Solve Vertical Addition: 862 + 4 Step-by-Step

Q: Where should I place the 4 when setting up the problem?

Always place the 4 directly under the units digit (the 2 in 862). Since 4 is a single digit, it belongs in the units place only.

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

No carrying needed! Since $ 2 + 4 = 6 $ and 6 is less than 10, we simply write 6 in the units place and bring down the other digits.

Q: What if I accidentally put 4 under the wrong column?

You'll get the wrong answer! If 4 goes under tens place, you get $ 862 + 40 = 902 $. Always double-check your alignment before adding.

Q: How can I check if 866 is correct?

Add horizontally: $ 862 + 4 = 866 $Use mental math: 862 plus 4 more equals 866Count up from 862: 863, 864, 865, 866 ✓

Q: Why don't the tens and hundreds places change?

Because we're only adding 4 to the units place! The tens place (6) and hundreds place (8) stay the same since there's no carrying needed.

Vertical Addition with Single-Digit Numbers

$\begin{aligned} &862 \\ +& \\ &~~~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step written solution

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Understand the problem

$\begin{aligned} &862 \\ +& \\ &~~~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve the problem of adding $862$ and $4$ vertically, follow these steps:

Step 1: Align the numbers as follows:
$\begin{array}{c} 862 \\ + 4 \\ \underline{\phantom{776}} \\ \end{array}$
Step 2: Add the digit in the units’ place:
$2 + 4 = 6$
Step 3: Since $6$ is less than $10$ , place the $6$ directly in the units’ place of the result:
Step 4: Move to the tens and hundreds places. Since there is no carry, just bring down the $6$ from the tens place and the $8$ from the hundreds place directly.

Therefore, the sum of $862$ and $4$ is $866$ .

The correct answer choice is: :

866

Final Answer

866

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Line up digits by place value columns correctly
Technique: Add units place first: $2 + 4 = 6$
Check: Verify by adding horizontally: $862 + 4 = 866$ ✓

Common Mistakes

Avoid these frequent errors

Misaligning place values when adding
Don't place 4 under the tens or hundreds column = wrong alignment and incorrect sum! This shifts the entire calculation and gives answers like 904 or 1262. Always align the single digit under the units column of the larger number.

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

Where should I place the 4 when setting up the problem?

Always place the 4 directly under the units digit (the 2 in 862). Since 4 is a single digit, it belongs in the units place only.

Do I need to carry anything in this problem?

No carrying needed! Since $2 + 4 = 6$ and 6 is less than 10, we simply write 6 in the units place and bring down the other digits.

What if I accidentally put 4 under the wrong column?

You'll get the wrong answer! If 4 goes under tens place, you get $862 + 40 = 902$ . Always double-check your alignment before adding.

How can I check if 866 is correct?

Add horizontally: $862 + 4 = 866$
Use mental math: 862 plus 4 more equals 866
Count up from 862: 863, 864, 865, 866 ✓

Why don't the tens and hundreds places change?

Because we're only adding 4 to the units place! The tens place (6) and hundreds place (8) stay the same since there's no carrying needed.

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