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Author Topic: 8÷2(2+2) = ?  (Read 4908 times)

Offline 12HRS

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8÷2(2+2) = ?
« on: July 31, 2019, 11:14:03 AM »
1 or 16
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Offline JuryDuty

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Re: 8÷2(2+2) = ?
« Reply #1 on: July 31, 2019, 11:15:40 AM »
1. Basic order of pemdas
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Offline aygart

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Re: 8÷2(2+2) = ?
« Reply #2 on: July 31, 2019, 11:20:02 AM »
Quote from: 12HRS on July 31, 2019, 11:14:03 AM
1 or 16
16 because division and multiplication rank equally in PEMDAS order of operations so you therefore go left to right

These are the steps
8/2*(2+2)
8/2*4
4*4
16
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Offline gingyguy

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Re: 8÷2(2+2) = ?
« Reply #3 on: July 31, 2019, 11:21:16 AM »

how do you figure?

Quote from: JuryDuty on July 31, 2019, 11:15:40 AM
1. Basic order of pemdas
gets you 16
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Offline JuryDuty

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Re: 8÷2(2+2) = ?
« Reply #4 on: July 31, 2019, 11:22:04 AM »
Ya it was a mistake
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Offline 12HRS

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Re: 8÷2(2+2) = ?
« Reply #5 on: July 31, 2019, 11:23:26 AM »
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Offline skyguy918

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Re: 8÷2(2+2) = ?
« Reply #6 on: July 31, 2019, 11:28:04 AM »
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Offline aygart

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Re: 8÷2(2+2) = ?
« Reply #7 on: July 31, 2019, 11:31:49 AM »
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Offline skyguy918

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Re: 8÷2(2+2) = ?
« Reply #8 on: July 31, 2019, 11:34:07 AM »
Quote from: aygart on July 31, 2019, 11:31:49 AM
Okay. According to this my use of the slash was incorrect.
How do you figure? It literally lays out how either method could be correct. It's a question of whether left to right takes precedence, or multiplication by association takes precedence.

There is no 'right' answer.
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Offline aygart

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Re: 8÷2(2+2) = ?
« Reply #9 on: July 31, 2019, 11:38:06 AM »
Quote from: skyguy918 on July 31, 2019, 11:34:07 AM
How do you figure? It literally lays out how either method could be correct. It's a question of whether left to right takes precedence, or multiplication by association takes precedence.

There is no 'right' answer.
You are misreading it. The ambiguity is only regarding division with a /and not with a ÷
Quote
For example, the manuscript submission instructions for the Physical Review journals state that multiplication is of higher precedence than division with a slash
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Offline mmgfarb

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Re: 8÷2(2+2) = ?
« Reply #10 on: July 31, 2019, 11:41:33 AM »
Quote from: aygart on July 31, 2019, 11:31:49 AM
Okay. According to this my use of the slash was incorrect.
True, you should have used a division symbol but you still came out with the correct answer.
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Offline skyguy918

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Re: 8÷2(2+2) = ?
« Reply #11 on: July 31, 2019, 12:01:14 PM »
Quote from: aygart on July 31, 2019, 11:38:06 AM
You are misreading it. The ambiguity is only regarding division with a /and not with a ÷
Incorrect. Notice which symbol is used in this sentence.
Quote
However, in some of the academic literature, multiplication denoted by juxtaposition (also known as implied multiplication) is interpreted as having higher precedence than division, so that 1 ÷ 2x equals 1 ÷ (2x), not (1 ÷ 2)x.
And BTW, you yourself substituted the ÷ in the thread title for a /, so you don't seem to recognize a difference.

I'd inform you that this is coming from a math major, but I know how you loooooove appeal to authority...
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Offline aygart

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Re: 8÷2(2+2) = ?
« Reply #12 on: July 31, 2019, 12:10:15 PM »
Quote from: skyguy918 on July 31, 2019, 12:01:14 PM
Incorrect. Notice which symbol is used in this sentence.And BTW, you yourself substituted the ÷ in the thread title for a /, so you don't seem to recognize a difference.

I'd inform you that this is coming from a math major, but I know how you loooooove appeal to authority...

That's okay. I can always discuss it with my father the Math phd who was a mathematics professor for 40 years if you want to go that route.
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Offline aygart

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Re: 8÷2(2+2) = ?
« Reply #13 on: July 31, 2019, 12:11:11 PM »
Either way, this belongs here
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Offline 12HRS

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Re: 8÷2(2+2) = ?
« Reply #14 on: July 31, 2019, 12:21:21 PM »
I guess I made a mistake using ÷ instead of /
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Offline CountValentine

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Re: 8÷2(2+2) = ?
« Reply #15 on: July 31, 2019, 12:38:10 PM »
Quote from: 12HRS on July 31, 2019, 12:21:21 PM
I guess I made a mistake using ÷ instead of /
you should have started with 1+1 on this forum.  :)
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Offline 12HRS

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Re: 8÷2(2+2) = ?
« Reply #16 on: July 31, 2019, 12:39:04 PM »
Quote from: CountValentine on July 31, 2019, 12:38:10 PM
you should have started with 1+1 on this forum.  :)

I first need to figure out how to change my avatar for that one
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Offline Dan

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Re: 8÷2(2+2) = ?
« Reply #17 on: July 31, 2019, 12:40:50 PM »
Quote from: 12HRS on July 31, 2019, 12:39:04 PM
I first need to figure out how to change my avatar for that one
@Achas Veachas
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Offline Mordyk

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Re: 8÷2(2+2) = ?
« Reply #18 on: July 31, 2019, 12:43:36 PM »
excel calculates it to 16
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Offline CountValentine

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Re: 8÷2(2+2) = ?
« Reply #19 on: July 31, 2019, 12:44:39 PM »
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