Questions: E. Which of the following is written in scientific notation correctly? A. 0.45 × 10^-3 B. 9.03 × 10^8 C. 8.4 × 10^6 D. 0.00056 G. Express each number in standard notation:

Solution Steps

To determine which of the given options is written in scientific notation correctly, we need to check if the number is in the form \( a \times 10^n \) where \( 1 \leq a < 10 \) and \( n \) is an integer.

1. Check each option to see if it is in the form \( a \times 10^n \) with \( 1 \leq a < 10 \).
2. Identify the correct option(s).

To determine if a number is written in scientific notation correctly, it must be in the form \( a \times 10^n \) where \( 1 \leq a < 10 \) and \( n \) is an integer.

Let's evaluate each option to see if it meets the criteria for scientific notation:

• Option A: \( 0.45 \times 10^{-3} \)
  • Here, \( a = 0.45 \), which is not in the range \( 1 \leq a < 10 \).
• Option B: \( 9.03 \times 10^{8} \)
  • Here, \( a = 9.03 \), which is in the range \( 1 \leq a < 10 \).
• Option C: \( 8.4 \times 10^{6} \)
  • Here, \( a = 8.4 \), which is in the range \( 1 \leq a < 10 \).
• Option D: \( 0.00056 \)
  • This is not in the form \( a \times 10^n \) at all.

Final Answer