Danny played 46 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, he played another 23 consecutive games. What is the percent of decrease in the number of consecutive games he played?

To find the percent decrease in the number of consecutive games Danny played, we need to compare the initial number of games to the subsequent number of games.

1. **Initial number of consecutive games played:** 46 games
2. **Subsequent number of consecutive games played:** 23 games

The formula to calculate the percent decrease is:

\[
\text{Percent Decrease} = \frac{\text{Initial Value} - \text{New Value}}{\text{Initial Value}} \times 100\%
\]

Substituting the given values:

\[
\text{Percent Decrease} = \frac{46 - 23}{46} \times 100\%
\]

Simplify the calculation:

\[
\text{Percent Decrease} = \frac{23}{46} \times 100\%
\]

\[
\text{Percent Decrease} = 0.5 \times 100\% = 50\%
\]

So, the percent decrease in the number of consecutive games Danny played is **50%**.

Would you like more details or have any questions? Here are some related questions:

1. How do you calculate percentage increase?
2. What is the difference between percentage decrease and percentage difference?
3. Can you explain how to interpret percent changes in different contexts?
4. How do you handle multiple percentage changes in a sequence?
5. What are some common mistakes people make when calculating percentages?

**Tip:** When calculating percentage changes, always ensure you subtract in the correct order (initial value minus new value) to avoid confusion.

Learn how to calculate percent decrease using Danny's consecutive soccer games as an example. Understand the formula for percent decrease and apply it step-by-step to solve the problem. Suitable for Grades 6-8.

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