Why use standard (index) form for large numbers?
Example 1
It makes long distances easier to understand
At the furthest point of its orbit Pluto is over 4,583,000,000 miles from the sun. This can be written in standard form as `4.583times10^9` miles.
Example 2
It makes large numbers easier to understand
The world population is:
`7.4times10^9` people
Or
7,400,000,000 people
Which is easier to understand?
We think `7.4times10^9` people.
Example 3
It makes large masses easier to understand
The mass of the Earth is
`6times10^24` kg
Or
6,000,000,000,000,000,000,000,000kg
Or
6 Sextillion kg
Which is easier to understand?
We think `6times10^24` kg
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