Solve the Subtraction Equation: 4567 - □ = 4557

Missing Subtrahend with Four-Digit Numbers

Complete the following equation:

4567=4557 4567-\Box=4557

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the following equation:

4567=4557 4567-\Box=4557

2

Step-by-step solution

To solve this problem, we'll apply basic subtraction to identify the missing number, following these steps:

  • Step 1: Identify the given numbers for subtraction. We have 4567 4567 as the minuend and 4557 4557 as the result.
  • Step 2: Use the formula for subtraction. We need to find the subtrahend, \Box , given by =45674557 \Box = 4567 - 4557 .
  • Step 3: Perform the calculation. Subtract 4557 4557 from 4567 4567 :

45674557=10 4567 - 4557 = 10

Therefore, the missing number is =10 \Box = 10 .

The solution to the problem is =10 \Box = 10 .

3

Final Answer

10 10

Key Points to Remember

Essential concepts to master this topic
  • Subtraction Rule: Minuend minus subtrahend equals difference
  • Technique: Find missing subtrahend: 4567 - 4557 = 10
  • Check: Verify by substitution: 4567 - 10 = 4557 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting in wrong order
    Don't calculate 4557 - 4567 = -10! This gives a negative result because you're subtracting the larger number from the smaller one. Always subtract the result from the original number: 4567 - 4557 = 10.

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 I subtract 4557 from 4567 instead of the other way around?

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In the equation 4567=4557 4567 - \Box = 4557 , we need to find what number was subtracted from 4567 to get 4557. So we calculate 4567 - 4557 = 10.

How can I remember which number to subtract from which?

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Think of it like this: "What do I take away from 4567 to get 4567?" The difference between these numbers is your answer: 4567 - 4557 = 10.

What if I get a negative answer?

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If you get a negative answer, you probably subtracted in the wrong order! The missing number in a=b a - \Box = b is always positive when a > b.

Can I check my answer a different way?

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Yes! Use addition: 4557 + 10 = 4567. If this equals the original number (4567), your answer is correct!

Why is the answer 10 and not 1 or 100?

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Look at the place values: 4567 and 4557 differ only in the tens place (6 vs 5). The difference is 1 ten, which equals 10.

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