Usd To Aud 2Ea0A8

1. **State the problem:** We want to convert $80$ US dollars (USD) to Australian dollars (AUD). 2. **Given conversion rates:** - $1\ \text{USD} = 1.0343\ \text{AUD}$ - $1\ \text{AUD} = 0.9668\ \text{USD}$ 3. **Conversion principle:** To convert from USD to AUD, multiply the amount in USD by the conversion factor that cancels USD and leaves AUD. 4. **Analyze each option:** - Option 1: $80\ \text{USD} \times \frac{0.9668\ \text{USD}}{1\ \text{AUD}}$ - Units: USD $\times$ USD/AUD = USD$^2$/AUD (incorrect units) - Option 2: $80\ \text{USD} \times \frac{1.0343\ \text{US}}{1\ \text{AUD}}$ - Units: USD $\times$ USD/AUD = USD$^2$/AUD (incorrect units and typo in "US") - Option 3: $80\ \text{USD} \times \frac{0.9668\ \text{AUD}}{1\ \text{USD}}$ - Units: USD $\times$ AUD/USD = AUD (correct units) - This uses the conversion factor $\frac{0.9668\ \text{AUD}}{1\ \text{USD}}$ which is the reciprocal of $1\ \text{AUD} = 0.9668\ \text{USD}$, so it correctly converts USD to AUD. - Option 4: $80\ \text{USD} \times \frac{1.0343\ \text{AUD}}{1\ \text{USD}}$ - Units: USD $\times$ AUD/USD = AUD (correct units) - This uses the direct conversion $1\ \text{USD} = 1.0343\ \text{AUD}$, so it also correctly converts USD to AUD. 5. **Check numerical correctness:** - Since $1\ \text{USD} = 1.0343\ \text{AUD}$, multiplying $80$ USD by $1.0343$ AUD/USD gives the amount in AUD. 6. **Conclusion:** The correct expression to convert $80$ USD to AUD is: $$80\ \text{USD} \times \frac{1.0343\ \text{AUD}}{1\ \text{USD}}$$ This matches option 4. **Final answer:** Option 4: $80\ \text{USD} \times \frac{1.0343\ \text{AUD}}{1\ \text{USD}}$