Question

Choose one or more conversion factors that can best be used to convert 50 (km)/(Myr)(kilometers per million years) to (cm)/(yr) (centimeters per year).

(100 cm)/(1 m)
(1 Myr)/(1000000yr)
(1000 m)/(1 km)
(1 km)/(1000 m)
(1min)/(60sec)
(60 min)/(1 hr)
(1hr)/(60 min)


Now convert 50 (km)/(Myr)to _______(cm)/(yr). (cm)/(yr)

Answer 1

Answer: 50 km/Myr= 5 cm/yr

Explanation:

We know that 1 km = 1000 m

And 1m = 100 cm

Therefore, 1 km = 100,000 m

Also, 1 million = 1,000,000

Therefore, 1 km/ Myr=
`(100,000\ cm)/(1,000,000\ year)=(1)/(10)\ cm/yr`

`1km/Myr=(1)/(10)cm/yr\\\Rightarrow\ 50\ km/Myr=(1)/(10)*50\\\Rightarrow\ 50\ km/Myr=5\ cm/yr`

Hence, 50 km/ Myr = 5 cm/yr

Answer 2

1) (100 cm)/(1 m), (1000 m)/(1 km), (1 Myr)/(1000000yr) and (1 km)/(1000 m)
2) Now convert 50 (km)/(Myr)to (cm)/(yr).5 (cm)/(yr)
proof
50 (km)/(Myr)= 50,000m/1,000,000yr=5,000,000cm/1,000,000yr=5cm/yr