Solve Vertical Addition: 489 + 37 Step-by-Step

Vertical Addition with Carrying

489+  37776 \begin{aligned} &489 \\ +& \\ &~~37 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:02 Each time consider the addition of 2 digits, and then write down
00:05 Let's start by adding units with units
00:08 Write down the units, carry 1 to the tens
00:12 Add tens with tens, remember to add 1 to the calculation
00:18 Write down tens in tens place, carry 1 to hundreds
00:22 Write 0 in the missing digits
00:25 Add hundreds with hundreds remember to add 1, write in hundreds place
00:31 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

489+  37776 \begin{aligned} &489 \\ +& \\ &~~37 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

The key steps to solve this addition problem using vertical addition are as follows:

  • First, write the numbers vertically, ensuring the alignment by place value. The problem is set up as:
  • 489+37776 \begin{array}{c} 489 \\ +37 \\ \underline{\phantom{776}} \\ \end{array}

  • Step 1: Add the digits in the ones column: 9+7=169 + 7 = 16. Write 6 in the ones place and carry over 1 to the tens column.
  • Step 2: Add the digits in the tens column, including the carryover: 8+3+1=128 + 3 + 1 = 12. Write 2 in the tens place and carry over 1 to the hundreds column.
  • Step 3: Add the digits in the hundreds column, including the carryover: 4+1=54 + 1 = 5. Write 5 in the hundreds place.

The calculation looks like:

489+37526 \begin{array}{c} 489 \\ +37 \\ \underline{526} \\ \end{array}

Therefore, the sum of 489 and 37 is 526\textbf{526}.

3

Final Answer

526

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up numbers by place value, ones under ones
  • Technique: Start right: 9 + 7 = 16, write 6, carry 1
  • Check: Add left to right: 500 + 26 = 526 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't just write 16 in the ones column = wrong answer 5166! This ignores place value rules and creates impossible digits. Always write the ones 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

What does 'carry over' mean in addition?

+

When adding digits gives you 10 or more, you write the ones digit in that column and carry the tens digit to the next column on the left. Like 9 + 7 = 16: write 6, carry 1.

Why do I start adding from the right side?

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You start from the ones place because any carrying affects the next column to the left. If you started left, you'd miss the carries from the right columns!

What if there's no digit to add in a column?

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Treat missing digits as zero. In 489 + 37, there's no hundreds digit in 37, so it's really 489 + 037 = 489 + 0 in the hundreds place.

How do I check if my addition is correct?

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Try adding in reverse order (37 + 489) or use subtraction: 526 - 37 should equal 489. You can also estimate: 490 + 40 ≈ 530, which is close to 526!

What if I need to carry more than 1?

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Sometimes you carry 2 or more! Like 8 + 7 = 15, so carry 1. Or 9 + 9 + 9 = 27, so carry 2. Just write the ones digit and carry whatever tens you have.

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