Solve Addition Problem: 3267 + 1662 Using Column Method

Q: What does it mean to 'carry over' a number?

When adding digits gives you 10 or more, write down the units digit and carry the tens digit to the next column. For example, $6 + 6 = 12$ means write 2 and carry 1.

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

We add from right to left because of place value! Starting with units, then tens, then hundreds ensures carrying works correctly and maintains proper place values.

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

Try these methods: Add in reverse order (1662 + 3267)Estimate: 3200 + 1700 ≈ 4900Subtract: 4929 - 1662 should equal 3267

Column Addition with Carrying Over

$\begin{aligned} &3267 \\ +& \\ &1662 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem step by step.

00:10 First, we'll add two digits together and then replace them.

00:14 Start by adding the ones place digits.

00:17 Now, substitute the ones place result.

00:21 Next, add the tens place digits.

00:24 Substitute in the tens place, and remember to carry one to the hundreds.

00:29 Add the hundreds place digits, and don’t forget to add one.

00:34 Substitute the result into the hundreds place.

00:38 Finally, add the thousands place digits and substitute.

00:43 And there you have it, the problem is solved!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &3267 \\ +& \\ &1662 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve the problem of adding the numbers 3267 and 1662, let's use vertical addition:

Step 1: Align the numbers by their place values, from right to left:

$\begin{aligned} &3267 \\ +& \\ &1662 \\ \end{aligned}$

Step 2: Begin adding from the units place (rightmost):

Units place: $7 + 2 = 9$
Tens place: $6 + 6 = 12$ . Write 2, carry over 1.
Hundreds place: $2 + 6 + 1$ (carried over) $= 9$
Thousands place: $3 + 1 = 4$

The final sum by place value is 4929.

Therefore, the sum of 3267 and 1662 is $4929$ .

The correct choice is option 4: $4929$

Final Answer

4929

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value, units under units
Technique: Add column by column from right: $6 + 6 = 12$ , write 2, carry 1
Check: Verify each column addition and final sum: 3267 + 1662 = 4929 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 12 in the tens place when 6 + 6 = 12 = wrong answer 491212! This ignores place value completely. Always write the units digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does it mean to 'carry over' a number?

When adding digits gives you 10 or more, write down the units digit and carry the tens digit to the next column. For example, $6 + 6 = 12$ means write 2 and carry 1.

Why do I start adding from the right side?

We add from right to left because of place value! Starting with units, then tens, then hundreds ensures carrying works correctly and maintains proper place values.

What if I forget to add the carried number?

You'll get the wrong answer! In this problem, forgetting to add the carried 1 in hundreds place gives $2 + 6 = 8$ instead of $2 + 6 + 1 = 9$ , making your answer 4829 instead of 4929.

How can I check if my addition is correct?

Try these methods:

Add in reverse order (1662 + 3267)
Estimate: 3200 + 1700 ≈ 4900
Subtract: 4929 - 1662 should equal 3267

What if there's no carrying needed?

That's easier! Just add each column normally from right to left. Carrying only happens when the sum of digits in a column is 10 or greater.

Can I add from left to right instead?

It's much harder and error-prone! Adding left to right requires estimating carries ahead of time. Always stick to right-to-left for column addition - it's the standard method for good reason.

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