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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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2.9x10^10 + 5.35x10^10

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Other answers:

  • phi
your problem is like a*x + b*x factor out the x (a+b) * x in your case the "decimals" are like a and b, and x is like 10^10
|dw:1442260989838:dw|
  • phi
yes, I know. Do you know how to "factor out" 10^10 ?
no
  • phi
ok do you know how to distribute the 10 in this: 10* ( 2 + 3) ?
  • phi
10*(2+3) can be written as 10*2 + 10*3 factoring out 10 "undoes" that we want to do that with your problem \[ 2.9\cdot10^{10} + 5.35\cdot10^{10}= (2.9+5.35) \cdot 10^{10} \]
  • phi
now use order of operations: do the operation inside the parens (i.e. add)
ok
my answer is 82.5x10^11
  • phi
what do you get when you add 2.9 and 5.35
8.25
  • phi
8.25 so 8.25 * 10^10 if you want this in scientific notation, then you want the number "out front" to be 1 or bigger , but less than 10 8.25 is bigger than 1 and smaller than 10 so it's ok \[ 8.25 \cdot 10^{10} \]
do you want me to time it
  • phi
?
82.5x10^11
  • phi
you mean write it as 8.5x10^10 (with an "x" ?) I used a dot (or *) because in algebra we use x for variables. but anyway you write it , it means the same thing. 8.25 times 10^10 the answer is not 82.5 x 10^11 the answer is 8.25 x 10^10 which can be written as 82.5 x 10^9 (but this is *not* scientific notation because 82.5 is too big)
that my answer is 8.25 x 10^10
  • phi
yes
ok

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