perplexus.info :: Numbers : Phi Proximity Poser

Phi Proximity Poser (Posted on 2023-02-07)

Using each of the digits 1 to 9 exactly once, and the standard arithmetic operators, +,-, *, /, and, () as many times as required; come up with a value that is closest to φ.
This means, minimizing abs(V - φ), where V is the obtained value and, abs is the absolute function.

(I) Use only the individual digits. Concatenations like (98-34)/(1*2) - (56/7) are NOT allowed.

(II) Concatenations are allowed.

Note: φ is the golden ratio or the golden mean.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(1) (1-(2-(3*(4+5/(6*9-8)))))/7.
(2) 34/21 - 7/6958 = 1.61804158283032
(1) For an explanation, refer to the solution submitted by Charlie in this location.
(2)For an explanation, refer to the solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Slightly improved Part (II)	Larry	2023-02-08 10:37:41
computer exploration on part I	Charlie	2023-02-07 14:39:21
a start for part (II)	Larry	2023-02-07 12:08:15

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