Solve Vertical Addition: 26 + 74 Step-by-Step

Q: Why do I need to carry the 1 when 6 + 4 = 10?

Because 10 has two digits! In the ones place, you can only write single digits (0-9). The 1 represents 10, so it belongs in the tens column.

Q: Can I add from left to right instead?

It's much harder! Adding from right to left (ones first) handles carrying naturally. Left to right requires mental math skills that make errors more likely.

Q: How do I know if my carrying is correct?

Use horizontal addition to check: $26 + 74 = 100$. If your vertical method gives the same answer, your carrying was done correctly!

Vertical Addition with Carrying Process

$\begin{aligned} &26 \\ +& \\ &74 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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, try to combine two digits each time. It helps.

00:12 Start by adding the ones place. One plus one.

00:17 Write that down. Carry over one if needed.

00:20 Next, add the tens place. Don't forget to include the one you carried over.

00:25 Place the tens and carry over any extra to the hundreds.

00:30 Fill any missing digits with zero, just to keep it clear.

00:35 Finally, add the hundreds and place it correctly.

00:38 And that's how we find the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &26 \\ +& \\ &74 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll use vertical addition as follows:

Step 1: Arrange the numbers vertically with the place values aligned.

   $26$ 
+  $74$ 
 $\underline{\phantom{776}}$

Step 2: Add the numbers starting from the ones column:
- Add the ones place: $6 + 4 = 10$ . Write down $0$ and carry over $1$ to the tens column.

   $26$ 
+  $74$ 
 $\underline{\phantom{776}}$ 
   $00$

Step 3: Move to the tens column: Add $2 + 7 = 9$ , then add the carried over $1$ to get $10$ .
- Write down $10$ .

      $26$ 
  +  $74$ 
   $\underline{\phantom{6707}}$ 
   $100$

Therefore, the sum of $26$ and $74$ is $100$ .

The correct answer amongst the choices provided is :

100

Therefore, the solution to the problem is $100$ .

Final Answer

100

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up place values before adding columns together
Technique: Start from ones place: $6 + 4 = 10$ , write 0 carry 1
Check: Verify by adding horizontally: $26 + 74 = 100$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't just write 10 in the ones column = wrong place value! This creates answers like 1000 instead of 100. Always carry the tens digit to the next column and write only the ones digit.

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 carry the 1 when 6 + 4 = 10?

Because 10 has two digits! In the ones place, you can only write single digits (0-9). The 1 represents 10, so it belongs in the tens column.

What if I forget to add the carried number?

You'll get the wrong answer! In this problem, forgetting the carried 1 would give you 90 instead of 100. Always remember to add carried digits to the next column.

Can I add from left to right instead?

It's much harder! Adding from right to left (ones first) handles carrying naturally. Left to right requires mental math skills that make errors more likely.

How do I know if my carrying is correct?

Use horizontal addition to check: $26 + 74 = 100$ . If your vertical method gives the same answer, your carrying was done correctly!

What happens if I need to carry multiple times?

Just carry one column at a time, moving left. Each carried digit gets added to the sum of that column before you determine what to carry next.

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