Ratio countdown

Edwinramirez

New member
Joined
Mar 23, 2021
Messages
5
1.121552499/1.12155249=1.000000008
1.121552499/1.121552491=1.000000007
1.121552499/1.121552492=1.000000006
1.121552499/1.121552493=1.000000005
1.121552499/1.121552494=1.000000004
1.121552499/1.121552495=1.000000004
1.121552499/1.121552496=1.000000003
1.121552499/1.121552497=1.000000002
1.121552499/1.121552498=1.000000001
1.121552499/1.121552499=1
1.121552498/1.12155249=1.000000007
1.121552498/1.121552491=1.000000006
1.121552498/1.121552492=1.000000005
1.121552498/1.121552493=1.000000004
1.121552498/1.121552494=1.000000004
1.121552498/1.121552495=1.000000003
1.121552498/1.121552496=1.000000002
1.121552498/1.121552497=1.000000001
1.121552498/1.121552498=1
1.121552498/1.121552499=999.9999991 E-3
1.121552497/1.12155249=1.000000006
1.121552497/1.121552491=1.000000005
1.121552497/1.121552492=1.000000004
1.121552497/1.121552493=1.000000004
1.121552497/1.121552494=1.000000003
1.121552497/1.121552495=1.000000002
1.121552497/1.121552496=1.000000001
1.121552497/1.121552497=1
1.121552497/1.121552498=999.9999991 E-3
1.121552497/1.121552499=999.9999982 E-3
1.121552496/1.12155249=1.000000005
1.121552496/1.121552491=1.000000004
1.121552496/1.121552492=1.000000004
1.121552496/1.121552493=1.000000003
1.121552496/1.121552494=1.000000002
1.121552496/1.121552495=1.000000001
1.121552496/1.121552496=1
1.121552496/1.121552497=999.9999991 E-3
1.121552496/1.121552498=999.9999982 E-3
1.121552496/1.121552499=999.9999973 E-3
1.121552495/1.12155249=1.000000004
1.121552495/1.121552491=1.000000004
1.121552495/1.121552492=1.000000003
1.121552495/1.121552493=1.000000002
1.121552495/1.121552494=1.000000001
1.121552495/1.121552495=1
1.121552495/1.121552496=999.9999991 E-3
1.121552495/1.121552497=999.9999982 E-3
1.121552495/1.121552498=999.9999973 E-3
1.121552495/1.121552499=999.9999964 E-3
1.121552494/1.12155249=1.000000004
1.121552494/1.121552491=1.000000003
1.121552494/1.121552492=1.000000002
1.121552494/1.121552493=1.000000001
1.121552494/1.121552494=1
1.121552494/1.121552495=999.9999991 E-3
1.121552494/1.121552496=999.9999982 E-3
1.121552494/1.121552497=999.9999973 E-3
1.121552494/1.121552498=999.9999964 E-3
1.121552494/1.121552499=999.9999955 E-3
1.121552493/1.12155249=1.000000003
1.121552493/1.121552491=1.000000002
1.121552493/1.121552492=1.000000001
1.121552493/1.121552493=1
1.121552493/1.121552494=999.9999991 E-3
1.121552493/1.121552495=999.9999982 E-3
1.121552493/1.121552496=999.9999973 E-3
1.121552493/1.121552497=999.9999964 E-3
1.121552493/1.121552498=999.9999955 E-3
1.121552493/1.121552499=999.9999947 E-3
1.121552492/1.12155249=1.000000002
1.121552492/1.121552491=1.000000001
1.121552492/1.121552492=1
1.121552492/1.121552493=999.9999991 E-3
1.121552492/1.121552494=999.9999982 E-3
1.121552492/1.121552495=999.9999973 E-3
1.121552492/1.121552496=999.9999964 E-3
1.121552492/1.121552497=999.9999955 E-3
1.121552492/1.121552498=999.9999947 E-3
1.121552492/1.121552499=999.9999938 E-3
1.121552491/1.12155249=1.000000001
1.121552491/1.121552491=1
1.121552491/1.121552492=999.9999991 E-3
1.121552491/1.121552493=999.9999982 E-3
1.121552491/1.121552494=999.9999973 E-3
1.121552491/1.121552495=999.9999964 E-3
1.121552491/1.121552496=999.9999955 E-3
1.121552491/1.121552497=999.9999947 E-3
 
Do you have a question?

