Solve Two-Digit Addition: 53 + 37 in Vertical Format

Two-Digit Addition with Regrouping

53+37776 \begin{aligned} &53 \\ +& \\ &37\\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem together.
00:07 We'll add the digits two at a time, step by step.
00:12 First, add the ones with the ones.
00:15 Place the sum in the ones spot, and carry one if needed.
00:19 Next, add the tens with the tens. Don't forget to include the carry, if there was one.
00:25 And now, place that sum in the tens position.
00:30 Great job! And that's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

53+37776 \begin{aligned} &53 \\ +& \\ &37\\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Align the numbers
  • Step 2: Add the digits in the ones columm and handle carrying if necessary
  • Step 3: Add the digits in the tens column, including any carry value

Now, let's work through each step:

Step 1: Align the numbers vertically by place value:

53+37 \begin{aligned} &53 \\ + &37 \\ \hline \end{aligned}

Step 2: Add the digits in the ones column (3 + 7 = 10):

Write 0 below the line in the ones column and carry over 1 to the tens column.

153+370 \begin{aligned} &1 & \\ &53 \\ + &37 \\ \hline &0 \\ \end{aligned}

Step 3: Add the digits in the tens column, considering the carried over 1 (5 + 3 + 1 = 9):

Write 9 below the line in the tens column:

153+3790 \begin{aligned} &1 & \\ &53 \\ + &37 \\ \hline 9 &0 \\ \end{aligned}

Therefore, the sum of 53 and 37 is 90 90 .

This matches the correct answer: 90.

3

Final Answer

90

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value to ensure proper column addition
  • Regrouping: When ones column sum ≥ 10, write ones digit and carry tens
  • Verification: Check by adding in reverse order: 37 + 53 = 90 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry when ones column sum is 10 or greater
    Don't just write 10 in the ones place = impossible digit! When 3 + 7 = 10, you must write 0 in ones column and carry the 1 to tens column. Always remember that each place value can only hold single digits 0-9.

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 line up the numbers in columns?

+

Place value alignment is crucial! The ones digits must be in the same column, and tens digits in the same column. This ensures you're adding like place values together.

What does 'carrying' mean in addition?

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Carrying happens when a column sum is 10 or more. You write the ones digit of that sum in the current column and 'carry' the tens digit to the next column left. It's like exchanging 10 ones for 1 ten!

How do I remember which number goes where when carrying?

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Think of it as breaking apart the sum: if 3 + 7 = 10, write the 0 below in the ones column and write the 1 above the tens column to add later.

Can I add from left to right instead of right to left?

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It's better to add from right to left (ones first, then tens). This way, you handle any carrying as you go. Adding left to right can make carrying more confusing!

What if I forget to add the carried number?

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Always look for that small carried digit above the column! In this problem, you must add 5 + 3 + 1 (the carried 1) = 9. Missing the carried number gives you the wrong answer.

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