Powers of ten question

[bilbany12]

Hey there,
I'm working on pH and pOH calculations right now. I'm having trouble wrapping my head around something like this:

6x10^-10M is a number between 3.16x10^-10 and 1x10^-9.

I would think 6x10^-10M is higher than (out of range) 3.16x10^-10? Can someone explain why its not?

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[JTLresces]

Let me know if I'm misunderstanding, but it seems like both statements are true. 6x10^-10 is between those two numbers and is greater than 3x10^-10

Think about 1x10^-9 being the same as 10x10^-10

 

[bilbany12]

The first statement is true, the second statement is my thought process haha. But wow, thinking of 1E-9 being the same as 10E-10 helps so much!! Thanks so much!