I have one for you: Are you aware that these calculations are not exact? For the first, I get

1.121552499/1.12155249 = 1.000000008024590984591367631844...​
 
1.121552499/1.12155249=1.000000008
1.121552499/1.121552491=1.000000007
1.121552499/1.121552492=1.000000006
1.121552499/1.121552493=1.000000005
1.121552499/1.121552494=1.000000004
1.121552499/1.121552495=1.000000004
1.121552499/1.121552496=1.000000003
1.121552499/1.121552497=1.000000002
1.121552499/1.121552498=1.000000001
1.121552499/1.121552499=1
1.121552498/1.12155249=1.000000007
1.121552498/1.121552491=1.000000006
1.121552498/1.121552492=1.000000005
1.121552498/1.121552493=1.000000004
1.121552498/1.121552494=1.000000004
1.121552498/1.121552495=1.000000003
1.121552498/1.121552496=1.000000002
1.121552498/1.121552497=1.000000001
1.121552498/1.121552498=1
1.121552498/1.121552499=999.9999991 E-3
1.121552497/1.12155249=1.000000006
1.121552497/1.121552491=1.000000005
1.121552497/1.121552492=1.000000004
1.121552497/1.121552493=1.000000004
1.121552497/1.121552494=1.000000003
1.121552497/1.121552495=1.000000002
1.121552497/1.121552496=1.000000001
1.121552497/1.121552497=1
1.121552497/1.121552498=999.9999991 E-3
1.121552497/1.121552499=999.9999982 E-3
1.121552496/1.12155249=1.000000005
1.121552496/1.121552491=1.000000004
1.121552496/1.121552492=1.000000004
1.121552496/1.121552493=1.000000003
1.121552496/1.121552494=1.000000002
1.121552496/1.121552495=1.000000001
1.121552496/1.121552496=1
1.121552496/1.121552497=999.9999991 E-3
1.121552496/1.121552498=999.9999982 E-3
1.121552496/1.121552499=999.9999973 E-3
1.121552495/1.12155249=1.000000004
1.121552495/1.121552491=1.000000004
1.121552495/1.121552492=1.000000003
1.121552495/1.121552493=1.000000002
1.121552495/1.121552494=1.000000001
1.121552495/1.121552495=1
1.121552495/1.121552496=999.9999991 E-3
1.121552495/1.121552497=999.9999982 E-3
1.121552495/1.121552498=999.9999973 E-3
1.121552495/1.121552499=999.9999964 E-3
1.121552494/1.12155249=1.000000004
1.121552494/1.121552491=1.000000003
1.121552494/1.121552492=1.000000002
1.121552494/1.121552493=1.000000001
1.121552494/1.121552494=1
1.121552494/1.121552495=999.9999991 E-3
1.121552494/1.121552496=999.9999982 E-3
1.121552494/1.121552497=999.9999973 E-3
1.121552494/1.121552498=999.9999964 E-3
1.121552494/1.121552499=999.9999955 E-3
1.121552493/1.12155249=1.000000003
1.121552493/1.121552491=1.000000002
1.121552493/1.121552492=1.000000001
1.121552493/1.121552493=1
1.121552493/1.121552494=999.9999991 E-3
1.121552493/1.121552495=999.9999982 E-3
1.121552493/1.121552496=999.9999973 E-3
1.121552493/1.121552497=999.9999964 E-3
1.121552493/1.121552498=999.9999955 E-3
1.121552493/1.121552499=999.9999947 E-3
1.121552492/1.12155249=1.000000002
1.121552492/1.121552491=1.000000001
1.121552492/1.121552492=1
1.121552492/1.121552493=999.9999991 E-3
1.121552492/1.121552494=999.9999982 E-3
1.121552492/1.121552495=999.9999973 E-3
1.121552492/1.121552496=999.9999964 E-3
1.121552492/1.121552497=999.9999955 E-3
1.121552492/1.121552498=999.9999947 E-3
1.121552492/1.121552499=999.9999938 E-3
1.121552491/1.12155249=1.000000001
1.121552491/1.121552491=1
1.121552491/1.121552492=999.9999991 E-3
1.121552491/1.121552493=999.9999982 E-3
1.121552491/1.121552494=999.9999973 E-3
1.121552491/1.121552495=999.9999964 E-3
1.121552491/1.121552496=999.9999955 E-3
1.121552491/1.121552497=999.9999947 E-3
Why are you showing these data?

Is there something "special" we should notice?
 
The fact that the series of ratios decreases almost linearly?
The fact is, most functions are almost linear if you zoom in far enough (that is, take small enough steps). That is the basis of calculus and the idea of a tangent. There is really nothing special here.
 
These are exact on TI-83 calculator
You wrote:

1.121552499/1.12155249=1.000000008

The more exact number (Quotient) is:

1.00000000802459​

You probably got the exact number "displayed" in your TI calculator - but those are exact quotient. In real world, exact numerical answers are rare.
 
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