Question

Convert 3 * 10 raise to power 8 m per second to kilometres per hour​

Answer 1

`\huge\boxed{3\cdot10^8(m)/(s)=1.08\cdot10^9(km)/(h)}`

Explanation:

`3\cdot10^8(m)/(s)\\\\1km=1,000m\to1m=0.001km\\1h=3,600s\to1s=(1)/(3600)h`

therefore

`3\cdot10^8(m)/(s)=3\cdot100,000,000\cdot((1)/(1000)km)/((1)/(3600)s)=300,000,000\cdot(1)/(1000)\cdot(3600)/(1)(km)/(h)\\\\=(300,000,000\cdot3,600)/(1,000)(km)/(h)=300,000\cdot3,600(km)/(h)=1,080,000,000(km)/(h)\\\\=1.08\cdot10^9(km)/(h)`