What is 96,989,200 written in scientific notation? A. 96.9892 × 10 B. 9.69892 × 10 C. 9.69892 × 10 D. 9.69892 × 10

Step 1: Break Down the Problem

We need to convert the number 96,989,200 into scientific notation. Scientific notation expresses numbers as the product of a coefficient and a power of ten.

Step 2: Relevant Concepts

The scientific notation format is: $N = a \times 10^n$ where $1 \leq a < 10$ and $n$ is an integer.

Step 3: Analysis and Detail

1. Identify the coefficient: The coefficient $a$ should be a number between 1 and 10. For 96,989,200:

   • Move the decimal point left until only one non-zero digit is to the left.
   • The number becomes 9.69892.

2. Count the decimal places moved:

   • The decimal is initially after 0 in 96,989,200. Moving it 7 places to the left gives us $n = 7$.

Step 4: Verify and Summarize

The number in scientific notation is: $9.69892 \times 10^7$ This matches the structure $a \times 10^n$ where $a = 9.69892$ and $n = 7$.

Final Answer

The correct representation of 96,989,200 in scientific notation is: $9.69892 \times 10^7$ Thus, the correct answer is C: $9.69892 \times 10$.