Complete the Equation: Finding the Missing Value in 1000 + □ = 1010

Q: Why do I subtract 1000 from 1010 instead of the other way around?

Think of it like this: Sum - Known Part = Missing Part. Since 1010 is the total and 1000 is the known addend, we calculate $ 1010 - 1000 = 10 $ to find what's missing.

Q: How can I remember which operation to use?

Remember: Addition and subtraction are opposites. When you have addition with a missing number, use subtraction to find it. It's like undoing the addition!

Q: What if I get a negative answer?

Check your subtraction! In problems like $ 1000 + \Box = 1010 $, the missing addend should be positive since we're adding to get a larger number.

Q: Can I solve this by guessing and checking?

You could, but subtraction is much faster! Plus, understanding the method helps you solve harder problems where guessing would take forever.

Basic Equations with Missing Addends

Complete the following equation:

$1000+\Box=1010$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following equation:

$1000+\Box=1010$

Step-by-step solution

To solve this problem, we need to determine the missing number in the equation $1000 + \Box = 1010$ . To find this missing number, we will convert the addition problem into a subtraction problem:

Step 1: We have the equation:

$1000 + \Box = 1010$

Step 2: To find $\Box$ , we can rearrange the equation by subtracting 1000 from 1010:

$\Box = 1010 - 1000$

Step 3: Perform the subtraction:

$1010 - 1000 = 10$

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

Thus, the solution to the problem is $\Box = 10$ . Among the provided answer choices, this corresponds to choice 2.

Final Answer

$10$

Key Points to Remember

Essential concepts to master this topic

Inverse Operations: Use subtraction to find missing addends in addition equations
Technique: Rearrange $1000 + \Box = 1010$ to $\Box = 1010 - 1000$
Verification: Substitute back: $1000 + 10 = 1010$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Confusing which numbers to subtract
Don't subtract the smaller number from the larger automatically = 1000 - 1010 = -10! This ignores the equation structure. Always subtract the known addend from the sum: 1010 - 1000 = 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 1000 from 1010 instead of the other way around?

Think of it like this: Sum - Known Part = Missing Part. Since 1010 is the total and 1000 is the known addend, we calculate $1010 - 1000 = 10$ to find what's missing.

How can I remember which operation to use?

Remember: Addition and subtraction are opposites. When you have addition with a missing number, use subtraction to find it. It's like undoing the addition!

What if I get a negative answer?

Check your subtraction! In problems like $1000 + \Box = 1010$ , the missing addend should be positive since we're adding to get a larger number.

Can I solve this by guessing and checking?

You could, but subtraction is much faster! Plus, understanding the method helps you solve harder problems where guessing would take forever.

How do I check if my answer is correct?

Substitute your answer back into the original equation. Does $1000 + 10 = 1010$ ? Yes! So 10 is correct.

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