Complete the Equation: Finding the Missing Number in 1000 + □ = 2000

Q: Why do I subtract 1000 instead of adding it?

Because 1000 is being added to the box, you need the opposite operation (subtraction) to cancel it out and isolate the box by itself.

Q: What if I get confused about which operation to use?

Think of it like undoing! If something is being added, subtract to undo it. If something is being subtracted, add to undo it.

Q: How can I remember to check my answer?

Always ask yourself: "Does my answer make the original equation true?" Plug your number back in where the box was and see if both sides are equal!

Q: Is there another way to think about this problem?

Yes! You can think of it as: "What number plus 1000 equals 2000?" This helps you understand that you're looking for the difference between 2000 and 1000.

Addition Equations with Large Whole Numbers

Complete the following equation:

$1000+\Box=2000$

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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:

$1000+\Box=2000$

Step-by-step solution

To solve the equation $1000 + \Box = 2000$ , we will start by isolating the box ( $\Box$ ). This can be achieved by subtracting 1000 from 2000:

Step 1: Rearrange the original equation to solve for $\Box$ :
Step 2: Calculate $\Box = 2000 - 1000$ .

Performing the subtraction:

$\Box = 2000 - 1000 = 1000$

This calculation shows that the missing number is $1000$ .

Finally, let's confirm our solution by substituting this value back into the original equation: $1000 + 1000 = 2000$ . The equation holds true, verifying our result.

The correct answer is clearly option 4: $1000$ .

Final Answer

$1000$

Key Points to Remember

Essential concepts to master this topic

Inverse Operations: Use subtraction to solve addition equations
Technique: $\Box = 2000 - 1000 = 1000$
Check: Substitute back: $1000 + 1000 = 2000$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting to isolate the unknown
Don't add 1000 to both sides = $\Box = 3000$ ! Addition doesn't isolate the box when it's already being added. Always use the opposite operation: subtract 1000 from both sides.

Practice Quiz

Test your knowledge with interactive questions

Solve the exercise using the structure table below:

$$ 5896+1256= $$

FAQ

Everything you need to know about this question

Why do I subtract 1000 instead of adding it?

Because 1000 is being added to the box, you need the opposite operation (subtraction) to cancel it out and isolate the box by itself.

What if I get confused about which operation to use?

Think of it like undoing! If something is being added, subtract to undo it. If something is being subtracted, add to undo it.

How can I remember to check my answer?

Always ask yourself: "Does my answer make the original equation true?" Plug your number back in where the box was and see if both sides are equal!

Is there another way to think about this problem?

Yes! You can think of it as: "What number plus 1000 equals 2000?" This helps you understand that you're looking for the difference between 2000 and 1000.

What if the numbers were different, like 500 + □ = 1200?

The same process works! Subtract the number being added from the total: $\Box = 1200 - 500 = 700$ . Then check: $500 + 700 = 1200$ ✓

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