Solve 6330 - 250 Using Number Line and Arc Measurements

Q: Why do we break 250 into 200 + 50?

Breaking numbers makes mental math much easier! Subtracting round hundreds like 200 first, then the remaining 50, helps you track your steps clearly and avoid calculation errors.

Q: What do the arcs on the number line represent?

Each arc shows a jump backward on the number line. The bigger arc (200) represents a larger jump, while smaller arcs (50, 30, 20) show smaller place value movements.

Q: Can I subtract 250 all at once instead?

Yes, but breaking it down is safer and clearer! When you subtract large numbers in chunks, you're less likely to make mistakes and can easily check each step.

Q: How do I know which direction to move on the number line?

For subtraction, always move left (backward) on the number line. For addition, move right (forward). Think: subtraction makes numbers smaller!

Q: Why is the answer 6080 and not 6030?

Let's check: $ 6330 - 200 = 6130 $, then $ 6130 - 50 = 6080 $. If you got 6030, you might have subtracted 300 instead of 250!

Subtraction with Arc Method Visualization

Solve the exercise using the number line below:

$6330-250=$

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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 number line below:

$6330-250=$

Step-by-step solution

To solve the subtraction $6330 - 250$ using a number line, follow these steps:

Start at the point representing 6330 on the number line.
First, subtract 200 from 6330. This step simplifies the process by dealing with a round number, resulting in $6330 - 200 = 6130$ .
Next, subtract the remaining 50 from 6130. By breaking the subtraction into manageable parts, we find $6130 - 50 = 6080$ .

Therefore, the final result of $6330 - 250$ is $6080$ .

Final Answer

$6080$

Key Points to Remember

Essential concepts to master this topic

Arc Method: Use curved arcs to represent place value jumps
Technique: Break 250 into 200 + 50 for easier mental calculation
Check: Verify 6080 + 250 = 6330 using addition ✓

Common Mistakes

Avoid these frequent errors

Subtracting digits directly without considering place value
Don't subtract 6330 - 250 by doing 6-2, 3-5, 3-0 = wrong answer! This ignores place values completely. Always break larger numbers into manageable chunks like 200 + 50 and subtract step by step.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do we break 250 into 200 + 50?

Breaking numbers makes mental math much easier! Subtracting round hundreds like 200 first, then the remaining 50, helps you track your steps clearly and avoid calculation errors.

What do the arcs on the number line represent?

Each arc shows a jump backward on the number line. The bigger arc (200) represents a larger jump, while smaller arcs (50, 30, 20) show smaller place value movements.

Can I subtract 250 all at once instead?

Yes, but breaking it down is safer and clearer! When you subtract large numbers in chunks, you're less likely to make mistakes and can easily check each step.

How do I know which direction to move on the number line?

For subtraction, always move left (backward) on the number line. For addition, move right (forward). Think: subtraction makes numbers smaller!

Why is the answer 6080 and not 6030?

Let's check: $6330 - 200 = 6130$ , then $6130 - 50 = 6080$ . If you got 6030, you might have subtracted 300 instead of 250!

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