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How many inches are there in 3.00 km ? Given that 1 km = 1000 m, 1 m = 1.094 yd, 1 yd = 36 in. |
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Answer» Solution :The UNIT conversion factors will be : `1=(1000M)/(1km)=(1km)/(1000m),""1=(1.094yd)/(1 m)=(1m)/(1.094yd),""1=(36"in")/(1yd)=(1yd)/("36 in")` Here, the conversion involves a number of steps. Hence, the unit conversion factors are applied in such a WAY that the units of the PRECEDING factor cancel out. Thus, `3.00km=3.00 cancel(km)xx(1000cancelm)/(1cancel(km))xx(1.094cancel(yd))/(1cancelm)xx("36 in")/(1 cancel(yd))=1.18xx10^(5)" in".` Note that the answer has been reported to contain THREE significant figures (because 1000 m and 36 in. are exact numbers). |
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