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Mathematics 21 Online
OpenStudy (anonymous):

Simplify the expression, and write answer in scientific notation

OpenStudy (anonymous):

where is the expression?

OpenStudy (anonymous):

\[\left( 4.2 \times 10^{-8} \right) \left( 2.4 \times 10^{5} \right)/ 2.4 \times 10^{3}\]

OpenStudy (anonymous):

hold on

OpenStudy (anonymous):

it's suppose to be a fraction (......) over 2.4 blah blah

OpenStudy (anonymous):

I see it

OpenStudy (anonymous):

the dash is the fraction line, right?

OpenStudy (anonymous):

OpenStudy (anonymous):

Ohhh okay!

OpenStudy (anonymous):

yes. thank you <3

OpenStudy (anonymous):

Anytime!

OpenStudy (anonymous):

ANSWER: 0.0000042 (.000000042)(240, 000) ____________________________ (2400)

OpenStudy (anonymous):

lmao what?

OpenStudy (anonymous):

Do you know how to find standard notation? And the dashes represent the fraction line.

OpenStudy (anonymous):

I divided top over bottom

OpenStudy (anonymous):

so what is the final answer?

OpenStudy (anonymous):

2400?

OpenStudy (anonymous):

ANSWER: 0.0000042

OpenStudy (anonymous):

\[{(4.2\times10^{-8})(2.4\times10^{5}) \over 2.4\times10^3}=4.2\times10^{-6}\]

OpenStudy (anonymous):

i have to write that answer in scientific notation, that isn't the right answer. it says it's wrong.

OpenStudy (anonymous):

OH I'M SORRY. Then you change the answer I gave you to how many zeros are behind 4. AnwarA is correct.

OpenStudy (anonymous):

thank you anwara

OpenStudy (anonymous):

and thank you OMGirene for the help :]

OpenStudy (anonymous):

Oh, no problem! Sorry for making a mistake.

OpenStudy (anonymous):

can you explain how you got that pls?

OpenStudy (anonymous):

The 2.4 in the top will be cancelled with the one in the bottom. You will be left with 4.8 times some powers of 10's. When you multiply numbers that have the same base you add powers, and when you divide them you subtract powers. So the answer will be \(4.8 \times 10^{-8+5-3}=4.8 \times 10^{-6}\).

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