Question

using the table of equalities, calculate the number of centimeters (cm) in 63.8 meters (m). remember to select an answer with the correct number of significant figures.
metric and si prefixes
prefix symbol numerical value scientific notation equality
prefixes that increase the size of the unit
peta p 1 000 000 000 000 000 10^15 1 pg = 10^15 g 1 g = 10^-15 pg
etera t 1 000 000 000 000 10^12 1 tg = 10^12 g 1 g = 10^-12 tg
giga g 1 000 000 000 10^9 1 gm = 10^9 m 1 m = 10^-9 gm
mega m 1 000 000 10^6 1 mg = 10^6 g 1 g = 10^-6 mg
kilo k 1 000 10^3 1 km = 10^3 m 1 m = 10^-3 km
prefixes that decrease the size of the unit

Explanation:

Step1: Recall the conversion factor

We know that 1 m = 100 cm or $1\ m=10^{2}\ cm$.

Step2: Set up the conversion

To convert 63.8 m to cm, we multiply 63.8 m by the conversion factor $\frac{100\ cm}{1\ m}$. So, $63.8\ m\times\frac{100\ cm}{1\ m}=63.8\times100\ cm$.

Step3: Calculate the result

$63.8\times100 = 6380\ cm$. In scientific - notation, this is $6.38\times10^{3}\ cm$.

Answer:

$6.38\times 10^{3}$ centimeters