A spaceship traveled at a speed of 5,000 miles per hour for 30,000 hours.

How many miles, written in scientific notation, did this spaceship travel?

Guest Dec 15, 2017

#2**+2 **

I would convert both the multiplicand and multiplier to scientific notation and then multiply.

\(5000\Rightarrow5*10^3\\ 30000\Rightarrow3*10^4\)

Now, multiply them together.

\(\left(\textcolor{red}{5}*\textcolor{blue}{10^3}\right)\left(\textcolor{red}{3}*\textcolor{blue}{10^4}\right)\) | Multiply these together. The numbers in red and blue can be combined together. The blue numbers can be multiplied because they both have identical bases. |

\(15*10^{7}\) | Of course, we must remain proper with scientific notation rules. This means that the beginning number must be bounded between 1 and 10. |

\(1.5 ×10^8\) | I find that the traditional multiplication symbol is used with scientific notation, so I used that particular symbol; however, it is not required. |

TheXSquaredFactor
Dec 18, 2017

#2**+2 **

Best Answer

I would convert both the multiplicand and multiplier to scientific notation and then multiply.

\(5000\Rightarrow5*10^3\\ 30000\Rightarrow3*10^4\)

Now, multiply them together.

\(\left(\textcolor{red}{5}*\textcolor{blue}{10^3}\right)\left(\textcolor{red}{3}*\textcolor{blue}{10^4}\right)\) | Multiply these together. The numbers in red and blue can be combined together. The blue numbers can be multiplied because they both have identical bases. |

\(15*10^{7}\) | Of course, we must remain proper with scientific notation rules. This means that the beginning number must be bounded between 1 and 10. |

\(1.5 ×10^8\) | I find that the traditional multiplication symbol is used with scientific notation, so I used that particular symbol; however, it is not required. |

TheXSquaredFactor
Dec 18, 2017