#1**+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**+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