Which number is greater, #3.14 \times 10^99 or 3 \times 10^100#?

Question

1137 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-24T12:39:10

See a solution process below:

We can rewrite the second number as:

#3 xx (10 xx 10^99) =>#

#3 xx 10 xx 10^99 =>#

#(3 xx 10) xx 10^99 =>#

#30 xx 10^99#

And...

#30 xx 10^99 > 3.14 xx 10^99#

Therefore:

#3 xx 10^100 > 3.14 xx 10^99#