anonymous
  • anonymous
What is the product written in scientific notation? (4.5 * 10^-8) ( 6*10^-4) A.2.7 * 10^32 B. 2.7 * 10^-13 C. 2.7 * 10^-12 D. 2.7 * 10^-11
Mathematics
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anonymous
  • anonymous
What is the product written in scientific notation? (4.5 * 10^-8) ( 6*10^-4) A.2.7 * 10^32 B. 2.7 * 10^-13 C. 2.7 * 10^-12 D. 2.7 * 10^-11
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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welshfella
  • welshfella
fist multiply the first parts of the numbers 4.5 * 6 = ?
welshfella
  • welshfella
what does that come to?
anonymous
  • anonymous
27

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welshfella
  • welshfella
right
welshfella
  • welshfella
now multiply 10/6-8 * 10^-4 add the exponents -8 and -4
welshfella
  • welshfella
* 10^-8 * 10*-4
anonymous
  • anonymous
-12
welshfella
  • welshfella
ok that gives us 27 * 10^-12 but this is not scientific notation the first part must have a value between 1 and 10
welshfella
  • welshfella
so we divide the first part by 10 and , in order to maintain the correct value, multiply the exponent part by 10
anonymous
  • anonymous
Add a decimal?
anonymous
  • anonymous
To get 2.7
welshfella
  • welshfella
2.7 / 10 = ? 10^-12 * 10^1 = ?
welshfella
  • welshfella
yes 2.7 is correct for first part
anonymous
  • anonymous
2.7 / 10 = 0.27
welshfella
  • welshfella
10^-12 * 10^1 we ADD the exponents 10^-12 * 10^1 = 10^(-12+1) = ?
anonymous
  • anonymous
-11
welshfella
  • welshfella
No 27 / 10 = 2.7 is correct for first part (2.7 is between 1 and 10)
welshfella
  • welshfella
-11 is right so what is the correct option?
anonymous
  • anonymous
D
welshfella
  • welshfella
yep
anonymous
  • anonymous
Thank you! ^-^/
welshfella
  • welshfella
yw
welshfella
  • welshfella
general form for scientific notation is N * 10^n where N is a number between 1 and 10 ( not including 10)

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