Addition Problem: Solve 92 + 5 in Vertical Format

Q: Why do I need to align the numbers in columns?

Place value alignment ensures you're adding ones to ones and tens to tens. Without proper alignment, you'll add the wrong digits together and get an incorrect sum.

Q: What do I do when one number has fewer digits?

Place the shorter number so its rightmost digit aligns with the rightmost digit of the longer number. The 5 goes under the 2, not under the 9!

Q: Do I always start adding from the right?

Yes! Always start with the ones column (rightmost) and work your way left. This follows the natural flow of place value and prevents errors.

Q: How can I check my vertical addition answer?

Try these methods: Count up: Start at 92 and count 5 moreReverse operation: Subtract 5 from your answer to get 92Mental math: $90 + 5 = 95$, then add the remaining 2

Q: What if there's nothing in a column for one number?

Think of it as zero in that place. For example, 5 is really 05, so the tens place has 0. You're adding $9 + 0 = 9$ in the tens column.

Vertical Addition with Two-Digit Numbers

$\begin{aligned} &92 \\ +& \\ &~~5\\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this math problem.

00:06 First, add the two digits together, step by step.

00:10 Start by adding the ones place numbers.

00:13 If there's no digit, just use zero.

00:17 Then, add the tens place numbers.

00:20 And that's how you find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &92 \\ +& \\ &~~5\\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

We will perform vertical addition to find the sum of $92$ and $5$ .

Step 1: Align the numbers by place value:

$\begin{array}{c} 92 \\ +\,\,\,5 \\ \underline{\phantom{776}} \end{array}$

Step 2: Add the rightmost column (units):

$2 + 5 = 7$ . Write down $7$ under the units column.

Step 3: Add the leftmost column (tens):

The tens digit of $92$ is $9$ . As there are no tens in $5$ , simply bring down $9$ .

Step 4: Combine:

Thus, writing the results from both columns, we have $97$ .

Therefore, the sum of $92$ and $5$ is $97$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value columns (ones under ones)
Technique: Add rightmost column first: $2 + 5 = 7$
Check: Count up from 92: 93, 94, 95, 96, 97 ✓

Common Mistakes

Avoid these frequent errors

Not aligning numbers by place value
Don't write 5 under the 9 in the tens place = wrong column alignment! This makes you add 90 + 50 instead of 92 + 5, giving 142 instead of 97. Always align the rightmost digits (ones place) first.

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 align the numbers in columns?

Place value alignment ensures you're adding ones to ones and tens to tens. Without proper alignment, you'll add the wrong digits together and get an incorrect sum.

What do I do when one number has fewer digits?

Place the shorter number so its rightmost digit aligns with the rightmost digit of the longer number. The 5 goes under the 2, not under the 9!

Do I always start adding from the right?

Yes! Always start with the ones column (rightmost) and work your way left. This follows the natural flow of place value and prevents errors.

How can I check my vertical addition answer?

Try these methods:

Count up: Start at 92 and count 5 more
Reverse operation: Subtract 5 from your answer to get 92
Mental math: $90 + 5 = 95$ , then add the remaining 2

What if there's nothing in a column for one number?

Think of it as zero in that place. For example, 5 is really 05, so the tens place has 0. You're adding $9 + 0 = 9$ in the tens column.

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