Solve Vertical Addition: 86 + 11 Step-by-Step

Q: Which column should I start adding from?

Always start from the rightmost column (units place) and work your way left. This is the standard method that prevents confusion and prepares you for problems with carrying.

Q: What if the digits don't line up neatly when I write them?

Take your time to carefully align each digit in its proper column. Draw light vertical lines if needed to help keep your place values organized!

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

No carrying needed here! Since $6 + 1 = 7$ and $8 + 1 = 9$, both sums are less than 10. You simply write each result in its column.

Q: How can I double-check my vertical addition?

Try adding the numbers horizontally: 86 + 11. You can also add in a different order: 11 + 86. Both methods should give you the same answer!

Q: What's the difference between this and horizontal addition?

Vertical addition makes it easier to keep track of place values and is especially helpful for larger numbers or when you need to carry. It's the same math, just organized differently!

Column Addition with Two-Digit Numbers

$\begin{aligned} &86 \\ +& \\ &11 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 we calculate the sum of 2 digits, and then we place

00:06 We'll start by adding ones with ones

00:09 We'll place in the correct position

00:12 We'll add tens with tens

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

$\begin{aligned} &86 \\ +& \\ &11 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve the given problem, we will perform vertical addition:

Step 1: Align the numbers by their rightmost digits:
$\begin{aligned} &86 \\ +& \\ &11 \\ &\underline{\phantom{776}} \\ \end{aligned}$
Step 2: Add the digits in the units column:
- The units digits are 6 and 1. Adding them gives us $6 + 1 = 7$ .
Step 3: Add the digits in the tens column:
- The tens digits are 8 and 1. Adding them gives us $8 + 1 = 9$ .
Step 4: Combine the results:
- Write down the addition result starting with the tens followed by the units to get the final sum of 97.

Thus, the result of the addition is $97$ .

Since this problem requires a choice, the correct choice from the given options is: : $97$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers with units and tens digits lined up properly
Technique: Add column by column: 6 + 1 = 7, then 8 + 1 = 9
Check: Verify by adding horizontally: 86 + 11 = 97 ✓

Common Mistakes

Avoid these frequent errors

Misaligning digits when stacking numbers
Don't write numbers randomly without aligning place values = wrong column additions! When digits aren't properly aligned, you add wrong place values together. Always line up units under units and tens under tens before adding.

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

Which column should I start adding from?

Always start from the rightmost column (units place) and work your way left. This is the standard method that prevents confusion and prepares you for problems with carrying.

What if the digits don't line up neatly when I write them?

Take your time to carefully align each digit in its proper column. Draw light vertical lines if needed to help keep your place values organized!

Do I need to carry anything in this problem?

No carrying needed here! Since $6 + 1 = 7$ and $8 + 1 = 9$ , both sums are less than 10. You simply write each result in its column.

How can I double-check my vertical addition?

Try adding the numbers horizontally: 86 + 11. You can also add in a different order: 11 + 86. Both methods should give you the same answer!

What's the difference between this and horizontal addition?

Vertical addition makes it easier to keep track of place values and is especially helpful for larger numbers or when you need to carry. It's the same math, just organized differently!

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