Solve Vertical Addition: 25 + 6 Step-by-Step

Vertical Addition with Carrying Over

25+  6776 \begin{aligned} &25 \\ +& \\ &~~6 \\ &\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.
00:08 First, think about combining two digits at a time.
00:11 Let's begin by adding the ones place together.
00:15 Once done, add the tens place next.
00:18 Don't forget, carry over any extra one.
00:22 If there's an empty spot, place a zero.
00:25 Now, add the tens place again and remember to include the carried one.
00:30 Put your answer in the tens place.
00:33 And that's how we find the solution to the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

25+  6776 \begin{aligned} &25 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, let's calculate the sum of the numbers 25 and 6 using vertical addition:

Step 1: Align the numbers in vertical format.
The tens and ones are aligned as follows:

  • Tens place: 22

  • Ones place: 55

  • ++ 66 (ones place)

  • 52\underline{\phantom{52}}

Step 2: Add the digits in the ones place.
(5+6=11)(5 + 6 = 11). Since the sum exceeds 9, write down 11 in the ones place and carry over 11 to the tens place.

Step 3: Add the digits in the tens place, considering the carryover.
(2+1=3)(2 + 1 = 3).

Thus, the complete sum is 3131.

Therefore, the sum of 25 and 6 is 31\mathbf{31}, making choice 2 the correct one.

3

Final Answer

31

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value (ones under ones, tens under tens)
  • Technique: Add ones first: 5 + 6 = 11, write 1 and carry 1
  • Check: Final answer 31 verified by horizontal addition: 25 + 6 = 31 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't write 11 in the ones place = messy answer that's not a proper number! When ones place sum is 10 or more, you must write only the ones digit and carry the tens digit. Always carry over the extra digit to the next place value.

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?

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When adding digits gives a sum of 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. Think of it as regrouping - 11 ones becomes 1 ten and 1 one!

Why can't I just write 11 in the ones place?

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Each place value can only hold one digit (0-9). Writing 11 in one place creates confusion and isn't proper mathematical notation. Always separate into proper place values.

How do I remember which direction to carry?

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Always carry to the left - from ones to tens, tens to hundreds, etc. The carried digit represents the next higher place value.

What if I need to carry multiple times?

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No problem! Just work step by step from right to left. Carry each time a column sum reaches 10 or more. Take your time with each column.

Can I check my answer a different way?

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Yes! Try horizontal addition: 25+6=3125 + 6 = 31. You can also use subtraction: 3125=631 - 25 = 6 or 316=2531 - 6 = 25.

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