Calculate the Sum: Adding 742 and 258

Q: What does 'carry over' mean exactly?

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, $2 + 8 = 10$, so write 0 and carry 1.

Q: Why do I keep getting the wrong answer?

Make sure you're aligning the digits properly in columns (ones under ones, tens under tens) and remembering to add any carried numbers to each column sum.

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

Try adding the numbers in a different order or use horizontal addition: $742 + 258$. You can also estimate: $700 + 300 = 1000$, so your answer should be close!

Q: What if I have to carry multiple times in one problem?

That's totally normal! Just handle one column at a time, starting from the right. Don't forget to include any carried number when adding each new column.

Q: Can I add from left to right instead?

Vertical addition works best from right to left because carrying affects the next column. Adding left to right makes it harder to handle carries properly and can lead to mistakes.

Vertical Addition with Carrying

$\begin{aligned} &742 \\ +& \\ &258 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 combine 2 digits, and then place

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

00:09 Place the ones, add 1 to tens

00:14 Combine tens with tens, remember to add 1 to the calculation

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

00:23 Combine hundreds with hundreds, remember to add 1

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

00:33 Place 0 in the missing digits

00:36 Combine thousands with thousands, remember to add 1

00:40 Place in thousands

00:43 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

$\begin{aligned} &742 \\ +& \\ &258 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this vertical addition problem, let's break down each step:

Step 1: Align the numbers for vertical addition:
742
+ 258
Step 2: Add the units column (rightmost digits):
2 + 8 = 10, write down $0$ and carry over $1$ to the tens column.
Step 3: Add the tens column, including the carry:
4 + 5 + 1 (carry) = 10, write down $0$ and carry over $1$ to the hundreds column.
Step 4: Add the hundreds column, including the carry:
7 + 2 + 1 (carry) = 10, write down $0$ and carry over $1$ to the thousands position.
Since there is a carry in the thousands position, write down $1$ as the leading digit.

Therefore, the sum of $742$ and $258$ is $1000$ .

Final Answer

1000

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack digits in proper columns before adding vertically
Carrying: When sum exceeds 9, write ones digit and carry tens
Verification: Add horizontally: 742 + 258 = 1000 to confirm answer ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when column sum exceeds 9
Don't write 10 in the units place when 2 + 8 = 10! This creates wrong place values and incorrect totals. Always write the ones digit (0) and carry the tens digit (1) to the next column.

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 'carry over' mean exactly?

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, $2 + 8 = 10$ , so write 0 and carry 1.

Why do I keep getting the wrong answer?

Make sure you're aligning the digits properly in columns (ones under ones, tens under tens) and remembering to add any carried numbers to each column sum.

How can I check if my addition is correct?

Try adding the numbers in a different order or use horizontal addition: $742 + 258$ . You can also estimate: $700 + 300 = 1000$ , so your answer should be close!

What if I have to carry multiple times in one problem?

That's totally normal! Just handle one column at a time, starting from the right. Don't forget to include any carried number when adding each new column.

Can I add from left to right instead?

Vertical addition works best from right to left because carrying affects the next column. Adding left to right makes it harder to handle carries properly and can lead to mistakes.

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