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# 6 or 24?

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60
14

60/5(7-5)

Guest Sep 6, 2017
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#1
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So we have the equation 60/5(7-5).

First simplify the '7-5' in the brackets to get 60/5(2)

Simplify again and get 60/10

And that's just dividing 60 by 10, so the answer is 6.

6 is our answer.

Not 24.

New update: I think this answer is wrong. Look at Alan's answer. Sorry.

Gh0sty15  Sep 6, 2017
edited by Gh0sty15  Sep 6, 2017
#2
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THANK YOU. My friends have been arguing with me about this for eons.

Guest Sep 6, 2017
#3
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Did you say it was 6?

Gh0sty15  Sep 6, 2017
#4
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Yeah. I kept arguing they have to deal with the Parantheses first, PEMDAS, and all, but their logic got them to 60/5*(2) so then they followed that with 12*2 = 24. I kept telling them there was no "*" sign so they had to multiply first because they still have to deal with parantheses first, but alas, they didn't believe me.

Guest Sep 6, 2017
#6
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Nor should they have believed you!  See my reply #5.

Alan  Sep 6, 2017
#5
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No Gh0sty!

Parentheses first:  60/5*2

Divide and Multiply have the same precedence so you work from left to right:

60/5*2 → 12*2 → 24

Alan  Sep 6, 2017
#7
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If you legit put the equation into a real life TI-84 calculator as "60/5(7-5)" you'll get 6. The scientific calculator on the computer is incompatible with that equation because it forces you to place the multiplication symbol in between the 5 and the (.

Guest Sep 6, 2017
#8
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What you're saying here is that the equation is 60 over 5 THEN multiply by 2 instead of 60 over 5(2)

Guest Sep 6, 2017
#9
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It doesn't say that there's a multiplication sign in the middle of 5 and (7-2). Adding a sign there would make the equation different. It would be regrouped into:

60 ÷ 5 × ( 7 - 5 ) = ( 60 ÷ 5 ) ( 7 - 5 )

Which is different from the original equation.

But if no multiplication sign was added, it would be purely '60 divided by the product of 5 and 7 minus 2' which is 6.

60 ÷ 5 ( 7 - 2 )

60 ÷ 5 ( 2 )

60 ÷ 10

6

Guest Sep 6, 2017
#10
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Remember that the term 5(7-5) is a monomial term that has been simplified from (35-25) and that you need to DISTRIBUTE the 5 back into the brackets to solve the brackets.

Guest Sep 6, 2017
#11
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It says

60 ÷ 5 ( 7 - 2 )

60 ÷ 5 ( 2 )

60 ÷ 10

6

But that's a typo. Meant

60 ÷ 5 ( 7 - 5 )

60 ÷ 5 ( 2 )

60 ÷ 10

6

Guest Sep 6, 2017
#12
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Oops. Sorry Alan. Sorry. I'll delete my answer. Sorry guest.

What's wrong with me these days?

Gh0sty15  Sep 6, 2017
#13
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No wait. I'll leave my answer. People can learn by my mistake too.

Always think positively.

Gh0sty15  Sep 6, 2017
#14
+26114
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There is nothing in the original expression to indicate that 5(7-5) has been factored from (35 - 25).  If it had been the correct way to express the result would have been 60/(5(7 - 5))

60/5(7 - 5) has an implied multiplication so should be read as 60/5*(7-5)

To avoid ambiguity either use parentheses or write as $$\frac{60}{5}(7-5)\text{ or}\frac{60}{5(7-5)}$$ as appropriate.

Alan  Sep 6, 2017

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