is3535
  • is3535
help
Mathematics
schrodinger
  • schrodinger
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is3535
  • is3535
is3535
  • is3535
|dw:1442262035289:dw|
phi
  • phi
what is 3/4 written as a decimal?

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is3535
  • is3535
0.75
phi
  • phi
and what is \[ \frac{10^{20}}{10^5}\]?
is3535
  • is3535
im not sure
phi
  • phi
do you know what \[ \frac{10 \cdot 10}{10} \] simplifies to ?
phi
  • phi
(the top is 10 times 10)
is3535
  • is3535
3
phi
  • phi
10*10/10 simplifies to 10
phi
  • phi
what about \[ \frac{10 \cdot 10\cdot 10}{10 \cdot 10}\]?
is3535
  • is3535
1.5
phi
  • phi
how did you get 1.5 ?
phi
  • phi
first 30/2 is 15 second the problem is 10*10*10 divided by 10*10 which is a different problem
PatrickWeeWoos
  • PatrickWeeWoos
@phi can you please help me
is3535
  • is3535
i think 7.5 x ^15
phi
  • phi
Here is the important idea \[ \frac{10}{10} =1 \] any time you have the *same thing* up top and down below, they divide out to 1
phi
  • phi
\[ \frac{10 \cdot \cancel{10}\cdot 10}{\cancel{10} \cdot 10} = \frac{10 \cdot 10}{10}\] and we can go further \[ \frac{10 \cdot \cancel{10}}{\cancel{10}}=10 \]
is3535
  • is3535
now what
phi
  • phi
\[ 10^{20}\] means 10 times itself 20 times (lots of 10's) and 10^5 means 10 times itself 5 times 5 of the 10's in the bottom cancel 5 (out of the 20 ) up top that leaves \(10^{20-5} \) or \( 10^{15}\)
phi
  • phi
so far we have \[ \frac{3\cdot 10^{20}}{4\cdot 10^5}= 0.75 \cdot 10^{15} \] to make this standard, make 0.75 10 times bigger and make 10^15 10 times smaller
is3535
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