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.
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.
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
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 (.
What you're saying here is that the equation is 60 over 5 THEN multiply by 2 instead of 60 over 5(2)
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
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.
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
Was thinking ahead to the answer.
Oops. Sorry Alan. Sorry. I'll delete my answer. Sorry guest.
What's wrong with me these days?
No wait. I'll leave my answer. People can learn by my mistake too.
Always think positively.
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.