Question

The approximate distance from Earth to the moon is 240 thousand miles. The approximate distance from Earth to the sun is 93 million miles. In standard notation, the approximate distance from the sun to Earth is miles greater than the approximate distance from Earth to the moon. In scientific notation, the distance is m × 10n, where m is and n is .

Answer 1

Answer:

$m\times10^n=92.76\times10^6$

$m=92.76$ and $n=10^6$

Step-by-step explanation:

Given : The approximate distance from Earth to the moon is 240 thousand miles.

The approximate distance from Earth to the sun is 93 million miles.

To find : The approximate distance from the sun to Earth is miles greater than the approximate distance from Earth to the moon. In scientific notation, the distance is $m\times10^n$, where m is and n is ?

Solution :

In scientific notation distance from Earth to the moon $=240\times 10^3$ miles.

Convert into million miles, $=0.240\times 10^6$ million miles.

In scientific notation distance from Earth to the sun $=93\times 10^6$ million miles.

The approximate distance from the sun to Earth is miles greater than the approximate distance from Earth to the moon.

The difference of their distance is $m\times10^n$,

So, $=93\times 10^6-0.240\times 10^6=92.76\times10^6$ million miles.

Comparing with the given form $m=92.76$ and $n=10^6$

Therefore, In scientific notation distance is

$m\times10^n=92.76\times10^6$