Solve Vertical Addition: Finding the Sum of 37 + 43

Vertical Addition with Carrying

37+43776 \begin{aligned} &37 \\ +& \\ &43 \\ &\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 substitute
00:06 Let's start by adding ones with ones
00:09 Place the ones digit, and remember 1 above
00:12 Add tens with tens, remember to add 1 to the calculation
00:19 Place in the tens position
00:21 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

37+43776 \begin{aligned} &37 \\ +& \\ &43 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

Let's solve the problem of adding 37 and 43 using vertical addition:

  • Step 1: Align the Numbers Vertically
    Write the numbers such that their digits align according to place value: 37+43 \begin{array}{c} & 37 \\ + & 43 \\ \hline \end{array}
  • Step 2: Add the Units Place
    Start with the units place (rightmost digits). Add 7 (from 37) to 3 (from 43): 7+3=10 7 + 3 = 10
    Since 10 is greater than 9, we write 0 in the units place and carry over 1 to the tens place.
  • Step 3: Add the Tens Place
    Now, add the tens digits: 3 (from 37) and 4 (from 43), plus the 1 we carried over: 3+4+1=8 3 + 4 + 1 = 8
  • Step 4: Write the Final Sum
    Combining these results, we place 0 in the units position and 8 in the tens position, resulting in: 37+4380 \begin{array}{c} & 37 \\ + & 43 \\ \hline & 80 \\ \end{array}

Therefore, the sum of 37 and 43 is 8080.

3

Final Answer

80

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value before adding
  • Technique: Add units first: 7 + 3 = 10, carry 1
  • Check: Count by tens from 37: 47, 57, 67, 77 = 80 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry when sum exceeds 9
    Don't write down 10 in the units place = wrong answer like 1043! This ignores place value rules. Always carry the tens digit to the next column when the sum is 10 or more.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &83 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do I need to carry the 1 when I get 10?

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Because 10 = 1 ten + 0 units! In our place value system, each column can only hold digits 0-9. When you get 10, the 1 belongs in the tens place.

What happens if I forget to add the carried number?

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You'll get the wrong answer! In this problem, forgetting the carried 1 would give you 70 instead of 80. Always remember: carried number + tens digits = final tens digit.

Can I add from left to right instead?

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It's much harder that way! Adding right to left (units first) is easier because you handle carrying as you go. Left to right requires you to estimate and adjust, which creates more mistakes.

How can I check my answer without redoing the whole problem?

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Try counting up from the first number! From 37, count by the second number: 37 + 40 = 77, then 77 + 3 = 80. Or use subtraction: 80 - 37 should equal 43.

What if both digits in a column add up to more than 10?

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Same rule applies! If you get 15, write 5 and carry 1. If you get 18, write 8 and carry 1. The units digit stays in that column, the tens digit always gets carried.

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