly above the 9, and the 4 should be in the tens column.

Can I add from left to right instead?

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No! Always add from right to left (ones first, then tens). This way, you can properly carry any extra values to the next column.

What if I get a different answer when checking?

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Double-check your carrying! The most common error is forgetting to add the carried digit or writing it in the wrong place. Try the problem again step by step.

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