Solve Vertical Addition: 69 + 5 Step-by-Step Solution

Q: Why can't I just write 14 in the units place?

Each place value column can only hold one digit! When you get 14, the 4 stays in units and the 1 moves to tens. This follows our base-ten number system.

Q: What does 'carry over' actually mean?

Carrying over means moving the extra digit to the next column. Think of it like exchanging 10 ones for 1 ten - just like trading 10 pennies for 1 dime!

Q: How do I know when to regroup?

Regroup whenever the sum in any column is 10 or greater. If 9 + 5 = 14, you need to regroup. If 3 + 4 = 7, no regrouping needed.

Q: What if I forget to add the carried number?

Always remember to add your carried digit to the next column! In this problem, don't forget to add that carried 1 to the 6 in the tens place.

Q: Can I check my answer a different way?

Method 1: Add horizontally: $60 + 9 + 5 = 74$Method 2: Subtract: $74 - 5 = 69$ ✓Method 3: Use mental math: $69 + 1 + 4 = 74$

Vertical Addition with Regrouping

$\begin{aligned} &69 \\ +& \\ &~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 Start by adding units with units

00:09 Place the units, add the tens to the tens column

00:12 Remember to carry 1

00:15 Place 0 where there is no digit

00:18 Add tens with tens, remember to add 1 from carrying

00:21 Place the solution in the tens column

00:24 And that's the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &69 \\ +& \\ &~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we need to perform vertical addition of the numbers 69 and 5.

Step-by-step:

Align the Numbers: Write 69 and 5 vertically, ensuring units are under units.
Add the Units Place:
- Add the units digits: $9 + 5 = 14$ .
- Regroup: Write down $4$ and carry over $1$ to the tens place.
Add the Tens Place:
- Add the digits in the tens place, including the carryover: $6 + 1 = 7$ .
- Since there is no other number in the tens column besides the initial carry, the result is $7$ .

Therefore, $69 + 5 = 74$ .

Conclusively, the answer to the problem is $74$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Place units under units and tens under tens
Regrouping: When 9 + 5 = 14, write 4 and carry 1
Verification: Check by adding horizontally: 60 + 9 + 5 = 74 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 14 in the units place = impossible two-digit answer in one column! This ignores place value rules and creates wrong totals. Always carry the tens digit to the next column when any sum is 10 or greater.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

Why can't I just write 14 in the units place?

Each place value column can only hold one digit! When you get 14, the 4 stays in units and the 1 moves to tens. This follows our base-ten number system.

What does 'carry over' actually mean?

Carrying over means moving the extra digit to the next column. Think of it like exchanging 10 ones for 1 ten - just like trading 10 pennies for 1 dime!

How do I know when to regroup?

Regroup whenever the sum in any column is 10 or greater. If 9 + 5 = 14, you need to regroup. If 3 + 4 = 7, no regrouping needed.

What if I forget to add the carried number?

Always remember to add your carried digit to the next column! In this problem, don't forget to add that carried 1 to the 6 in the tens place.

Can I check my answer a different way?

Method 1: Add horizontally: $60 + 9 + 5 = 74$
Method 2: Subtract: $74 - 5 = 69$ ✓
Method 3: Use mental math: $69 + 1 + 4 = 74$

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