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Published byMonica Gordon Modified over 8 years ago
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How many Kilometers are in 3.46 x 10 13 mm?
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First, write what you are given.
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In dimensional analysis, we always multiply.
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Write the units you want to get rid of on the bottom of the next term.
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Write the units you want to factor in on the top.
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We will not convert directly from mm to km. We will go “ through the basic unit ” which in this case is m.
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We will write a “ 1 ” in front of the unit with the prefix which in this case is mm.
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We will write a “ 1 ” in front of the unit with the prefix which in this case is mm.
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Now we use the memorized conversion between mm and m 1mm = 10 -3 m.
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We are ready to perform the last step. The basic unit which we want to factor out goes on the bottom
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We are ready to perform the last step. The basic unit which we want to factor out goes on the bottom
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The units we are factoring in, km, goes on top
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Put a 1 in front of the unit with a prefix, km,
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and put the power of ten from the conversion 1 km =10 3 m in front of the basic unit.
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