Write the answer in scientific notation.
(2.3x10^-4)(9.3x10^8)
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OpenStudy (ammarah):
@Mertsj
OpenStudy (ammarah):
@Easyaspi314
OpenStudy (ammarah):
@Zale101
OpenStudy (owlcoffee):
when working with scientific notation, we can use some exponential properties,
so we know that the exponent, multiplied would be 8-4=4:
\[(2.3x10^{-4})(9.3x10^{8}) = ((2.3)(9.3))x10^{8-4}\]
our result:
\[21.39x10^{4}\],
let's fix that by doing this:
\[2.139x10^{5}\]
OpenStudy (ammarah):
okay so for this equation:
(5.4x10^-5)(1.8x10^-1)
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OpenStudy (ammarah):
it would be 5.4 times 1.8 and then -5-(-2)
OpenStudy (owlcoffee):
it would be (5.4)(1.8)^-5+(-1)
remember than when we multiply two numbers to a exponent, the exponents sum together.
OpenStudy (ammarah):
oh so you add the exponents
OpenStudy (owlcoffee):
yes, In the previous case i put the "-" because it was the sum with a negative number.
OpenStudy (ammarah):
so for this prob you dont have to move the decimal place..
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OpenStudy (ammarah):
i got 9.72x10^-6
OpenStudy (owlcoffee):
if the multiplication is less than 10, then you dont have to move it.