Answer:
The audio cable is 1.59 m long.
Solution:
Given, the length of audio cable is 15.9 dm
To find, the length of the cable in meters.
One decimeter is
meters, i.e. 1 dm =
![10^(-1) m = (1)/(10) m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xn4xbypv0rflrknasvmrfyvtcvzsxg0jpc.png)
So, in order to convert decimeter to meter, we have to multiply the given decimeter value by
or
![(1)/(10) m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qo48idn8lgevkxtlymjuqgcddr9nm1e5qg.png)
Length of the audio cable is
![15.9*(1)/(10) = 1.59 meters](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6mfq3avcp6je0jgehorptp5zl2fu1410we.png)
Or
![15.9*10^(-1)=1.59 meters](https://img.qammunity.org/2020/formulas/mathematics/middle-school/czgopgtug31i2aajfbezzi6bz2wiz9qx3h.png)
the audio cable is 1.59 m long.