Solve the Subtraction Equation: 9816 - □ = 9016

Q: Why do I rearrange the equation instead of just guessing?

Rearranging gives you the exact answer every time! Guessing might work for simple numbers, but it's unreliable and wastes time on harder problems.

Q: What's the difference between minuend, subtrahend, and difference?

In $ 9816 - 800 = 9016 $: 9816 is the minuend (starting number), 800 is the subtrahend (number being subtracted), and 9016 is the difference (result).

Q: How can I remember which number to subtract from which?

Think of it as: "What do I take away from the big number to get the smaller result?" Always subtract the smaller number from the larger number when both are given.

Inverse Operations with Missing Subtrahends

Complete the following equation:

$9816-\Box=9016$

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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:

$9816-\Box=9016$

Step-by-step solution

To solve this problem, we will determine the missing number that, when subtracted from 9816, results in 9016.

Step 1: Apply the rearranged subtraction formula:
We know that $9816 - \Box = 9016$ . We can find $\Box$ by rearranging the equation to get:
$\Box = 9816 - 9016$ .

Step 2: Perform the subtraction calculation:
Calculate the difference: $9816 - 9016 = 800$ .

Therefore, the number that should fill the box is $800$ .

Final Answer

$800$

Key Points to Remember

Essential concepts to master this topic

Rule: To find missing subtrahend, rearrange to subtrahend equals minuend minus difference
Technique: From 9816 - □ = 9016, calculate □ = 9816 - 9016 = 800
Check: Substitute back into original equation: 9816 - 800 = 9016 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting to find the missing number
Don't add 9816 + 9016 = 18832! This gives a huge wrong answer because you're going in the wrong direction. Always remember: to find the missing subtrahend, subtract the difference FROM the minuend.

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 rearrange the equation instead of just guessing?

Rearranging gives you the exact answer every time! Guessing might work for simple numbers, but it's unreliable and wastes time on harder problems.

What's the difference between minuend, subtrahend, and difference?

In $9816 - 800 = 9016$ : 9816 is the minuend (starting number), 800 is the subtrahend (number being subtracted), and 9016 is the difference (result).

How can I remember which number to subtract from which?

Think of it as: "What do I take away from the big number to get the smaller result?" Always subtract the smaller number from the larger number when both are given.

What if I get a negative answer?

Check your setup! In subtraction problems like this, if you're getting negative numbers, you might have switched the order of your subtraction. The missing subtrahend should always be positive.

Can I use addition to check my answer?

Yes! After finding the missing number, you can check by adding: $9016 + 800 = 9816$ . If this equals your original minuend, you're correct!

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