1 mile-5289 feet 1 foot= 12 inches 1 inch=2.54 centimetres find the percentage error in converting miles to kilometres using the approximate conversion 5 miles= 8 kilometres ?

1 Answer
Apr 7, 2018

#0.75%#

Explanation:

.

If we use #5# miles is #=8# kilometers:

#5# miles #=8# kilometers

#5/5=8/5#

#1# mile is #=1.6# kilometers #=1.6(1000)=1600# meters #=1600(100)=160000# centimeters

If we use #1# mile #=5289# feet:

#1# mile is #=5289# feet #=5289(12)=63468# inches #=63468(2.54)=161208.72# centimeters

The error is:

#161208.72-160000=1208.72# centimeters

Error percentage is #=1208.72/161208.72(100)=0.75#