Alright, I am going to walk you through the equation using your linked page.
6/2(1+2)
"1. Things in parenthesis get computed before things not in parenthesis (this is because of the (little known fact) that parentheses kick ass)."
1+2=3, this leaves us with 6/2(3)
"2. Then, exponents get dealt with (including roots). Hence a^b*c = (a^b)*c."
There are no exponents in this equation so we still have 6/2(3).
"3. Next, multiplication and division get carried out [b][u]from left to right[/u][/b]. So a*b/c*d is ((a*b)/c)*d. Note that division can be thought of as still carrying out a multiplication since a/b = a*(1/b), so it makes a certain sense that neither division nor multiplication takes precedence over one another."
So, 6/2=3 This gives us 3(3) which is equal to 3x3. 3x3=9
"4. Finally, additions and subtractions get carried out from left to right. Subtraction can be thought of as being like addition since a – b = a + (-b) so it makes sense that subtraction is treated on an equal footing with addition."
There is no addition or subtraction outside of parenthesis so we do nothing here which leaves us with the solution which is 9.
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