93 Million Miles To Meters

how does one convert 93 million miles to meters using (A)power of ten and (B)a metric prefix?

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This uses unit-analysis, a skillset of dimensional analysis.

93000000 miles -> ? m

Convert to scientific notation

`9.3\times10^7 mi`

It is known that `10^-2 m = 1 cm`

`2.54cm = 1 \text(in)` exactly.

`1.2\times10^1 \text(in) = 1 ft` exactly.

`5.280\times10^3 ft = 1 mi` exactly.

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chaobas | Student

we know that 1 mile = 1609.34 meter, so

 

93 million miles * (1609.34 meter/ 1miles)

=149668992000 meter

=1.5*10^11 meter

 

B. 1 giga = 10^9

so 

93 million miles = 149668992000 meter = 150 gigameter