Bila Mathematicians dan Programmers Berbalah...

Tak habis lagi ke?

Yo lahhh...ingatkan dah habis tadi... Panjang nkooo debate diorang ni...sampai sekarang pun still berbalah lagikkk! Malas nak print screen, sebab da sampai 124 komen...nak tengok gak, klik blog Cik Bambam, dia ade buat entri jugak! hahaha~

Bila sorang pakar komputer ni masuk korum, dia paste yang dia search kat google. Dan google memberikan jawapan 9. Tapi, kalkulator saintifik pulak bagi jawapan 1. Haaa...kenapa jadi camni?

Gambar tak berapa jelas dari henset nokia 3310

Sebab bergantung kepada design program software dalam komputer or kalkulator tu. Bila search kat satu web Math ni, dia bagi explaination mengikut PEMDAS Rule...

This next example displays an issue that almost never arises but, when it does, there seems to be no end to the arguing. (saja nak kalerkan merah dan boldkan~)

* Simplify 16 ÷ 2[8 – 3(4 – 2)] + 1.

16 ÷ 2[8 – 3(4 – 2)] + 1
= 16 ÷ 2[8 – 3(2)] + 1
= 16 ÷ 2[8 – 6] + 1
= 16 ÷ 2[2] + 1 (**)
= 16 ÷ 4 + 1
= 4 + 1
= 5

The confusing part in the above calculation is how "16 divided by 2[2] + 1" (in the line marked with the double-star) becomes "16 divided by 4 + 1", instead of "8 times by 2 + 1". That's because, even though multiplication and division are at the same level (so the left-to-right rule should apply), parentheses outrank division, so the first 2 goes with the [2], rather than with the "16 divided by". That is, multiplication that is indicated by placement against parentheses (or brackets, etc) is "stronger" than "regular" multiplication. Typesetting the entire problem in a graphing calculator verifies this hierarchy:

Note that different software will process this differently; even different models of Texas Instruments graphing calculators will process this differently. In cases of ambiguity, be very careful of your parentheses, and make your meaning clear. The general consensus among math people is that "multiplication by juxtaposition" (that is, multiplying by just putting things next to each other, rather than using the "×" sign) indicates that the juxtaposed values must be multiplied together before processing other operations. But not all software is programmed this way, and sometimes teachers view things differently. If in doubt, ask!

Then tengok soklan tadi pulak...

So, 1 la kan? Bukan 9...

Perghhh, lepas ni takleh pakai kalkulator sesuka hati ke??? Hahahah~ Sape buat soklan ni??? NAK JUMPA!!! Bikin pening kepala jeeee! Menelaah benda ni je dari tadi, lepas ni nak tukar master Math lahhh... :p

P/S: Cik Bambam masih menanti jawapan dari student PhD... :D