Solve Vertical Addition: 48 + 22 Step-by-Step

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

Place value alignment is crucial! When numbers are lined up correctly, you add ones to ones and tens to tens. This prevents mixing up different place values.

Q: What does 'carry the 1' actually mean?

When the ones column adds up to 10 or more, you write the ones digit below the line and move the tens digit to the tens column. It's like exchanging 10 ones for 1 ten!

Q: Can I add from left to right instead?

It's better to add from right to left (ones first, then tens). This way, you handle any carrying in the correct order and avoid confusion.

Q: How do I know if I carried correctly?

Check your work! The ones column should show 8 + 2 = 10, so you write 0 and carry 1. The tens column should show 4 + 2 + 1 = 7.

Vertical Addition with Two-Digit Numbers

$\begin{aligned} &48 \\ +& \\ &22 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

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

00:09 We'll place the ones, and remember 1 above

00:12 We'll add tens with tens, remember to add 1 to the calculation

00:19 We'll place in the tens

00:22 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

$\begin{aligned} &48 \\ +& \\ &22 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

The given problem involves adding the numbers 48 and 22 using vertical addition. Let's solve it step-by-step:

Step 1: Align the numbers vertically, with each digit placed under the correct column (units or tens).
Step 2: Add the digits in the units column:
8 (from 48) + 2 (from 22) = 10. Write down 0 (in the units column) and carry over 1 to the tens column.
Step 3: Add the digits in the tens column:
4 (from 48) + 2 (from 22) + 1 (carry from units column) = 7. Write 7 in the tens column.

The result of the addition is 70.

Therefore, the solution to the problem is $70$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Place ones under ones and tens under tens
Technique: Start with ones column: 8 + 2 = 10 (carry the 1)
Check: Add horizontally: 48 + 22 = 70 to verify your answer ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry the 1 when adding ones column
Don't write 10 in the ones place = incorrect answer 100! When ones column sum is 10 or more, you must write the ones digit and carry the tens digit. Always carry the 1 to the tens column and add it there.

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 line up the numbers vertically?

Place value alignment is crucial! When numbers are lined up correctly, you add ones to ones and tens to tens. This prevents mixing up different place values.

What does 'carry the 1' actually mean?

When the ones column adds up to 10 or more, you write the ones digit below the line and move the tens digit to the tens column. It's like exchanging 10 ones for 1 ten!

Can I add from left to right instead?

It's better to add from right to left (ones first, then tens). This way, you handle any carrying in the correct order and avoid confusion.

How do I know if I carried correctly?

Check your work! The ones column should show 8 + 2 = 10, so you write 0 and carry 1. The tens column should show 4 + 2 + 1 = 7.

What if there's no carrying needed?

Even simpler! Just add straight down each column. But always double-check by adding the original numbers horizontally: 48 + 22 = 70.

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