Calculate the Sum: Finding 47 + 25 in Vertical Format

Q: What does 'carrying over' mean in addition?

When you add digits and get a number 10 or greater, you write the ones digit in that column and carry the tens digit to the next column. Think of it as regrouping - 12 ones becomes 1 ten and 2 ones!

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

We start from the ones column (rightmost) because any carrying affects the next column to the left. If you start from the left, you might miss carries and get the wrong answer!

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

Your answer will be 10 less than the correct sum! In this problem, forgetting the carried 1 would give you 62 instead of 72. Always remember: carried digits count too!

Q: How can I check my vertical addition is correct?

Try these methods: Count up from the larger numberAdd horizontally: $47 + 25$Subtract backward: $72 - 25 = 47$ ✓

Q: Is there a pattern when I need to carry?

Yes! You carry whenever the sum of digits in any column is 10 or more. Look for digit pairs like 7+5, 8+6, or 9+anything to spot carrying situations quickly!

Vertical Addition with Two-Digit Carrying

$\begin{aligned} &47 \\ +& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 We're solving a math problem today!

00:07 Each step, add two digits together, and substitute their sum.

00:11 Let's begin by adding the ones place with the ones place.

00:15 Write down the ones digit, and carry over one to the top.

00:19 Now, add the tens place with the tens place. Don't forget to add the one we carried over.

00:25 Write down the result in the tens place.

00:28 And that's how you solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &47 \\ +& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this vertical addition problem, we follow these steps:

Step 1: Write the numbers one below the other, aligning columns by place value.
Step 2: Begin with the ones column. Add $7$ (from $47$ ) to $5$ (from $25$ ).
Step 3: Calculate the sum in the ones column: $7 + 5 = 12$ .
Step 4: Since $12$ is greater than $9$ , we write $2$ in the ones place and carry over $1$ to the tens column.
Step 5: Add the tens column: $4$ from $47$ , $2$ from $25$ , and the carried over $1$ .
Step 6: Calculate the tens sum: $4 + 2 + 1 = 7$ .

Therefore, the final sum is $72$ .

By checking the provided choices, the correct choice is: $72$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Place Value: Align digits by columns to add correctly
Technique: Start ones column: $7 + 5 = 12$ , write 2 carry 1
Check: Count up from 47: 48, 49, 50... to 72 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 12 in the ones place when adding 7 + 5 = wrong answer like 4712! This ignores place value rules. Always write the ones digit (2) and carry the tens digit (1) 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 over' mean in addition?

When you add digits and get a number 10 or greater, you write the ones digit in that column and carry the tens digit to the next column. Think of it as regrouping - 12 ones becomes 1 ten and 2 ones!

Why do I start adding from the right side?

We start from the ones column (rightmost) because any carrying affects the next column to the left. If you start from the left, you might miss carries and get the wrong answer!

What if I forget to add the carried number?

Your answer will be 10 less than the correct sum! In this problem, forgetting the carried 1 would give you 62 instead of 72. Always remember: carried digits count too!

How can I check my vertical addition is correct?

Try these methods:

Count up from the larger number
Add horizontally: $47 + 25$
Subtract backward: $72 - 25 = 47$ ✓

Is there a pattern when I need to carry?

Yes! You carry whenever the sum of digits in any column is 10 or more. Look for digit pairs like 7+5, 8+6, or 9+anything to spot carrying situations quickly!

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