Calculate the Sum: 472 + 2560 Addition Problem

Q: What does 'carrying' mean in addition?

Carrying means when a column adds up to 10 or more, you write the ones digit and move the tens digit to the next column. For example, 6+7=13, so write 3 and carry the 1.

Q: Why do I need to align the numbers by place value?

Aligning ensures you're adding units to units, tens to tens, etc. If numbers aren't aligned properly, you'll add the wrong place values together and get an incorrect answer.

Q: How do I know which column to start adding from?

Always start from the rightmost column (ones/units place) and work your way left. This allows you to carry properly from smaller to larger place values.

Q: What if there's no number in a column?

Treat empty spaces as zero. In this problem, 472 has no thousands digit, so it's like adding 0+2 in the thousands column.

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

Use subtraction to verify: take your answer and subtract one of the original numbers. You should get the other original number. For example: $ 3032 - 472 = 2560 $ ✓

Q: Why did I get a different answer when I didn't carry?

Without carrying, you're essentially writing impossible digits in place value columns. Each column can only hold digits 0-9, so any sum of 10 or more must be split between columns.

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Choose the correct answer:

$472+2560=$

2

Step-by-step solution

To solve this problem, we will perform the addition of two numbers, 472 and 2560, using a step-by-step approach to ensure clarity and accuracy:

Step 1: Align the Numbers
Write the numbers one on top of the other, aligning them by their place values (units, tens, hundreds, and thousands).

\begin{array}{cccc} & 2 & 5 & 6 & 0 \\ + & & 4 & 7 & 2 \\ \end{array}

Step 2: Add the Units Column
In the units column, $0 + 2 = 2$ .
Step 3: Add the Tens Column
In the tens column, $6 + 7 = 13$ . Write 3 in the tens place and carry over 1 to the next column.
Step 4: Add the Hundreds Column
In the hundreds column, $5 + 4 = 9$ , plus the carried-over 1 gives $10$ . Write 0 in the hundreds place and carry over 1 to the next column.
Step 5: Add the Thousands Column
In the thousands column, $2 + 0 = 2$ , plus the carried-over 1 gives $3$ .

Thus, writing the final result with all place values considered, we have:

\begin{array}{cccc} & & 3 & 0 & 3 & 2 \\ \end{array}

The final sum of 472 and 2560 is $\boxed{3032}$ .

3

Final Answer

$3032$

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value columns
Technique: Add column by column: 6+7=13, write 3 carry 1
Check: Verify 472+2560=3032 by adding backwards: 3032-472=2560 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 13 in the tens column when 6+7=13! This creates impossible multi-digit answers in single columns. Always write the units digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

What does 'carrying' mean in addition?

+

Carrying means when a column adds up to 10 or more, you write the ones digit and move the tens digit to the next column. For example, 6+7=13, so write 3 and carry the 1.

Why do I need to align the numbers by place value?

+

Aligning ensures you're adding units to units, tens to tens, etc. If numbers aren't aligned properly, you'll add the wrong place values together and get an incorrect answer.

How do I know which column to start adding from?

+

Always start from the rightmost column (ones/units place) and work your way left. This allows you to carry properly from smaller to larger place values.

What if there's no number in a column?

+

Treat empty spaces as zero. In this problem, 472 has no thousands digit, so it's like adding 0+2 in the thousands column.

How can I check if my addition is correct?

+

Use subtraction to verify: take your answer and subtract one of the original numbers. You should get the other original number. For example: $3032 - 472 = 2560$ ✓

Why did I get a different answer when I didn't carry?

+

Without carrying, you're essentially writing impossible digits in place value columns. Each column can only hold digits 0-9, so any sum of 10 or more must be split between columns.

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Calculate the Sum: 472 + 2560 Addition Problem

Multi-digit Addition with Carrying

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