Solve the Addition Equation: 1101 + □ = 1301

Missing Addend with Subtraction Method

Complete the following equation:

1101+=1301 1101+\Box=1301

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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:

1101+=1301 1101+\Box=1301

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Identify the equation we are working with, 1101+=1301 1101 + \Box = 1301 .
  • Step 2: Recognize that the missing number can be found by re-arranging the equation to isolate the unknown. This involves subtraction.
  • Step 3: Perform the calculation: subtract 1101 from 1301.

Let's work through the calculation:

13011101=200 1301 - 1101 = 200

Therefore, the missing number \Box that completes the equation is 200\boxed{200}.

3

Final Answer

200 200

Key Points to Remember

Essential concepts to master this topic
  • Rule: Missing addend equals sum minus known addend
  • Technique: Rearrange equation: 1301 - 1101 = 200
  • Check: Verify by adding: 1101 + 200 = 1301 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to find missing number
    Don't add 1101 + 1301 = 2402! This gives you the wrong operation entirely. The missing addend is found by subtraction, not addition. Always subtract the known addend from the sum.

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 1101 from 1301 instead of the other way around?

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Because we need to find what to add to 1101 to get 1301. Think of it as: 1101 + ? = 1301, so ? = 1301 - 1101. Always subtract the smaller number from the larger one.

How can I check if 200 is the right answer?

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Simply add it back! 1101+200=1301 1101 + 200 = 1301 . If your addition gives you the original sum, you're correct!

What if I get confused about which number to subtract?

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Remember the pattern: Sum - Known Addend = Missing Addend. The sum is always the largest number in addition problems.

Can I solve this using different methods?

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Yes! You could count up from 1101 to 1301, but subtraction is faster. Both methods should give you the same answer: 200.

Why is this called a 'missing addend' problem?

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Because one of the numbers being added (called an addend) is missing from the equation. We use the box symbol \Box to show what we need to find.

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