Solve Vertical Addition: 31 + 6 Step by Step

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

Vertical alignment keeps place values organized! When digits are in proper columns (units under units, tens under tens), you avoid mixing up which numbers to add together.

Q: What if the second number has fewer digits?

That's normal! Just align the rightmost digits (units place). The number 6 goes under the 1 in 31, not under the 3. Think of 6 as having an invisible 0 in the tens place.

Q: Do I always add from right to left?

Yes! Always start with the units column, then move left to tens, hundreds, etc. This prevents mistakes when you need to carry over to the next column.

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

Try these methods: Add the numbers horizontally: $ 31 + 6 = 37 $Count up from 31: 32, 33, 34, 35, 36, 37Subtract to check: $ 37 - 6 = 31 $ ✓

Q: What if I get a different answer like 25 or 97?

Check your alignment! If you got 97, you probably added $ 31 + 60 $ instead of $ 31 + 6 $. If you got 25, you might have subtracted instead of added.

Vertical Addition with Single Digit Numbers

$\begin{aligned} &31 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 calculate the sum of 2 digits, and then substitute

00:06 Let's start by adding ones with ones, substitute the solution

00:09 Put 0 where there is no number

00:12 Add tens with tens, substitute 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

$\begin{aligned} &31 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will follow these steps:

Step 1: Align the numbers vertically with the units digits under each other: $31$ and $6$ .
Step 2: Add the units digits: $1 + 6 = 7$ . There is no carryover in this simple addition.
Step 3: The tens digit from the number 31, which is $3$ , remains unchanged as there is no carry that affects this place value.
Step 4: Write down the result of the addition, which is $37$ .

Therefore, the sum of $31$ and $6$ is $37$ .

The correct answer is choice 1: $37$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Place units digits directly under each other in columns
Technique: Add from right to left: $1 + 6 = 7$
Check: Verify by adding horizontally: $31 + 6 = 37$ ✓

Common Mistakes

Avoid these frequent errors

Misaligning digits in wrong columns
Don't write 6 under the tens place (3) = creates 31 + 60 instead of 31 + 6! This happens when you don't line up place values correctly. Always align the rightmost digits (units) under each other first.

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 line up the numbers vertically?

Vertical alignment keeps place values organized! When digits are in proper columns (units under units, tens under tens), you avoid mixing up which numbers to add together.

What if the second number has fewer digits?

That's normal! Just align the rightmost digits (units place). The number 6 goes under the 1 in 31, not under the 3. Think of 6 as having an invisible 0 in the tens place.

Do I always add from right to left?

Yes! Always start with the units column, then move left to tens, hundreds, etc. This prevents mistakes when you need to carry over to the next column.

How can I check if my answer is correct?

Try these methods:

Add the numbers horizontally: $31 + 6 = 37$
Count up from 31: 32, 33, 34, 35, 36, 37
Subtract to check: $37 - 6 = 31$ ✓

What if I get a different answer like 25 or 97?

Check your alignment! If you got 97, you probably added $31 + 60$ instead of $31 + 6$ . If you got 25, you might have subtracted instead of added.

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