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Mathematics 4 Online
OpenStudy (rainbow_rocks03):

PLZ HELP WILL MEDAL!!!!

OpenStudy (rainbow_rocks03):

OpenStudy (thetoetoejam):

1: C 2: B 3: B

OpenStudy (rainbow_rocks03):

plz explain?

OpenStudy (thetoetoejam):

No screw u

OpenStudy (thetoetoejam):

just convert them back to standard notation then mutiply, then convert back to scientific

OpenStudy (rainbow_rocks03):

whats ur problem, ur supposed to explain not just give the answers

OpenStudy (rainbow_rocks03):

@jim_thompson5910 @jabez177

jimthompson5910 (jim_thompson5910):

@rainbow_rocks03 first you would multiply the base numbers 5.1 and 3.2 what do you get when you do this?

OpenStudy (rainbow_rocks03):

you get 16.32

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

then you add the exponents 3+3 = 6

jimthompson5910 (jim_thompson5910):

so \[\Large \left(5.1 \times 10^{3}\right)\times\left(3.2 \times 10^{3}\right) = 16.32 \times 10^{6}\] but this is not the final answer. There's a bit more work needed to be done

jimthompson5910 (jim_thompson5910):

Recall that scientific notation must have the base be a number x such that \(\Large 1 \le x < 10\)

OpenStudy (rainbow_rocks03):

5?

OpenStudy (rainbow_rocks03):

im not sure

jimthompson5910 (jim_thompson5910):

is 16.32 between 1 and 10? the answer is no so we must convert 16.32 into scientific notation

jimthompson5910 (jim_thompson5910):

how can we do this?

OpenStudy (rainbow_rocks03):

idk

jimthompson5910 (jim_thompson5910):

we can move the decimal point 1 spot to the left to go from 16.32 to 1.632 to move the decimal point back, we move the decimal 1 spot to the right the `move the decimal 1 spot to the right` is the same as multiplying by 10 = 10^1 which is why \[\Large 16.32 = 1.632 \times 10^{1}\] do you agree?

OpenStudy (rainbow_rocks03):

um, yes

jimthompson5910 (jim_thompson5910):

So replace the `16.32` with `1.632 x 10^1` to go from this \[\Large 16.32 \times 10^{6}\] to this \[\Large 1.632 \times 10^{1} \times 10^{6}\] with me so far?

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