Solve the Equation: Finding the Missing Number in 3030 - □ = 3020

Q: Why do I subtract 3020 from 3030 instead of the other way around?

Think of it as "What do I need to take away from 3030 to get 3020?" The missing number is the difference, so you subtract the smaller result (3020) from the larger starting number (3030).

Q: What if I get confused about which number to subtract from which?

Remember the pattern: Starting Number - Missing Number = Result. So Missing Number = Starting Number - Result. In this case: □ = 3030 - 3020.

Q: Is there a faster way to solve this without rearranging?

You can think of it as "counting up" from 3020 to 3030. How many do you need to add? 3020 + 10 = 3030, so the answer is 10!

Q: Why is 30 or 300 wrong?

Let's check: $ 3030 - 30 = 3000 $ (not 3020!) and $ 3030 - 300 = 2730 $ (way too small!). Only 10 gives us exactly 3020.

Subtraction Equations with Missing Subtrahends

Complete the following equation:

$3030-\Box=3020$

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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:

$3030-\Box=3020$

Step-by-step solution

To solve this problem, we need to determine the number that, when subtracted from 3030, gives us 3020.

Let's follow these steps:

Step 1: Set up the equation $3030 - \Box = 3020$ .
Step 2: To find the value of $\Box$ , we rearrange the equation: $\Box = 3030 - 3020$ .
Step 3: Perform the subtraction: $3030 - 3020 = 10$ .

Therefore, the number that completes the equation is $10$ .

Final Answer

$10$

Key Points to Remember

Essential concepts to master this topic

Rule: Rearrange $a - x = b$ to $x = a - b$
Technique: Transform 3030 - □ = 3020 into □ = 3030 - 3020 = 10
Check: Substitute back: 3030 - 10 = 3020 matches the original equation ✓

Common Mistakes

Avoid these frequent errors

Adding instead of subtracting to find the missing value
Don't add 3030 + 3020 = 6050! This gives a number way too large because you're combining instead of finding the difference. Always subtract the result from the starting number: 3030 - 3020 = 10.

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 3020 from 3030 instead of the other way around?

Think of it as "What do I need to take away from 3030 to get 3020?" The missing number is the difference, so you subtract the smaller result (3020) from the larger starting number (3030).

How can I check if my answer is correct?

Simply substitute your answer back into the original equation! If you get $3030 - 10 = 3020$ , and that's true, then 10 is correct.

What if I get confused about which number to subtract from which?

Remember the pattern: Starting Number - Missing Number = Result. So Missing Number = Starting Number - Result. In this case: □ = 3030 - 3020.

Is there a faster way to solve this without rearranging?

You can think of it as "counting up" from 3020 to 3030. How many do you need to add? 3020 + 10 = 3030, so the answer is 10!

Why is 30 or 300 wrong?

Let's check: $3030 - 30 = 3000$ (not 3020!) and $3030 - 300 = 2730$ (way too small!). Only 10 gives us exactly 3020.

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