Question

in scientific notation, what is the product of 4 and 0.000 000 82 ?
a 3.28 × 10⁻⁷
b 3.28 × 10⁻⁶
c 3.6 × 10⁻⁸
d 3.6 × 10⁻⁷

Explanation:

Step1: Convert to scientific notation

0.00000082 = $8.2 \times 10^{-7}$; 4 = $4 \times 10^0$

Step2: Multiply coefficients and exponents

Coefficients: $4 \times 8.2 = 32.8$; Exponents: $10^0 \times 10^{-7} = 10^{-7}$

Step3: Adjust to proper scientific notation

$32.8 \times 10^{-7} = 3.28 \times 10^{-6}$

Answer:

B. $3.28 \times 10^{-6}$