I was solving problems on a math book and stumbled upon this problem.
The problem had 2 parts:
A. Insert a parenthesis into the equation 2x5^2+3x4 to reach the highest possible value.
B. Insert a parenthesis into the equation 2x5^2+3x4 to reach the lowest possible value.
I managed to solve A, I checked the answer and the book agreed with me. 2(5^2+3)x4 = 224
But the B question is where I'm having some trouble. According to the book the right answer is: 2(5^2+3x4) = 74
While I found that 2x5^2+(3x4) = 62 which is obviously smaller.
I've tried looking around, but is it okay to ''sever'' a number from it's marker like I did in my own calculation? I put the parenthesis between the + and the 3. If this isn't allowed, then that would explain why my result is different from the book.
Any help is appreciated.