SOLUTION: How do I find the answer for what power of 10 needs to be added to 10 to the 6th divided by 10 to the 2nd to get 100,010,000? I'm confused because I don't understand how t

Question 698313:

How do I find the answer for what power of 10 needs to be added to 10 to the 6th divided by 10 to the 2nd to get 100,010,000?
I'm confused because I don't understand how the 1 is in the 10,000 place. What I've done so far is to take 10 to the 6th & subtract 10 to the 2nd which leaves me with 10 to the 4th which has a value of 10,000.
If I assume there is a typo in 100,010,000 and it should be 100,000,000 then I now need 4 more zeros so I'd have to add on 10 to the 4th.
Does this all make sense & am I on the right track?

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
10^6/10^2+10^X=100,010,000
10^4+10^X=100,010,000
10,000+10^X=100,010,000
10^X=100,010,000-10,000
10^X=100,000,000
10^8=100,000,000 ANS IS 10^8.
PROOF:
100,000,000=100,000,000
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