Show Each Single – Toán Đại Số 8 Tập 2

Stive has a 1st Class Honors Electronics Engineering degree including a high level math module and also masters level modules, from the O.U.You watching: 8 ÷ 2(2 + 2) the viral equation has only one answer and that is 1 not 16

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A Challenge

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.

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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.

The USA PEMDAS mnemonic stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. The UK(+) BODMAS mnemonic stands for Brackets, Orders or Of, Division, Multiplication, Addition, Subtraction.

P and B mean the same thing. The P is for “Parentheses” because parentheses are the usual and most common brackets seen in equations. B for “Brackets” allows the inclusion of any major types of brackets such Parentheses (curved Brackets), Square Brackets ( ), and Braces or Curly Brackets ( { } ) which are also used.

E and O mean the same thing. The E for “Exponents” is equivalent to O for either “Orders” as in “To the Order Of” or “Of” as in “To the Power Of” which both mean exponents.

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Basic Math

Those who understand basic math will acknowledge the following to be true…

That 8 ÷ 2 x (2 + 2)

= 8 ÷ 2 x 4

= 4 x 4

= 16

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Next Level Math

The following can also be proven to be true.See more: Download Phần Mềm Chỉnh Dây Đàn Guitar Tuna, Download Ứng Dụng Căng Chỉnh Dây Đàn Guitar

That 8 ÷ 2(2 + 2)

= 8 ÷ 2(4)

= 8 ÷ 8

= 1

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.

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Check Your Answer (Proof #1)

In my first argument I will discuss earlier math from the mid to late 20th century.

Anybody who can recall the, dreaded by some, algebra, from those glorious school days, will probably remember the phrase “check your answer”.

Having solved an equation, for example, for a value for x, it was then necessary to check the value obtained by inserting it into the original equation and testing for the correct result.

Similarly, in the pre-calculator days of the slide rule, we were instructed to perform a rough calculation of the equation, to ensure that our answer was in the right ball park and that the decimal point was not in the wrong position.

And similarly again, in the equation under discussion, 8 divided by something, must reveal an answer of 1 or less unless the rest of the equation is a fraction.

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Hence 8 divided by something, cannot give a result of 16 unless the rest of the equation can be shown to be a fraction, which a 2, a 4 and a set of parentheses, clearly are not.See more: Phần Mềm Chấm Công Online Nhận Diện Khuôn Mặt Hàng Đầu Hiện Nay

In the YouTube (incorrect) attempts at “proof”, most of the narrators state, “In modern math, the answer is 16”. Modern math is actually more than 100 years old so they are apparently referring to 'calculator-era' math and they are incorrectly applying a left to right rule without including either the simple “touching” rule or the juxtaposition rule or essential nested brackets which are all discussed later.

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