Solve the Addition Equation: Finding the Missing Number in 1000 + □ = 1500

Addition Equations with Missing Addends

Complete the following equation:

1000+=1500 1000+\Box=1500

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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:

1000+=1500 1000+\Box=1500

2

Step-by-step solution

To find the missing number in the equation 1000+=1500 1000 + \Box = 1500 , we will follow these steps:

  • Step 1: Identify the known values. We know 1000 1000 (the known addend) and 1500 1500 (the total sum).
  • Step 2: Use subtraction to find the missing number. The missing number is the difference between the total sum and the known addend.

Now, perform the calculation:

Subtract 1000 1000 from 1500 1500 :

=15001000 \Box = 1500 - 1000

=500 \Box = 500

Thus, the missing number is 500 500 .

3

Final Answer

500 500

Key Points to Remember

Essential concepts to master this topic
  • Rule: Use subtraction to find the missing addend in addition equations
  • Technique: Subtract the known addend from sum: =15001000=500 \Box = 1500 - 1000 = 500
  • Check: Verify by substituting back: 1000+500=1500 1000 + 500 = 1500

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to find the missing number
    Don't add 1000 + 1500 = 2500! This gives you a completely wrong answer because you're combining both given numbers instead of finding their difference. Always subtract the known addend from the sum to find the missing addend.

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 instead of add to find the missing number?

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In addition equations like a+b=c a + b = c , if you know a and c, you need subtraction to find b. Think of it as "undoing" the addition!

How can I remember which number to subtract from which?

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Always subtract the known addend from the total sum. In 1000+=1500 1000 + \Box = 1500 , subtract 1000 from 1500, not the other way around!

What if I get a negative answer?

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Check your subtraction! If you subtracted correctly and still got negative, the known addend might be larger than the sum, which means there's an error in the original problem.

Can I solve this by moving numbers to the other side?

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Absolutely! You can rewrite 1000+=1500 1000 + \Box = 1500 as =15001000 \Box = 1500 - 1000 . This is the same as our subtraction method!

How do I check if my answer is correct?

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Substitute your answer back into the original equation. Replace the box with your answer and see if both sides are equal: 1000+500=1500 1000 + 500 = 1500

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