Question #8466e

2 Answers
Sep 26, 2016

#118"km"/"hr"=118xx(1km)/(1hr)#

#=118xx(1000m)/(60xx60s)#

#=(118xx1000)/(60xx60)m/s#

#~~32.7"m/s"#

Sep 26, 2016

#"118 km/h=37.8 m/s"# to three significant figures

Explanation:

First identify the equalities.

#"1 km=1000 m"#

#"1 h=3600 s"#

Multiply 118 km/h by the equalities in such a way as to cancel km/h, leaving m/s.

#(118cancel"km")/(1cancel"h")xx(1000"m")/(1cancel"km")xx(1cancel"h")/(3600"s")="32.777...m/s"##=##"37.8 m/s"# (rounded to three significant figures)