Question

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

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:

1. D. $1.30\times10^{10}$
2. J. cm
3. B. $1.30\times10^{8}$
4. K. m