Calculate the Sum: 716 + 427 in Vertical Format

Q: What does 'carry over' mean in addition?

When two digits add up to 10 or more, you write the ones digit in that column and carry the tens digit to the next column left. For example, $6 + 7 = 13$, so write 3 and carry the 1.

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

Place value alignment is crucial! Units must line up with units, tens with tens, etc. Misalignment leads to adding wrong place values together and getting incorrect answers.

Q: How do I remember to add the carried number?

Write the carried number small above the next column as a reminder. Then add three numbers: the carried digit plus the two digits in that column.

Q: What if I get confused with multiple carry-overs?

Work one column at a time from right to left. Complete each column fully (including writing the carry) before moving to the next column. Take your time!

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

Try these methods: Add the numbers in reverse order (427 + 716)Use estimation: 700 + 400 ≈ 1100, close to 1143 ✓Add each column again carefully

Multi-Digit Addition with Regrouping

$\begin{aligned} &716 \\ +& \\ &427 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 place

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

00:09 Place the ones, add 1 to the tens

00:12 Combine tens with tens, remember to add 1 to the calculation

00:18 Place in the tens

00:22 Combine hundreds with hundreds

00:27 Place hundreds in hundreds, and add 1 to thousands

00:30 Place 0 in the missing digits

00:33 Combine thousands with thousands, remember to add 1

00:36 Place in thousands

00:40 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &716 \\ +& \\ &427 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition:

Step 1: Add the units digits $6$ and $7$ .

$6 + 7 = 13$
Place $3$ in the units place and carry over $1$ to the tens place.

Step 2: Add the tens digits plus any carryover: $1$ (carry) + $1$ (from 716) + $2$ (from 427).

$1 + 1 + 2 = 4$
Place $4$ in the tens place.

Step 3: Add the hundreds digits plus any carryover: $7$ (from 716) + $4$ (from 427).

$7 + 4 = 11$
Place $1$ in the hundreds place and carry over another $1$ to the next higher place value (thousands).

Step 4: Place the carryover in the thousands place.

This gives a final number, arranged as $\underline{1143}$ .

Therefore, the solution to the problem is $1143$ .

Final Answer

1143

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value before adding
Regrouping: When sum exceeds 9, carry over to next place
Verification: Check by adding in reverse order: 427 + 716 = 1143 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when digits sum to 10 or more
Don't write down just the units digit when 6 + 7 = 13, leaving the 1 out = wrong answer like 143! The tens value must be carried to the next column. Always carry over the tens digit when any column sum is 10 or greater.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &83 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

When two digits add up to 10 or more, you write the ones digit in that column and carry the tens digit to the next column left. For example, $6 + 7 = 13$ , so write 3 and carry the 1.

Why do I need to line up the numbers vertically?

Place value alignment is crucial! Units must line up with units, tens with tens, etc. Misalignment leads to adding wrong place values together and getting incorrect answers.

How do I remember to add the carried number?

Write the carried number small above the next column as a reminder. Then add three numbers: the carried digit plus the two digits in that column.

What if I get confused with multiple carry-overs?

Work one column at a time from right to left. Complete each column fully (including writing the carry) before moving to the next column. Take your time!

How can I check if my addition is correct?

Try these methods:

Add the numbers in reverse order (427 + 716)
Use estimation: 700 + 400 ≈ 1100, close to 1143 ✓
Add each column again carefully

What if there's no carry-over in some columns?

That's normal! Not every column will need regrouping. Simply add the digits in those columns normally. For example, in the hundreds place: $7 + 4 = 11$ needs carrying, but some problems won't.

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