Express your answer in the smaller un \( 1 \mathrm{~km} 431 \mathrm{~m}+13 \mathrm{~km} \mathrm{169} \mathrm{m} \)

To express the sum of \( 1 \text{ km} 431 \text{ m} + 13 \text{ km} 169 \text{ m} \) in the smaller unit (meters), we first convert everything to meters. 1 kilometer (km) is equal to 1000 meters (m). Now, let's convert each distance to meters: - For \( 1 \text{ km} 431 \text{ m} \): \[ 1 \text{ km} = 1000 \text{ m} \quad \Rightarrow \quad 1 \text{ km} 431 \text{ m} = 1000 \text{ m} + 431 \text{ m} = 1431 \text{ m} \] - For \( 13 \text{ km} 169 \text{ m} \): \[ 13 \text{ km} = 13 \times 1000 \text{ m} = 13000 \text{ m} \quad \Rightarrow \quad 13 \text{ km} 169 \text{ m} = 13000 \text{ m} + 169 \text{ m} = 13169 \text{ m} \] Now, we can add the two distances together: \[ 1431 \text{ m} + 13169 \text{ m} = 14500 \text{ m} \] Thus, the final answer is: \[ \boxed{14500 \text{ m}} \]