## 2x5^2+3x4 Use parenthesis to reach lowest value.

Simplificatation, evaluation, linear equations, linear graphs, linear inequalities, basic word problems, etc.

### 2x5^2+3x4 Use parenthesis to reach lowest value.

Hey!

I was solving problems on a math book and stumbled upon this problem.

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.
MathNewbie

Posts: 1
Joined: Sun Feb 09, 2014 4:54 pm

### Re: 2x5^2+3x4 Use parenthesis to reach lowest value.

MathNewbie wrote:A. Insert a parenthesis into the equation 2x5^2+3x4 to reach the highest possible value.

or you could do 2*5^(2 + 3*4) = 2*(5^14) = 2*6,103,515,625. That's not the "right" answer so I guess there's some rule that says you can't do that.

MathNewbie wrote: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.

What's a "marker"? I don't see anything wrong with that you did. I think maybe the book has rules that it didn't tell you about. I think your answer is fine. Maybe the book wanted you to CHANGE the answer? Because the order of operations gives your answer even without parens. The book is wrong anyway: thsi is an expression not an "equation" & there's no variable so there's nothing to "solve" & "a parenthesIs" is just one half of the grouping symbols (you need two parenthesEs: open and close).
buddy

Posts: 101
Joined: Sun Feb 22, 2009 10:05 pm