Solve Vertical Addition: 40 + 3 Step by Step

Q: Why do I need to align the numbers vertically?

Aligning by place value ensures you add ones to ones and tens to tens. If you don't align properly, you might accidentally add numbers from different place values together!

Q: Do I always start from the right side?

Yes, always! Start from the ones place (rightmost column) and work left. This helps you handle any carrying that might be needed in harder problems.

Q: How can I check if 43 is really correct?

Try counting up from 40: 41, 42, 43 - that's 3 steps! Or use subtraction to check: $ 43 - 40 = 3 $ ✓

Q: What if I get confused about which column to work in?

Ones place: The rightmost column (0 + 3)Tens place: The next column left (4 + 0)Always work right to left, one column at a time!

Vertical Addition with Two-Digit Numbers

$\begin{aligned} &40 \\ +& \\ &~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem together.

00:06 First, we'll add the digits in the ones place.

00:09 We'll replace the total back into the ones place.

00:14 If there's no digit, just put a zero.

00:17 Next, let's add the digits in the tens place.

00:20 And there you have it! That's the answer.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &40 \\ +& \\ &~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition of the numbers 40 and 3:

Step 1: Write the numbers vertically, aligning by place value:
$\begin{array}{c} 40 \\ + 3 \\ \hline \end{array}$
Step 2: Start adding from the rightmost column (units place).
Units column: 0 + 3 = 3, write this number directly below the line.
$\begin{array}{c} 40 \\ + 3 \\ \hline 43 \\ \end{array}$
Step 3: Move to the next column (tens place):
In the tens place: 4 + 0 = 4, write this number below the line in the tens place.

As a final result, the sum of 40 and 3 is 43.

Therefore, the solution to the problem is $43$ , which matches choice number 4 in the provided options.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Line up numbers by place value (ones, tens)
Technique: Start from rightmost column: 0 + 3 = 3
Check: Count up from 40: 41, 42, 43 matches our answer ✓

Common Mistakes

Avoid these frequent errors

Not aligning numbers by place value
Don't line up numbers by their right edge without considering place value = wrong column additions! This makes you add 4 + 3 = 7 instead of proper column addition. Always align the ones place under ones place and tens place under tens place.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &83 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

Why do I need to align the numbers vertically?

Aligning by place value ensures you add ones to ones and tens to tens. If you don't align properly, you might accidentally add numbers from different place values together!

What if one number is shorter than the other?

That's normal! In this problem, 3 is really 03, so the tens place has 0 + 4 = 4. Think of shorter numbers as having invisible zeros in the higher place values.

Do I always start from the right side?

Yes, always! Start from the ones place (rightmost column) and work left. This helps you handle any carrying that might be needed in harder problems.

How can I check if 43 is really correct?

Try counting up from 40: 41, 42, 43 - that's 3 steps! Or use subtraction to check: $43 - 40 = 3$ ✓

What if I get confused about which column to work in?

Ones place: The rightmost column (0 + 3)
Tens place: The next column left (4 + 0)
Always work right to left, one column at a time!

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