Question

express the following in scientific notation: .000457; 457 × 10⁻⁶; 4.57 × 10⁴; 457 × 10⁶; 4.57 × 10⁻⁴

Explanation:

Step1: Recall scientific notation rules

Scientific notation is $a \times 10^n$, where $1 \leq |a| < 10$, and $n$ is an integer.

Step2: Rewrite the given number

For $0.000457$, move the decimal 4 places right to get $a=4.57$. Since we moved right (small number), $n=-4$.

Step3: Match with options

The correct form is $4.57 \times 10^{-4}$.

Answer:

4.57 x 10⁻⁴