Calculate the Sum: 957 + 43 in Vertical Format

Q: Why do I need to carry when the sum is 10 or more?

Our number system only allows one digit per place value! When 7+3=10, the '1' represents 10 ones, which equals 1 ten. So we write 0 in the ones place and carry the 1 to the tens place.

Q: How do I know if I aligned the numbers correctly?

The rightmost digits should be directly above each other. Think of it like money - all the pennies line up, all the dimes line up, and so on. The 7 and 3 should be in the same column.

Multi-Digit Addition with Carrying

$\begin{aligned} &957 \\ +& \\ &~~43 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 connecting 2 digits, and then place

00:05 Let's start by connecting ones with ones

00:08 Place the ones, add 1 to the tens

00:12 Connect tens with tens, remember to add 1 to the calculation

00:18 Place tens in tens, add 1 to hundreds

00:21 Place 0 in the missing digits

00:25 Connect hundreds with hundreds, remember to add 1

00:28 Place the hundreds in hundreds, add 1 to thousands

00:31 Place 0 in the missing digits

00:33 Connect thousands with thousands, and place in thousands

00:37 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &957 \\ +& \\ &~~43 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Align the Numbers

We will align the numbers by their place values:

$\begin{aligned} &957 \\ +& \\ &~~43 \\ \end{aligned}$

Step 2: Perform Addition from Right to Left

Units Place (rightmost column):

Add the digits in the ones place: $7 + 3 = 10$ .
Since 10 is greater than 9, write down 0 in the ones place and carry over 1 to the tens place.

Tens Place (middle column):

Add the digits in the tens place, including the carry-over: $5 + 4 + 1 = 10$ .
Again, write down 0 in the tens place and carry over 1 to the hundreds place.

Hundreds Place (leftmost column):

Add the digits in the hundreds place, including the carry-over: $9 + 1 = 10$ .
Write down the entire 10 since there is no further place to carry over.

Step 3: Write Down the Final Answer

The result of the addition is 1000.

Therefore, the solution to the problem is $1000$ .

Final Answer

1000

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value with rightmost digits aligned
Technique: Add from right to left, 7+3=10, write 0 carry 1
Check: Count up from 957: 958, 959, 960...1000 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't just write down large sums like 10 or 11 in one column = wrong place values! When 7+3=10, you must write 0 and carry the 1. Always carry the tens digit to the next column left.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

Why do I need to carry when the sum is 10 or more?

Our number system only allows one digit per place value! When 7+3=10, the '1' represents 10 ones, which equals 1 ten. So we write 0 in the ones place and carry the 1 to the tens place.

What if I forget to add the carried number?

You'll get the wrong answer! In this problem, if you forget the carried 1 in the tens place, you'd get 5+4=9 instead of 5+4+1=10. Always remember to add any carried digits.

How do I know if I aligned the numbers correctly?

The rightmost digits should be directly above each other. Think of it like money - all the pennies line up, all the dimes line up, and so on. The 7 and 3 should be in the same column.

Can I add from left to right instead?

It's much harder! Adding right to left lets you handle carrying as you go. If you add left to right, you might need to change previous answers when carrying occurs later.

What happens when I carry to a place that doesn't exist?

You create a new place! In this problem, when we carry 1 to the thousands place, we write the complete number 1000. The carried 1 becomes the thousands digit of our answer.

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