Exponential Notation Cdd05A

1. **Problem:** Write the given number in exponential notation. 2. **Formula:** Exponential notation expresses a number as $$a \times 10^n$$ where $a$ is a number between 1 and 10, and $n$ is an integer. 3. **Steps:** - Identify the decimal point position in the number. - Move the decimal point to create a number $a$ such that $1 \leq a < 10$. - Count the number of places $n$ the decimal point was moved. - If the decimal point moves to the left, $n$ is positive. - If the decimal point moves to the right, $n$ is negative. - Write the number as $$a \times 10^n$$. 4. **Example:** - Suppose the number is $4500$. - Move the decimal point 3 places to the left: $4.5$. - So, $n = 3$. - Exponential notation: $$4.5 \times 10^3$$. 5. **Explanation:** Exponential notation is a compact way to write very large or very small numbers by using powers of ten. q_count: 1