 Author Topic: What is 8 ÷ 2(2 + 2) = ?  (Read 714 times) Audio Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #15 on: October 22, 2019, 09:19 »
The question is, why do they use a bracket in the first place?

2(2+2).

You can do a 2 X 2+2  but no, you didn't do that.  Instead you purposely do a (2+2).  Tell me why do you use a bracket?  The answer is clear ....it is to separate (2+2) so that you do not end up doing a 2 X 2+2 which give you the result of 6. That is why you must attempt to calculate what's inside the bracket first; you add (2+2) first and then multiple by 2 which give you an answer of 8.

Hence the answer to 8/2(2+2) = 1.

(Audio) AndrewC Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #16 on: October 22, 2019, 09:25 »
The question is, why do they use a bracket in the first place?
...

I disagree. The point is not the bracket itself, but the implied multiplication by skipping the "x" (multiply sign).

8 / 2 x (2+2) is NOT THE SAME as 8 / 2(2+2)... Bracket is involved in both, but the former is 16, while the latter 1 because of the implied multiplication.

QED You'll never get to heaven with a smile on your face from me. Audio Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #17 on: October 22, 2019, 09:41 »
I disagree. The point is not the bracket itself, but the implied multiplication by skipping the "x" (multiply sign).

8 / 2 x (2+2) is NOT THE SAME as 8 / 2(2+2)... Bracket is involved in both, but the former is 16, while the latter 1 because of the implied multiplication.

QED 2 X(2+2) is not 2(2+2)??

2 X(2+2) = 8
2(2+2) = 8

??

(Audio) chewed

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« Reply #18 on: October 22, 2019, 09:46 »
I disagree. The point is not the bracket itself, but the implied multiplication by skipping the "x" (multiply sign).

8 / 2 x (2+2) is NOT THE SAME as 8 / 2(2+2)... Bracket is involved in both, but the former is 16, while the latter 1 because of the implied multiplication.

QED again, if we write it out what you said 8/2 x (2+2)  is actually

8
-----     x  (2+2)  = 16
2

but for 8/2(2+2) it is

8
-------------
2(2+2)

i think we have to be very clear? Else it can be seriously wrong. AndrewC Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #19 on: October 22, 2019, 09:50 »
2 X(2+2) is not 2(2+2)??

2 X(2+2) = 8
2(2+2) = 8

??

(Audio)

You're missing the point and looking at only a part of the whole.

In 8 / 2 x (2 + 2) .... the order of operation is bracket first, then left to right with division having a higher precedence than multiplication. Hence 8 / 2 followed by x 4. i.e. 16

In 8 / 2 (2 + 2)... the order of operation is bracket first, followed by multiplication, only then left to right with the division. Hence 2 x (4) first, followed by 8 / 8. i.e. 1

Once again, the ambiguity in this case is because BODMAS doesn't say anything about implied multiplication You'll never get to heaven with a smile on your face from me. Audio Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #20 on: October 22, 2019, 10:28 »
You're missing the point and looking at only a part of the whole.

In 8 / 2 x (2 + 2) .... the order of operation is bracket first, then left to right with division having a higher precedence than multiplication. Hence 8 / 2 followed by x 4. i.e. 16

In 8 / 2 (2 + 2)... the order of operation is bracket first, followed by multiplication, only then left to right with the division. Hence 2 x (4) first, followed by 8 / 8. i.e. 1

Once again, the ambiguity in this case is because BODMAS doesn't say anything about implied multiplication If the answer was meant to be 16, then it should be

(8/2)(2+2) which it isn't.  The second bracket is missing.

(Audio) AndrewC Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #21 on: October 22, 2019, 10:58 »
If the answer was meant to be 16, then it should be

(8/2)(2+2) which it isn't.  The second bracket is missing.

(Audio)

It's not complicated ...  I'm saying the answer to the original post, as in the subject line of this thread, is 1 (not 16)... because of the implied multiplication in the full mathematical term.

The confusion some people have is because they've forgotten (or are unaware), that implied multiplication has a precedence over division (especially if they're used to using BODMAS).
You'll never get to heaven with a smile on your face from me. Gondon72 Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #22 on: October 22, 2019, 11:03 »
1

1. 2+2=4
2. 2*4= 8
3. 8/8 = 1

« Last Edit: October 22, 2019, 11:20 by Gondon72 » bean

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« Reply #23 on: October 22, 2019, 11:13 »
No it's not actually. Google "Implied Multiplication" (it has a higher precedence than division )

I never heard of implied multiplication before so I actually google. I think "Implied multiplication" applied to thing like 1/2x, where x is an variable. In this case, we mean 1 / (2x). But it has nothing to do with bracket as in the situation like 8/2(4).

I still put my money on 8/2(4) = 16. However, I will not consciously write this kind of expression unless I want to mislead. AndrewC Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #24 on: October 22, 2019, 11:19 »
I never heard of implied multiplication before so I actually google. ...

Implied Multiplication doesn't apply to just variable, it's also applies to mathematical terms with factors against bracketed terms. Google harder (beyond just Wikipedia lah...) You'll never get to heaven with a smile on your face from me. Audio Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #25 on: October 22, 2019, 13:41 »
It is just me.  I apply BODMAS but looking at the expression, I will clear bracket first and everything under the divisor before actually dividing.   Never like loose ends.

(Audio) jonlee

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« Reply #26 on: October 22, 2019, 15:02 »
I old school ... so I am thought this way:

8 ÷ 2(2 + 2)

8
= -------------
2(2+2)

8
= -------------
2(4)

8
= -------------
8

= 1

8 ÷ 2 x (2 + 2)
= 8 ÷ 2 x (4)
= 4 x (4)
= 16

(8/2)(2+2)
= (4)(4)
= 16 AndrewC Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #27 on: October 22, 2019, 15:09 »
288 Tanks or 2 Tanks? ps:

A quick Google reveals that this same math problem has been making the 'net rounds over the last decade or so without a definitive answer from anyone appropriately authorative.

Interestingly, Wolfram Alpha gives both results depending on which Division operator is used;
When expressed as in this thread Subject; https://www.wolframalpha.com/input/?i=8+div+2%282%2B2%29 = 1
When expressed with the "/" operator; https://www.wolframalpha.com/input/?i=8%2F2%282%2B2%29 = 16
You'll never get to heaven with a smile on your face from me. desray Re: What is 8 ÷ 2(2 + 2) = ?
« Reply #28 on: October 22, 2019, 19:21 »
Haha. I didn’t expect so many responses in this innocuous thread.

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