Question

Convert 52.3 KG to MG using scientific notation with 3 digits.

a) 5.23×10⁴ MG
b) 5.23×10⁶ MG
c) 5.23×10³ MG
d) 5.23×10⁵ MG

Answer 1

To convert 52.3 kg to milligrams, you would multiply by 1,000,000, resulting in 5.23 × 10⁸ mg. The correct answer in scientific notation with three significant digits is 5.23 × 10⁸ mg.

Step-by-step explanation:

To convert 52.3 kg to milligrams (mg) using scientific notation with three significant digits, we first need to understand the relationship between kilograms and milligrams. 1 kilogram equals 1,000,000 milligrams (1 kg = 10³ g = 10³ × 10³ mg = 10⁶ mg). Therefore, to convert 52.3 kg to milligrams, we would multiply 52.3 by 1,000,000 (10⁶). Performing this calculation:

52.3 kg × 10⁶ mg/kg = 52.3 × 10⁶ mg = 5.23 × 10± × 10⁶ mg = 5.23 × 10⁸ mg

So, the correct answer written in scientific notation with three significant digits is 5.23 × 10⁸ mg, which corresponds to option b.