Solve Addition Problem: 11,710 + 30,120

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

Lining up numbers by place value ensures you're adding the right digits together! Units go with units, tens with tens, and so on. This prevents mixing up place values.

Q: How do I know if I need to carry over?

You need to carry when any column adds up to 10 or more. In this problem, no column exceeds 9, so no carrying is needed!

Q: Should I add from left to right or right to left?

Always add from right to left (units to ten-thousands). This way, if you need to carry over, you're moving in the correct direction.

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

Try adding the numbers in reverse order: $ 30,120 + 11,710 $. You should get the same answer! You can also estimate: both numbers are around 40,000 total.

Multi-Digit Addition with Place Value Alignment

Complete the following equation:

$11,710+30,120=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following equation:

$11,710+30,120=$

Step-by-step solution

Let's begin by adding the numbers $11,710$ and $30,120$ :

Align the numbers by place value:

$11,710$
$+30,120$

Proceed to add each pair of digits starting from the rightmost side:

Units: $0 + 0 = 0$
Tens: $1 + 2 = 3$
Hundreds: $7 + 1 = 8$
Thousands: $1 + 0 = 1$
Ten-thousands: $1 + 3 = 4$

Put them together and we get:

The sum is $47,830$ .

The correct choice that matches this sum is:

Choice 1: $47,830$

Therefore, the solution to the problem is $47,830$ .

Final Answer

$47,830$

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value before adding
Technique: Add from right to left: 0+0=0, 1+2=3, 7+1=8
Check: Verify each column adds correctly and no carries needed ✓

Common Mistakes

Avoid these frequent errors

Not aligning numbers by place value
Don't just line up the rightmost digits without considering place value = wrong sums! This puts thousands under hundreds and creates calculation errors. Always align each digit in its proper place value column before adding.

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 vertically?

Lining up numbers by place value ensures you're adding the right digits together! Units go with units, tens with tens, and so on. This prevents mixing up place values.

What if the numbers have different amounts of digits?

That's normal! Just align them by place value starting from the rightmost digit. The shorter number will have empty spaces on the left, which you can treat as zeros.

How do I know if I need to carry over?

You need to carry when any column adds up to 10 or more. In this problem, no column exceeds 9, so no carrying is needed!

Should I add from left to right or right to left?

Always add from right to left (units to ten-thousands). This way, if you need to carry over, you're moving in the correct direction.

How can I check if my answer is correct?

Try adding the numbers in reverse order: $30,120 + 11,710$ . You should get the same answer! You can also estimate: both numbers are around 40,000 total.

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