is3535
  • is3535
so hard help
Mathematics
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is3535
  • is3535
so hard help
Mathematics
schrodinger
  • schrodinger
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is3535
  • is3535
|dw:1442255160636:dw|
is3535
  • is3535
is3535
  • is3535

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is3535
  • is3535
freckles
  • freckles
hello
is3535
  • is3535
hey
freckles
  • freckles
\[\frac{2 \times 10^{21}}{8 \times 10^3} =\frac{2}{8} \times \frac{10^{21}}{10^3} \\ \text{ first step : write } \frac{2}{8} \text{ as a decimal } \\ \text{ second step : write } \frac{10^{21}}{10^3} \text{ as } 10^\text{some number } \\ \text{ using law of exponents } \\ \text{ after performing these two steps I have one more for ya }\]
is3535
  • is3535
2/8 in decimal is 0.25
freckles
  • freckles
ok good and what does 10^(21)/10^3 simplify to in the form I asked
is3535
  • is3535
i dont getit
freckles
  • freckles
do you know law of exponents?
freckles
  • freckles
\[\frac{x^n}{x^m}=x^{n-m} \\ \text{ so } \\ \frac{10^{21}}{10^3}=?\]
is3535
  • is3535
1⋅1018
freckles
  • freckles
not too sure how you got that from the rule I just listed
freckles
  • freckles
\[\frac{x^n}{x^{m}}=x^{n-m} \\ \frac{10^{21}}{10^3}=10^{21-3}=10^?\] what is 21-3 ?
is3535
  • is3535
18
freckles
  • freckles
ok \[\frac{2 \times 10^{21}}{8 \times 10^{3}}=.25 \times 10^{18} \\ \text{ now to write in scientific notation } \\ \text{ you want to make sure there is 1 digit to the left of the decimal } \\ \text{ this digit cannot be 0 }\]
freckles
  • freckles
\[.25 \times 10^{18}=2.5 \times 10^?\] so we need to figure out what this ? needs to be and we are done
is3535
  • is3535
17
freckles
  • freckles
\[.25 \times 10^{18} =(2.5 \times 10^{-1}) \times 10^{18} \\ =2.5 \times 10^{-1} \times 10^{18} \\ =2.5 \times 10^{-1+18} \\ =2.5 \times 10^{17}\] is right
is3535
  • is3535
2.5 x 10^17 is my answer
freckles
  • freckles
|dw:1442256696718:dw|
is3535
  • is3535
yea
is3535
  • is3535
2.5 x 10^17 is my answer

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