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# how can you put (7.7×108)×(4.9×10−5) as a scientific notation.

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how can you put (7.7×108)×(4.9×10−5) as a scientific notation.

Guest Jun 2, 2017
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#1
+815
+1

First evaluate the given expression and then put into scientific notation:

 $$\textbf{(7.7*108)}*(4.9*10-5)$$ Do $$7.7*108$$first because it is in parentheses. $$821.6*(\textbf{4.9*10-5})$$ Do what is in parentheses first before evaluating anything else $$\textbf{821.6*44}$$ Finally, simplify $$821.6*44$$ $$36150.4$$

Of course, we aren't done yet! We have to convert this number into scientific notation. Let's do it:

 $$3_\leftarrow6_\leftarrow1_\leftarrow5_\leftarrow0.4$$ As shown, move the decimal to the left or right until you get a number between 1 and 10 $$3.61504$$ Now, you must figure out how many lots of 10's you need to multiply by to return to the original answer. If you moved the decimal place to the right 4 times, then you divided the number by 10^4. You must reverse this change. The reverse of division is multiplication. Therefore, multiply this number by 10^4 and you're done! $$3.61504*10^4$$ This is your final answer in scientific notation!
TheXSquaredFactor  Jun 2, 2017
#2
+89798
+1

how can you put (7.7×108)×(4.9×10−5) as a scientific notation.

Thanks X squared, yours is a good answer too :))

I think you mean  (7.7×10^8)×(4.9×10^−5)

You use the ^ (calleded a hat, or more correctly still a caret) to indicate a power.

$$(7.7×10^8)×(4.9×10^{−5})\\ =7.7\times 4.9 \times 10^{8+-5}\\ =7.7\times 4.9 \times 10^{8+-5}\\ =37.73 \times 10^{3}\\ =3.773 \times 10^1 \times 10^{3}\\ =3.773 \times 10^4$$

Melody  Jun 2, 2017

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