變數有點混到,所以重寫一次!
這個DR.Peterson的結論不就跟之前DR.IAN一樣的看法嗎!?都是建議將ax/by當成是(ax/b)*y,而不是 ax/(by)...
原文如下:
I prefer the standard way (your first answer) when talking to students,
unless their own text gives the "implicit multiplication first" rule...
請注意(your first answer)我認為是指發問者的第一個算法,也就是(ax/b)*y而不是ax/(by), 雖然Dr.文中解適過程有自己把兩個順序顛倒,但我是認為這個your first answer應該是指發問者原始的first answer.
原發問者問題如下:
The problem was presented like this:

a = 1.56
b = 1.2
x = 7.2
y = 0.2

ax/by = ?

Here are two ways that I solved it:

1) I first rewrote the problem as [1.56(7.2)/ 1.2](0.2). Second, a was
multiplied by x. The product was 11.232. Then, since no parentheses
were present, I followed the order of operations and divided 11.232 by
b, which was 1.2. The quotient was 9.36. Then I multiplied 9.36 by y,
which was 0.2. The final answer was 1.872.

2) The other way, the first thing I did was multiply a by x. The
product, which was 11.232, was set aside for the time being. Then b
was multiplied by y, which gave the product of 0.24. The problem was
now solved by dividing 11.232 (or ax) by 0.24 (or by) to reach a final
answer of 46.8.

Can you please tell us which answer is correct and why?