Calculate the Sum: 7351 + 2499 Addition Problem

Q: What does 'carrying over' actually mean?

When two digits add up to 10 or more, you write down the units digit and 'carry' the tens digit to the next column. For example: $ 1 + 9 = 10 $ means write 0 and carry the 1.

Q: Why do I start adding from the right side?

We start from the units place because any carrying affects the next column to the left. If you started from the left, you'd have to keep changing your answers as you carry!

Q: What if I forget to add the carried number?

Your answer will be too small! Always remember to add the carried digit to your column sum. In this problem, forgetting the carry would give you 9750 instead of 9850.

Q: How can I check my addition without a calculator?

Try reverse addition: Start with your answer 9850 and subtract one of the original numbers. $ 9850 - 2499 = 7351 $ ✓ This confirms your sum is correct!

Q: Is there a pattern to carrying in addition?

Yes! You carry when the sum is 10 or greater. The carry is always the tens digit: 10→carry 1, 15→carry 1, 18→carry 1. The units digit stays in that column.

Multi-Digit Addition with Carrying

$\begin{aligned} &7351 \\ +& \\ &2499 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 joining 2 digits, and then place

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

00:09 Place the ones, add 1 to the tens

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

00:17 Place tens in tens, add 1 to hundreds

00:21 Combine hundreds with hundreds, remember to add 1

00:27 Place hundreds in hundreds

00:31 Combine thousands with thousands, place in thousands

00:35 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

$\begin{aligned} &7351 \\ +& \\ &2499 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve the problem of finding the sum of 7351 and 2499, we will proceed with vertical addition. Here are the steps:

Align the numbers with their rightmost digits: $\begin{array}{c} \phantom{0}7351 \\ +2499 \\ \underline{\phantom{0000}} \end{array}$
Begin adding from the rightmost column (units):
- Units column: $1 + 9 = 10$ . Write 0, carry over 1.
Next, move to the tens column:
- Tens column: $5 + 9 = 14$ , plus the carry of 1 gives $15$ . Write 5, carry over 1.
Proceed to the hundreds column:
- Hundreds column: $3 + 4 = 7$ , plus the carry of 1 gives $8$ . Write 8.
Finally, add the thousands column:
- Thousands column: $7 + 2 = 9$ . Write 9.

After completing these steps, the final sum is written as:

\begin{array}{c} \phantom{0}7351 \\ +2499 \\ \underline{\phantom{0000}} \\ \phantom{0}9850 \\ \end{array}

Therefore, the solution to the problem is $9850$ .

Final Answer

9850

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value before adding
Technique: Start from right: 1+9=10, write 0 carry 1
Check: Add columns left to right: 9+8+5+0 = 9850 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't just write down two-digit sums like 15 in one column = wrong place values! This creates numbers that are too large. Always write the units 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 'carrying over' actually mean?

When two digits add up to 10 or more, you write down the units digit and 'carry' the tens digit to the next column. For example: $1 + 9 = 10$ means write 0 and carry the 1.

Why do I start adding from the right side?

We start from the units place because any carrying affects the next column to the left. If you started from the left, you'd have to keep changing your answers as you carry!

What if I forget to add the carried number?

Your answer will be too small! Always remember to add the carried digit to your column sum. In this problem, forgetting the carry would give you 9750 instead of 9850.

How can I check my addition without a calculator?

Try reverse addition: Start with your answer 9850 and subtract one of the original numbers. $9850 - 2499 = 7351$ ✓ This confirms your sum is correct!

Is there a pattern to carrying in addition?

Yes! You carry when the sum is 10 or greater. The carry is always the tens digit: 10→carry 1, 15→carry 1, 18→carry 1. The units digit stays in that column.

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