https://file.aiquickdraw.com/mathbot/file/1729431168915spi3jpk6.jpg

The summation shown in the image is:

\[
\sum_{i=1}^{10} 8
\]

This represents a constant sum, where the value "8" is added for each value of \(i\) from 1 to 10. Since 8 is a constant, you can simply multiply 8 by the number of terms in the summation.

The number of terms is from \(i = 1\) to \(i = 10\), so there are 10 terms.

Thus, the sum is:

\[
\sum_{i=1}^{10} 8 = 8 \times 10 = 80
\]

Would you like any further details, or do you have any other questions?

Here are 5 related questions to expand on this:

1. What is a general formula for the sum of a constant over \(n\) terms?
2. How does the summation change if the constant is not 8 but any other number?
3. Can you explain the difference between summing a constant and summing a variable term?
4. How does this concept apply when summing arithmetic series or geometric series?
5. What would happen if the lower limit of summation changed from 1 to another number, like 5?

**Tip:** When dealing with constant summations, the sum is always the product of the constant and the number of terms in the summation.

Use the properties of summation and the Summation Formulas Theorem to evaluate the sum: Σ (from i = 1 to 10) of 8.

Learn how to evaluate the sum of a constant using the summation properties and formula. This example shows how to sum the constant 8 from i = 1 to 10, providing a clear step-by-step solution. Suitable for students in Grades 7-9.

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