Solve Vertical Addition: 99 + 25 Step-by-Step

Q: What does 'carry over' mean when adding?

When two digits add up to 10 or more, you write down the ones digit and carry the tens digit to the next column. For example, $9 + 5 = 14$ means write 4 and carry 1.

Q: Why can't I just write 14 in the ones place?

Each place can only hold one digit! Writing 14 would mean you have 14 ones instead of 1 ten and 4 ones. This breaks place value rules and gives wrong answers.

Q: How do I remember to add the carried number?

Write the carried number small and above the next column as a reminder. Then add it with the other digits in that column: $9 + 2 + 1 = 12$.

Q: What if I get another carryover in the tens place?

Keep carrying left! In this problem, $9 + 2 + 1 = 12$ gives us 2 in tens place and 1 in hundreds place, making 124.

Q: Can I add from left to right instead?

It's possible but much harder because you'd need to adjust for carryovers later. Always start from the right (ones place) and work left for vertical addition.

Q: How can I check if my answer is correct?

Add the numbers horizontally: $99 + 25 = 124$. You can also subtract: $124 - 99 = 25$ or $124 - 25 = 99$ ✓

Vertical Addition with Two-Digit Carryover

$\begin{aligned} &99 \\ +& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider combining 2 digits, and then place

00:06 Let's start by combining ones with ones

00:09 Place the ones, and remember 1 to carry up

00:12 Combine tens with tens, remember to add 1 to the calculation

00:19 Place the tens in the tens place, and carry 1 to hundreds

00:23 Place 0 in the missing digits

00:29 Combine hundreds with hundreds, and place in the appropriate position

00:32 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &99 \\ +& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition for the numbers 99 and 25:

Step 1: Add the ones place digits:
The ones digit of 99 is 9, and the ones digit of 25 is 5. Adding these together: $9 + 5 = 14$ . We write down 4 and carry over the 1.
Step 2: Add the tens place digits, including the carryover:
The tens digit of 99 is 9, and the tens digit of 25 is 2. With the 1 carried over, we compute: $9 + 2 + 1 = 12$ . Since there's no place to the left of tens for a third digit in this case, the whole number 12 is written in the tens and hundreds place.

Combining these, the sum is put together as 124.

Therefore, the solution to the problem is $124$ .

Final Answer

124

Key Points to Remember

Essential concepts to master this topic

Rule: Start with ones place, then move to tens place
Technique: When $9 + 5 = 14$ , write 4 and carry 1
Check: Verify $99 + 25 = 124$ by adding horizontally ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over from ones to tens place
Don't just write 14 in the ones place = wrong answer 914! When digits add to 10 or more, you must carry the extra digit to the next column. Always write the ones digit and carry the tens digit left.

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 when adding?

When two digits add up to 10 or more, you write down the ones digit and carry the tens digit to the next column. For example, $9 + 5 = 14$ means write 4 and carry 1.

Why can't I just write 14 in the ones place?

Each place can only hold one digit! Writing 14 would mean you have 14 ones instead of 1 ten and 4 ones. This breaks place value rules and gives wrong answers.

How do I remember to add the carried number?

Write the carried number small and above the next column as a reminder. Then add it with the other digits in that column: $9 + 2 + 1 = 12$ .

What if I get another carryover in the tens place?

Keep carrying left! In this problem, $9 + 2 + 1 = 12$ gives us 2 in tens place and 1 in hundreds place, making 124.

Can I add from left to right instead?

It's possible but much harder because you'd need to adjust for carryovers later. Always start from the right (ones place) and work left for vertical addition.

How can I check if my answer is correct?

Add the numbers horizontally: $99 + 25 = 124$ . You can also subtract: $124 - 99 = 25$ or $124 - 25 = 99$ ✓

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