Question

Anna wants to buy a one carat diamond. One carat equals 200 mg. If a diamond is 0.600 carat, what is the mass of the diamond in ounces?

1 kg=2.205 pounds
1 pound=16 ounces

Answer 1

The mass of the diamond is 7.056 × 10⁻³ oz.

No. of grams = 1 ct × (200 mg/1 ct) × (1 g/1000 mg) = 0.2 g

No. of pounds = 0.2 g × (1 kg/1000 g) × (2.205 lb/1 kg) = 4.410 × 10⁻⁴ lb

No. of ounces = 4.410 × 10⁻⁴ lb × (16 oz/1 lb) = 7.056 × 10⁻³ oz