Solve 5100 - 750 Using Number Line Jump Strategy

Q: Why do we break 750 into 600 + 100 + 50?

Breaking numbers into friendly parts makes subtraction easier! 600, 100, and 50 are easier to subtract mentally than 750 all at once.

Q: What if I subtract the parts in a different order?

You'll get the same answer, but it's easier to start with the largest part first. This way, you're working with smaller numbers as you go!

Q: How do I know I broke down 750 correctly?

Always check: $ 600 + 100 + 50 = 750 $. If your parts don't add up to the original number, you made an error in breaking it down.

Q: Can I break down numbers differently?

Yes! You could use 700 + 50 or 500 + 250. Choose the breakdown that feels easiest for you to work with mentally.

Q: What if I get confused during the jumps?

Write down each step clearly:$ 5100 - 600 = 4500 $$ 4500 - 100 = 4400 $$ 4400 - 50 = 4350 $

Subtraction with Breaking Down Strategy

Solve the exercise using the number line jumps below:

$5100-750=$

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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 jumps below:

$5100-750=$

Step-by-step solution

To solve the problem of $5100 - 750$ , we will use the number line jumps to simplify subtraction:

Step 1: Start with the number 5100.

Step 2: Subtract 600, the larger part of the breakdown of 750, which equals:

5100 - 600 = 4500

Step 3: Next, subtract 100 to get closer to the sum of 750, resulting in:

4500 - 100 = 4400

Step 4: Finally, subtract the remaining 50 to complete the subtraction:

4400 - 50 = 4350

Therefore, the solution to the problem is $4350$ .

Final Answer

$4350$

Key Points to Remember

Essential concepts to master this topic

Strategy: Break down 750 into smaller, manageable parts (600 + 100 + 50)
Technique: Subtract largest part first: $5100 - 600 = 4500$
Check: Add the parts back: $4350 + 600 + 100 + 50 = 5100$ ✓

Common Mistakes

Avoid these frequent errors

Subtracting parts in wrong order or forgetting parts
Don't subtract randomly like 5100 - 100 - 50 - 600 = wrong sequence! This creates confusion and calculation errors. Always subtract the largest part first (600), then medium (100), then smallest (50) systematically.

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 750 into 600 + 100 + 50?

Breaking numbers into friendly parts makes subtraction easier! 600, 100, and 50 are easier to subtract mentally than 750 all at once.

What if I subtract the parts in a different order?

You'll get the same answer, but it's easier to start with the largest part first. This way, you're working with smaller numbers as you go!

How do I know I broke down 750 correctly?

Always check: $600 + 100 + 50 = 750$ . If your parts don't add up to the original number, you made an error in breaking it down.

Can I break down numbers differently?

Yes! You could use 700 + 50 or 500 + 250. Choose the breakdown that feels easiest for you to work with mentally.

What if I get confused during the jumps?

Write down each step clearly:

$5100 - 600 = 4500$
$4500 - 100 = 4400$
$4400 - 50 = 4350$

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