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Article 1.1      April 3, 2021      8 ÷ 2(2 + 2) = 1

Equation 8d2b2p2

The Viral Equation 8 ÷ 2(2 + 2) Has Only One Correct Answer.

The Correct Answer is  1  NOT  16.

A few snippets from my published article on the above www-viral topic.

My arguments and proofs below are in reality a challenge to most of the calculator manufacturers and spreadsheet programmers who, for too long, have assumed that "2()" can be always evaluated to "2 x ()". This is true in simple equations but in complex equations, which call for the PEMDAS/BODMAS, is true only when the "2()" is the first item.

They have failed the general public and allowed them to believe that the assumption is true and have failed to instruct them, in the user manuals, on the necessary use of nested brackets when inputting complex equations.

My argument revolves around the fact that the 2(4) is an expression consisting of inseparable numbers and is not the same as "2 x 4" which are two separate, individual number values which can be worked-on separately.

I suggest that the outside 2 in the 2(2 + 2) part of the equation is not a numerical 2 but is merely a symbol with a value of 2 much the same as the 2 in H2O and should be evaluated similarly - change my mind.

...Hence we use the shorter, more manageable version of 2(2+2), with an immovable outside 2, which must be made forced-immovable in calculators and spreadsheets by encapsulating it thus (2(2+2)).

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Calculator1

Article 1.2      April 4, 2021      8 ÷ 2(2 + 2) = 1

Equation 8d2b2p2

The Sad Legacy of Calculator Dependence.

A few snippets from my published article on the above www-viral topic.

Back in the day, when I attended school, calculators did not exist to become reliant upon. For this reason the math that was learned at school was a practical math that could be applied in simple, real life situations, somewhat like an applied math. It was not simple number crunching to obtain an answer to a problem that was perceived as correct but wasn't tested for correctness.

The practical implications of knowing, realizing, understanding, or at least, accepting, that the PEMDAS/BODMAS 'rules'/guidelines were to be interpreted and not just simply applied in strict fashion were to become, sadly unnoticeably, far-reaching.

That the P/B element must be intelligently or complexly applied to be 'wholly or fully evaluated', and not simply applied to calculate only the parentheses' contents, enabled math to move from the classroom to practical areas.

That 2(2 + 2) = 8 by whatever interim or extraneous means a person chooses, either the Touching Rule, Juxtaposition Rule, Distributive Property Rule, or any other applicable rule, allowed for its use in real-world situations.

The history of the calculator is interesting. The first solid-state calculators appeared in the early 1960s with the first pocket calculators launching in the early 1970s. With the arrival of integrated circuits, pocket calculators were affordable and already fairly commonplace during the late 1970s.

Some early calculators were programmed to calculate 2(2+2) as =8 which agreed with the pre-calculator manual method.

Then, inexplicably, calculators began to surface which would strangely separate a keyed-in input of "2(2+2)", i.e. "2(no-space)(...", and would replace it with "2x(2+2)", i.e. "2(times-sign)(...", and would then clearly produce an incorrect answer.

The clue to the different answer outputs is whether the calculator inserts a multiplication sign or not.

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