Question

question 3 (1 point) listen convert 3.80 × 10⁹ cg to kg. 3.80 × 10⁵ kg 3.80 × 10³ kg 3.80 × 10⁴ kg 3.80 × 10² kg

Explanation:

Step1: Define unit conversion factors

Recall that $1\ \text{kg} = 10^3\ \text{g}$ and $1\ \text{g} = 10^2\ \text{cg}$, so $1\ \text{kg} = 10^5\ \text{cg}$, or $\frac{1\ \text{kg}}{10^5\ \text{cg}} = 1$.

Step2: Set up conversion calculation

Multiply the given value by the conversion factor:
$$3.80 \times 10^9\ \text{cg} \times \frac{1\ \text{kg}}{10^5\ \text{cg}}$$

Step3: Simplify the expression

Subtract exponents when dividing powers of 10:
$$3.80 \times 10^{9-5}\ \text{kg} = 3.80 \times 10^4\ \text{kg}$$

Answer:

3.80 x 10⁴ kg (Option B)