sissyedgar
  • sissyedgar
What is 4.6 × 10^8 cm/min in meters per hour? A. 2.76 × 10^8 m/h B. 2.76 × 10^10 m/h C. 7.67 × 10^6 m/h D. 7.67 × 10^8 m/h
Mathematics
jamiebookeater
  • jamiebookeater
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sissyedgar
  • sissyedgar
triciaal
  • triciaal
need 2 step conversion
sissyedgar
  • sissyedgar
right, cm to meter min 2 hour

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triciaal
  • triciaal
cm to m and min to hr
triciaal
  • triciaal
it does not matter which one you do first but pay attention to the conversion factor
sissyedgar
  • sissyedgar
1 meter = 100 cm
sissyedgar
  • sissyedgar
1 hour = 60 minutes
triciaal
  • triciaal
correct
triciaal
  • triciaal
I would do min to hr first
triciaal
  • triciaal
remember when you multiply numbers with the same base add the exponents when you divide numbers with the same base subtract the exponents
sissyedgar
  • sissyedgar
right.
sissyedgar
  • sissyedgar
still dont kno wat 2 do 1st in converision! @Shalante
Jack1
  • Jack1
4.6 × 10^8 cm/min \(\Large= \frac{4.6 × 10^8 ~cm}{1~ min} \) so first: convert from minutes to hours \(\Large= \frac{4.6 × 10^8 ~cm}{1~ min} ~ \times ~ \frac {60~mins}{1~hr}~ =~ \frac {4.6 × 10^8 × 60 ~cm}{1~hr}\) now you have an answer in cm per hour... so convert this to centimeters to meters \(\Large= \frac {4.6 × 10^8 × 60 ~cm}{1~hr} ~ \times ~ \frac {1~m}{1000~cm}~ =~ \frac {4.6 × 10^8 × 60 ~m}{1000~hrs}\) now expand it out: \(\Large= \frac {4.6 × 10^8 × 60 ~m}{1000~hrs} = \frac {27600000000~m}{1000~hrs}\) now reduce it down to scientific notation... can you do that from here?

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