The average of 20242024 and an unknown number is 212.212. What is the unknown number?

To find the unknown number \( x \) when the average of \( 20242024 \) and \( x \) is \( 212.212 \), we can use the formula for the average:

\[
\text{Average} = \frac{20242024 + x}{2} = 212.212
\]

1. Multiply both sides by 2 to eliminate the fraction:

\[
20242024 + x = 212.212 \times 2
\]

2. Calculate \( 212.212 \times 2 \):

\[
212.212 \times 2 = 424.424
\]

3. Subtract \( 20242024 \) from both sides to solve for \( x \):

\[
x = 424.424 - 20242024
\]

4. Perform the subtraction:

\[
x = 424.424 - 20242024 = -20241599.576
\]

Therefore, the unknown number is \(-20241599.576\).

Would you like further details or have any questions?

Here are some related questions:

1. How do you calculate the average of two numbers?
2. What steps should you follow to isolate a variable in an equation?
3. Why is it important to perform arithmetic operations correctly?
4. How can you verify the solution to an average problem?
5. What are some real-life applications of average calculations?
6. How does subtracting large numbers affect the precision of the result?
7. What methods can you use to avoid calculation errors?
8. How can understanding averages help in data analysis?

**Tip:** When dealing with large numbers and averages, ensure you handle arithmetic operations with care to maintain accuracy.

Learn how to find the unknown number when its average with 20242024 is 212.212. This problem involves arithmetic operations and solving equations step-by-step. Suitable for students in Grades 6-8.

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