Solve Addition Problem: 936 + 79 in Vertical Format

Q: What does 'carry over' mean exactly?

When two digits add up to 10 or more, you write the units digit in that column and carry the tens digit to the next column on the left. For example, $ 6 + 9 = 15 $ means write 5 and carry 1.

Q: Why can't I just write 15 under the 6 and 9?

Because place value matters! Each column represents a different place (units, tens, hundreds). Writing 15 in one column would mean 15 units, not 1 ten and 5 units.

Q: Do I always need to align numbers on the right?

Yes! Always line up the rightmost digits (units place) first. This ensures tens align with tens, hundreds with hundreds, and so on.

Q: What if there's no digit to add in a column?

Treat missing digits as zero. In this problem, 79 has no hundreds digit, so you add $ 9 + 0 + 1 $ (carried) = 10 in the hundreds column.

Q: How do I check my answer is correct?

You can verify by adding horizontally: $ 936 + 79 $, or by subtracting: $ 1015 - 79 = 936 $ ✓

Vertical Addition with Carrying Over

$\begin{aligned} &936 \\ +& \\ &~~79 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider combining 2 digits, and then write down

00:06 Let's start by multiplying ones with ones

00:09 Write down the ones, add 1 to the tens

00:13 Multiply tens with tens, remember to add 1 to the calculation

00:18 Write down tens in tens place, add 1 to hundreds

00:22 Write 0 in the missing digits

00:25 Multiply hundreds with hundreds, remember to add 1

00:28 Write down the hundreds in hundreds place, add 1 to thousands

00:31 Write 0 in the missing digits

00:34 Multiply thousands with thousands, and write in thousands place

00:38 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &936 \\ +& \\ &~~79 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll proceed with vertical addition:

Step 1: Align the numbers.

Align the numbers so that their place values line up:

$\begin{array}{c} & 936 \\ + & 79 \\ \hline \end{array}$

Step 2: Add the rightmost column (Units).

Add the units digits: $6 + 9 = 15$ . Place the 5 in the units column and carry over the 1 to the tens column.

Step 3: Add the next column (Tens), including any carried-over value.

Add the tens digits and the carried-over 1: $3 + 7 + 1 = 11$ . Place 1 in the tens column and carry over the 1 to the hundreds column.

Step 4: Add the final column (Hundreds), including any carried-over value.

Add the hundreds digits and the carried-over 1: $9 + 1 = 10$ . Since this is the leftmost column, write down the entire value as it is.

Final sum:

The resulting sum is:

$\begin{array}{c} & 936 \\ + & 79 \\ \hline & 1015 \\ \end{array}$

Therefore, the correct answer is $1015$ .

Final Answer

1015

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value columns correctly
Technique: Add column by column: $6 + 9 = 15$ , carry the 1
Check: Verify by adding horizontally: $936 + 79 = 1015$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 15 in the units column when adding 6 + 9 = wrong answer like 1515! This ignores place value rules. Always carry the tens digit to the next column and write only the units digit.

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 'carry over' mean exactly?

When two digits add up to 10 or more, you write the units digit in that column and carry the tens digit to the next column on the left. For example, $6 + 9 = 15$ means write 5 and carry 1.

Why can't I just write 15 under the 6 and 9?

Because place value matters! Each column represents a different place (units, tens, hundreds). Writing 15 in one column would mean 15 units, not 1 ten and 5 units.

Do I always need to align numbers on the right?

Yes! Always line up the rightmost digits (units place) first. This ensures tens align with tens, hundreds with hundreds, and so on.

What if there's no digit to add in a column?

Treat missing digits as zero. In this problem, 79 has no hundreds digit, so you add $9 + 0 + 1$ (carried) = 10 in the hundreds column.

How do I check my answer is correct?

You can verify by adding horizontally: $936 + 79$ , or by subtracting: $1015 - 79 = 936$ ✓

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