Solve Addition Problem: 48 + 8695

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

Lining up by place value ensures you're adding units to units, tens to tens, etc. If numbers aren't aligned properly, you'll add digits from different place values together and get the wrong answer!

Q: What does 'carry over' mean exactly?

When adding digits gives you 10 or more, you write down the ones digit and carry the tens digit to the next column. For example: 8 + 5 = 13, so write 3 and carry the 1.

Q: How do I handle carrying through multiple columns?

Work one column at a time from right to left. Always add the carried digit to your column sum before deciding if you need to carry again. Take your time with each step!

Q: What if there's no digit in a place value?

Treat missing digits as zero. In this problem, 48 becomes 0048 when aligned with 8695, so you add 4 + 0 = 4 in the hundreds place.

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

Try adding in reverse order (8695 + 48 instead of 48 + 8695) or use a different method like breaking numbers into parts. Both should give you the same answer: $ 8743 $.

Column Addition with Multi-Digit Carrying

$48+8695=\text{ ?}$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$48+8695=\text{ ?}$

Step-by-step solution

To solve this problem, we'll add $48$ and $8695$ by following these steps:

Step 1: Align the numbers by their place values:

8695

+ 48

------

Step 2: Start adding from the rightmost column:
- Units place: $8 + 5 = 13$ . Write down $3$ , carry over $1$ .
- Tens place: $4 + 9 = 13$ . Add the carried over $1$ to get $14$ . Write down $4$ , carry over $1$ .
- Hundreds place: $6 + 0 = 6$ . Add the carried over $1$ to get $7$ . No carry over is needed.
- Thousands place: $8 + 0 = 8$ .
Step 3: Write out the complete sum:
- 8743

Therefore, the sum of $48$ and $8695$ is $\boxed{8743}$ .

The correct answer choice is choice $3$ : $8743$ .

Final Answer

$8743$

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value before adding
Carrying: When sum exceeds 9, write ones digit and carry tens
Verification: Check by adding in reverse order: 8695 + 48 = 8743 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to add carried digits to the next column
Don't just write down the carried digit without adding it = missing part of the sum! This creates errors that compound through remaining columns. Always add the carried digit to the next column's sum before writing the result.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do I need to line up the numbers by place value?

Lining up by place value ensures you're adding units to units, tens to tens, etc. If numbers aren't aligned properly, you'll add digits from different place values together and get the wrong answer!

What does 'carry over' mean exactly?

When adding digits gives you 10 or more, you write down the ones digit and carry the tens digit to the next column. For example: 8 + 5 = 13, so write 3 and carry the 1.

How do I handle carrying through multiple columns?

Work one column at a time from right to left. Always add the carried digit to your column sum before deciding if you need to carry again. Take your time with each step!

What if there's no digit in a place value?

Treat missing digits as zero. In this problem, 48 becomes 0048 when aligned with 8695, so you add 4 + 0 = 4 in the hundreds place.

How can I check if my addition is correct?

Try adding in reverse order (8695 + 48 instead of 48 + 8695) or use a different method like breaking numbers into parts. Both should give you the same answer: $8743$ .

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