Solve Vertical Addition: 65 + 4 Step by Step

Q: Why do I need to align the numbers vertically?

Place value alignment is crucial! Each column represents a different place value (units, tens, hundreds). When digits aren't properly aligned, you're adding the wrong place values together.

Q: What if I get confused about which column to start with?

Always start from the rightmost column (units place) and work your way left. This is the same direction you read numbers, making it easier to remember!

Q: Do I need to carry anything in this problem?

No carrying needed here! Since $5 + 4 = 9$ is less than 10, we simply write 9 in the units place. Carrying only happens when a column sum is 10 or more.

Vertical Addition with Two-Digit Numbers

$\begin{aligned} &65 \\ +& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 units with units, place the solution

00:09 Place 0 where there is no digit

00:12 Combine tens with tens, place the solution

00:15 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

$\begin{aligned} &65 \\ +& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition of the numbers 65 and 4:

Step 1: Align the numbers vertically with the digits correctly placed (units under units, tens under tens).
Step 2: Start with the rightmost digits (the units place). Add the units: $5 + 4 = 9$ .
Step 3: No carrying is necessary as the sum is less than 10.
Step 4: Move to the tens place. Since we're adding a single-digit number, only the left number (6 in the tens place) remains as it is.

Combining these, the result of $65 + 4$ is $69$ .

Thus, the correct answer is $69$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Place units under units and tens under tens correctly
Addition: Start from rightmost column: $5 + 4 = 9$
Check: Verify by adding horizontally: $65 + 4 = 69$ ✓

Common Mistakes

Avoid these frequent errors

Misaligning digits in columns
Don't place the 4 under the 6 in the tens column = wrong answer like 104! This misaligns place values and creates incorrect sums. Always align digits by place value: units under units, tens under tens.

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 do I need to align the numbers vertically?

Place value alignment is crucial! Each column represents a different place value (units, tens, hundreds). When digits aren't properly aligned, you're adding the wrong place values together.

What if I get confused about which column to start with?

Always start from the rightmost column (units place) and work your way left. This is the same direction you read numbers, making it easier to remember!

Do I need to carry anything in this problem?

No carrying needed here! Since $5 + 4 = 9$ is less than 10, we simply write 9 in the units place. Carrying only happens when a column sum is 10 or more.

How can I check if my answer is right?

Try these methods: 1) Add horizontally instead of vertically, 2) Subtract your answer minus one addend to get the other, or 3) Use estimation - 65 + 4 should be close to 65 + 5 = 70.

What if the second number had more digits?

The same rules apply! Always align by place value. If adding 65 + 24, align the 4 under the 5 (units) and the 2 under the 6 (tens), then add each column separately.

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