how many m in 5.10 x 10^9 inches? use 2.54 cm = 1 in. note, this is set up as a two - step problem. the…

how many m in 5.10 x 10^9 inches? use 2.54 cm = 1 in. note, this is set up as a two - step problem. the intermediate answer is numerically __1__ and the units are __2__. the final answer is numerically __3__ and the units are __4__. a. 5.10 x 10^9 b. 1.30 x 10^8 c. 1.30 x 10^9 d. 1.30 x 10^10 e. 2.01 x 10^9 f. 2.01 x 10^8 g. 2.01 x 10^10 h. 2.01 x 10^9 i. in j. cm k. m l. km
Answer
Explanation:
Step1: Convert inches to cm
We know that 1 in = 2.54 cm. So for 5.10×10⁹ inches, the length in cm is $(5.10\times10^{9}\text{ in})\times(2.54\text{ cm/in}) = 1.30\times10^{10}\text{ cm}$.
Step2: Convert cm to m
Since 1 m = 100 cm or 1 cm=$10^{- 2}$m. So the length in m is $(1.30\times10^{10}\text{ cm})\times(10^{-2}\text{ m/cm})=1.30\times10^{8}\text{ m}$.
Answer:
- D. $1.30\times10^{10}$
- J. cm
- B. $1.30\times10^{8}$
- K. m