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