Solve Vertical Addition: 14 + 56 Using Column Method

Q: What does it mean to 'carry' in addition?

When adding digits gives you 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, $4 + 6 = 10$, so write 0 and carry 1.

Q: Why can't I just write 10 in the ones column?

Each column can only hold one digit! Writing 10 would mix place values. The 1 belongs in the tens column and the 0 stays in the ones column.

Q: How do I remember to add the carried number?

Write the carried digit small and above the next column as a reminder. Then add it with the other digits: $1 + 1 + 5 = 7$.

Q: Can I check my answer a different way?

Yes! Add horizontally: $14 + 56$. Or use mental math: $14 + 50 + 6 = 64 + 6 = 70$. Both should match your column addition.

Column Addition with Carrying Strategy

$\begin{aligned} &14 \\ +& \\ &56 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 place

00:06 Let's start by adding ones with ones

00:09 Place the ones, and remember 1 above

00:12 Add tens with tens

00:16 Remember to add 1 to the calculation

00:21 Place in tens

00:23 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

$\begin{aligned} &14 \\ +& \\ &56 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll perform vertical addition of two numbers, 14 and 56:

Step 1: Align the numbers vertically by place value.
The units digit of each number are aligned in one column, and the tens digit in another.
Step 2: Add the units column:
$4 + 6 = 10$ . Since this result is a two-digit number, write down the 0 and carry over the 1 to the tens column.
Step 3: Add the tens column, including the carry from the previous step:
$1 + 1 + 5 = 7$

Therefore, the sum of 14 and 56 is $70$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value with ones under ones
Technique: Add 4 + 6 = 10, write 0 and carry 1
Check: Verify 70 by adding horizontally: 14 + 56 = 70 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry when sum exceeds 9
Don't write down 10 in the ones place when adding 4 + 6 = impossible two-digit answer in single column! This creates wrong place values. Always carry the tens digit to the next column and write only the ones digit.

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

What does it mean to 'carry' in addition?

When adding digits gives you 10 or more, you write down the ones digit and 'carry' the tens digit to the next column. For example, $4 + 6 = 10$ , so write 0 and carry 1.

Why can't I just write 10 in the ones column?

Each column can only hold one digit! Writing 10 would mix place values. The 1 belongs in the tens column and the 0 stays in the ones column.

How do I remember to add the carried number?

Write the carried digit small and above the next column as a reminder. Then add it with the other digits: $1 + 1 + 5 = 7$ .

What if I forget to carry?

You'll get the wrong answer! Without carrying, you'd get 60 instead of 70. Always check if any column sum is 10 or more.

Can I check my answer a different way?

Yes! Add horizontally: $14 + 56$ . Or use mental math: $14 + 50 + 6 = 64 + 6 = 70$ . Both should match your column addition.

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