Solve 5896 + 1256 Using a Place Value Chart: Step-by-Step Addition

Q: What does 'carry over' mean 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, $ 6 + 6 = 12 $, so write 2 and carry the 1.

Q: Why do I need to use a place value chart?

The chart helps you organize your work and ensures each digit goes in the correct column. This prevents mixing up thousands with hundreds or tens with ones!

Q: What if I forget to add the carried number?

You'll get the wrong answer! Always remember to add the carried digit to your column sum. For example: tens column is $ 9 + 5 + 1_{carried} = 15 $.

Q: How do I know if my final answer is correct?

Use estimation to check! Round $ 5896 $ to 6000 and $ 1256 $ to 1300. Since $ 6000 + 1300 = 7300 $, your answer of 7152 makes sense!

Q: Can I add from left to right instead?

Not recommended! Adding from right to left (ones to thousands) follows the natural carryover pattern and reduces errors. Left-to-right addition is much more complicated with carrying.

Place Value Addition with Multi-Digit Carryover

Solve the exercise using the structure table below:

$5896+1256=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the exercise using the structure table below:

$5896+1256=$

Step-by-step solution

To solve the problem, we perform column addition on the numbers 5896 and 1256, ensuring we account for any carryover between the place values. Here's a step-by-step breakdown:

Step 1: Align the numbers by their place values:
$5896$
+ $1256$
Step 2: Add the Ones place:
$6 + 6 = 12$ . Write down 2, carry over 1 to the Tens place.
Step 3: Add the Tens place including the carryover:
$9 + 5 + 1 = 15$ . Write down 5, carry over 1 to the Hundreds place.
Step 4: Add the Hundreds place including the carryover:
$8 + 2 + 1 = 11$ . Write down 1, carry over 1 to the Thousands place.
Step 5: Add the Thousands place including the carryover:
$5 + 1 + 1 = 7$ . Write down 7.

Putting it all together, the sum of $5896 + 1256$ gives us:

$7152$ .

Therefore, the correct answer is $7152$ .

Final Answer

$7152$

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value columns before adding
Technique: Start from ones: 6 + 6 = 12, write 2 carry 1
Check: Verify each column shows proper carryover to next position ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write down 12 in the ones column = wrong answer 712! This ignores place value rules and creates impossible digits. Always write the ones digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

What does 'carry over' mean 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, $6 + 6 = 12$ , so write 2 and carry the 1.

Why do I need to use a place value chart?

The chart helps you organize your work and ensures each digit goes in the correct column. This prevents mixing up thousands with hundreds or tens with ones!

What if I forget to add the carried number?

You'll get the wrong answer! Always remember to add the carried digit to your column sum. For example: tens column is $9 + 5 + 1_{carried} = 15$ .

How do I know if my final answer is correct?

Use estimation to check! Round $5896$ to 6000 and $1256$ to 1300. Since $6000 + 1300 = 7300$ , your answer of 7152 makes sense!

Can I add from left to right instead?

Not recommended! Adding from right to left (ones to thousands) follows the natural carryover pattern and reduces errors. Left-to-right addition is much more complicated with carrying.

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