Solve Three-Digit Addition: 543 + 457 in Vertical Format

Q: What does 'carrying' mean in addition?

When you add digits and get 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, $ 7 + 5 = 12 $ means write 2 and carry 1!

Q: Why can't I just write 10 in the column instead of carrying?

Each column can only hold one digit! Writing 10 in a column mixes up place values. The 1 represents tens and belongs in the tens column, while the 0 stays in the ones column.

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

Write the small carry number above the next column as a reminder. When adding that column, include the carry number: $ 4 + 5 + 1 = 10 $ (where 1 is the carry).

Q: Can I check my answer without doing the problem again?

Yes! Try estimation: $ 543 \approx 550 $ and $ 457 \approx 450 $, so $ 550 + 450 = 1000 $. This confirms our exact answer!

Multi-Digit Addition with Column Carrying

$\begin{aligned} &543\\ +& \\ &457 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 multiplying ones with ones

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

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

00:20 Place tens in tens, add 1 to hundreds

00:23 Multiply hundreds with hundreds, remember to add 1

00:29 Place hundreds in hundreds, and add 1 to thousands

00:33 Place 0 in the missing digits

00:36 Multiply thousands with thousands, remember to add 1

00:39 Place in thousands

00:42 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

$\begin{aligned} &543\\ +& \\ &457 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll follow these steps:

Add the digits in the units place (rightmost).
Add the digits in the tens place, including any carry from the units place.
Add the digits in the hundreds place, including any carry from the tens place.

Let's work through the addition step-by-step:

Step 1: Add the Units Place
The units digits are 3 and 7. Adding these gives $3 + 7 = 10$ .
Write 0 in the units place of the answer and carry over the 1 to the tens column.

Step 2: Add the Tens Place
The tens digits are 4 and 5, plus the carryover 1. Adding these gives $4 + 5 + 1 = 10$ .
Write 0 in the tens place of the answer and carry over the 1 to the hundreds column.

Step 3: Add the Hundreds Place
The hundreds digits are 5 and 4, plus the carryover 1. Adding these gives $5 + 4 + 1 = 10$ .
This gives us 10 in the hundreds and thousands places.

Therefore, the solution to the problem is $1000$ .

Final Answer

1000

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value columns for accurate addition
Technique: When sum exceeds 9, write units digit and carry tens: $3 + 7 = 10$ → write 0, carry 1
Check: Verify by adding in reverse order: $457 + 543 = 1000$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when column sum equals or exceeds 10
Don't write 10 in a single column = wrong place values! This creates numbers like 54310 instead of 1000. Always write the units digit and carry the tens digit to the next column.

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 'carrying' mean in addition?

When you add digits and get 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, $7 + 5 = 12$ means write 2 and carry 1!

Why can't I just write 10 in the column instead of carrying?

Each column can only hold one digit! Writing 10 in a column mixes up place values. The 1 represents tens and belongs in the tens column, while the 0 stays in the ones column.

How do I remember to add the carried number?

Write the small carry number above the next column as a reminder. When adding that column, include the carry number: $4 + 5 + 1 = 10$ (where 1 is the carry).

What if I get multiple carries in a row?

That's normal! Just handle each carry one column at a time. In this problem, we carried from ones to tens, then from tens to hundreds, creating our final answer of 1000.

Can I check my answer without doing the problem again?

Yes! Try estimation: $543 \approx 550$ and $457 \approx 450$ , so $550 + 450 = 1000$ . This confirms our exact answer!

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