Question

how do you write 0.00015 in scientific notation?
15 × 10⁻³ 1.5 × 10⁻³ 0.15 × 10⁻⁴ 1.5 × 10⁻⁴

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Rewrite 0.00015

Move the decimal point to the right until we get a number between 1 and 10. We move it 4 places to the right to get 1.5. Since we moved the decimal to the right, the exponent \( n \) is negative, and \( n=-4 \). So \( 0.00015 = 1.5 \times 10^{-4} \).

Answer:

D. \( 1.5 \times 10^{-4} \) (assuming the options are labeled A: \( 15 \times 10^{-3} \), B: \( 1.5 \times 10^{-3} \), C: \( 0.15 \times 10^{-4} \), D: \( 1.5 \times 10^{-4} \))