Calculate the Sum: 847 Plus 77 in Vertical Format

Vertical Addition with Carrying Regrouping

847+  77776 \begin{aligned} &847 \\ +& \\ &~~77 \\ &\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 step by step.
00:07 First, combine two digits at a time. Ready?
00:11 Start by adding the ones digits together.
00:15 Place the result in the ones place. Remember to carry 1 to the tens.
00:21 Now add the tens digits. Don't forget to add that 1.
00:27 Put the result in the tens place. Carry 1 more to the hundreds.
00:34 Make sure 0 is in any missing places.
00:38 Finally, add the hundreds digits. Add that 1. Place in hundreds.
00:43 Great job! That's how we solve the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

847+  77776 \begin{aligned} &847 \\ +& \\ &~~77 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Set up the addition problem vertically, aligning the numbers by their place values.
  • Step 2: Add the digits column by column, starting from the rightmost position (units place).
  • Step 3: If the sum in any column is 10 or more, carry over to the next column.

Now, let's work through each step:

Given numbers are:

847+77 \begin{aligned} & 847 \\ + & \phantom{} 77 \\ \end{aligned}

Step 1: Start with the units place.

7+7=147 + 7 = 14. Write down 4 in the units place, and carry over 1 to the tens place.

Step 2: Move to the tens place.

4+7=114 + 7 = 11, plus the carried over 1 makes it 12. Write down 2 in the tens place, and carry over 1 to the hundreds place.

Step 3: Finally, add the hundreds place.

8+0=88 + 0 = 8, plus the 1 carried over makes it 9. Write down 9 in the hundreds place.

The sum is:

847+77924 \begin{aligned} & 847 \\ + & \phantom{} 77 \\ \hline & 924 \\ \end{aligned}

Therefore, the solution to the problem is 924 924 .

3

Final Answer

924

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up digits by place value before adding
  • Technique: Start from units: 7 + 7 = 14, write 4, carry 1
  • Check: Verify by adding horizontally: 847 + 77 = 924 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry regrouped digits
    Don't write down 14 in the units column or ignore carried digits = wrong sums like 1424 or 814! This happens when you forget regrouping rules. Always write the ones digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'carry' mean in addition?

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When two digits add up to 10 or more, you write down the ones digit and carry the tens digit to the next column. Like 7 + 7 = 14: write 4, carry the 1!

Why do I need to align the numbers vertically?

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Place value alignment is crucial! Units must line up under units, tens under tens, etc. This ensures you're adding the correct digit values together.

What if one number has fewer digits?

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That's normal! In 847 + 77, there's no hundreds digit in 77, so treat it as 0. This gives us 8 + 0 = 8 in the hundreds place.

How do I know when to carry?

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Carry whenever the sum of digits in a column is 10 or greater. Write the ones digit, carry the tens digit to the left column.

Can I add from left to right instead?

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It's possible but much harder! Right to left (starting with units) makes carrying easier and reduces mistakes. Stick with the standard method!

How can I check if my answer is correct?

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Try these methods:

  • Add horizontally: 847 + 77 = 924
  • Subtract: 924 - 77 should equal 847
  • Estimate: 850 + 80 ≈ 930, close to 924 ✓

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