Question

question 3
the distance from washington, d.c., to san diego, california, is 3,652.71 km.
this distance written in scientific notation in meters is km.
check answer remaining attempts : 3
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Explanation:

Step1: Convert km to m

Since 1 km = 1000 m, then 3652.71 km = 3652.71×1000 m=3652710 m.

Step2: Write in scientific - notation

Scientific notation is of the form \(a\times10^{n}\), where \(1\leqslant a<10\) and \(n\) is an integer. For 3652710, \(a = 3.65271\) and \(n = 6\) (because we move the decimal point 6 places to the left). So the distance in scientific notation in meters is \(3.65271\times 10^{6}\) m. But the question asks for the answer in km. Since we converted from km to m initially, we don't need to do further conversion for the scientific - notation form in km. The distance in scientific notation in km is \(3.65271\times 10^{3}\) km.

Answer:

\(3.65271\times 10^{3}\)