Solve Vertical Addition: 24 + 4 Step-by-Step

Q: Why do I need to line up the numbers vertically?

Vertical alignment ensures you're adding the correct place values together! Units go with units, tens with tens. This prevents mixing up columns and getting wrong answers.

Q: What if one number has fewer digits than the other?

That's normal! Just align from the right side (units column). The shorter number (like 4) goes under the units digit of the longer number (24).

Q: Do I always start adding from the right?

Yes! Always start with the rightmost column (units), then move left to tens, hundreds, and so on. This matches how we think about place value.

Q: How can I double-check my vertical addition?

Try these methods: Add the numbers in your head: $ 24 + 4 = 28 $Count up from the larger number: 24, 25, 26, 27, 28Use the commutative property: $ 4 + 24 = 28 $

Vertical Addition with Two-Digit Numbers

$\begin{aligned} &24 \\ +& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 we calculate the sum of 2 digits, and then we substitute

00:07 We'll start by adding ones with ones, and substitute the solution

00:10 We'll put 0 where there is no number

00:13 We'll add tens with tens, and substitute the solution

00:16 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

$\begin{aligned} &24 \\ +& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll add the numbers 24 and 4 using vertical addition:

Step 1: Align the numbers vertically with the units and tens digits properly aligned:

\begin{aligned} &24 \\ +& \\ &~~4 \\ \end{aligned}

Step 2: Add from the rightmost column (units position):
The units digits are 4 and 4. Their sum is $4 + 4 = 8$ .
Step 3: Move to the next column (tens position):
In this case, the tens digit of the first number is 2, and there is no tens digit in the number 4. Since there is no carry, we simply bring down the 2.

The sum of the numbers is 28, which is represented as:

$\begin{aligned} &28 \end{aligned}$

Therefore, the correct answer is 28, which corresponds to choice .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers with units and tens columns properly lined up
Technique: Add rightmost column first: 4 + 4 = 8 in units place
Check: Verify by counting up from 24: 25, 26, 27, 28 ✓

Common Mistakes

Avoid these frequent errors

Misaligning digits in vertical format
Don't write 4 under the 2 in 24 = wrong column placement! This puts 4 in the tens place instead of units, leading to incorrect addition like 24 + 40 = 64. Always align the rightmost digits (units) directly under each other.

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 line up the numbers vertically?

Vertical alignment ensures you're adding the correct place values together! Units go with units, tens with tens. This prevents mixing up columns and getting wrong answers.

What if one number has fewer digits than the other?

That's normal! Just align from the right side (units column). The shorter number (like 4) goes under the units digit of the longer number (24).

Do I always start adding from the right?

Yes! Always start with the rightmost column (units), then move left to tens, hundreds, and so on. This matches how we think about place value.

How can I double-check my vertical addition?

Try these methods:

Add the numbers in your head: $24 + 4 = 28$
Count up from the larger number: 24, 25, 26, 27, 28
Use the commutative property: $4 + 24 = 28$

What if I get confused about which column is which?

Label the columns! Write 'T' for tens and 'U' for units above your problem. This helps you remember: Tens column has the bigger place value, units column has the smaller.

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