Basic Equation but with Box Brackets

[EE Nicole]

TL;DR Summary

Its really the box brackets together with regular brackets which are giving me issues. Its making it impossible for me to wrap my head around it. Excel and calculators aren't getting it either, although I'm sure its not too difficult. If you could show me how to work it out myself that would be amazing. Thank you

This may be very simple but I'm having trouble working it out and the calculator isn't giveing me the result I need.
Below is the example calculation:
1020000*0.5*[(1.10)1.5-1]= 78382

Here is the one I am having trouble working on
207559*0.5*[(1.10)1.5-1]=

If someone could also show me how to figure it out that would be amazing because I need to use variations of this formula for other numbers.

Thanks you!

 

[anuttarasammyak]

I observe rewriting it as
=207559*0.5*((1.1)*1.5-1) or =207559*0.5*(1.1*1.5-1)
is successful in Excel to give

67456.675

 

[fresh_42]

Summary:: Its really the box brackets together with regular brackets which are giving me issues. Its making it impossible for me to wrap my head around it. Excel and calculators aren't getting it either, although I'm sure its not too difficult. If you could show me how to work it out myself that would be amazing. Thank you

This may be very simple but I'm having trouble working it out and the calculator isn't giveing me the result I need.
Below is the example calculation:
1020000*0.5*[(1.10)1.5-1]= 78382

Here is the one I am having trouble working on
207559*0.5*[(1.10)1.5-1]=

If someone could also show me how to figure it out that would be amazing because I need to use variations of this formula for other numbers.

Thanks you!

If you meant $207559\cdot 0.5 \cdot [(1.10)\cdot 1.5\,-\,1]$ then it is always from the most inner bracket to the most outer. The most inner bracket of your example has only the purpose to distinguish $(1.10)$ in this linear notation from $1.5$. Otherwise we won't know where the former ends and the latter begins. The form of brackets in this context is only to make it easier to read. Inside out is the key, not the form.

However, there is a second possibility here. It could be meant that the first factor is either $1.10$ or $1.5$, or any value in between. This can't be said without context.

The form of brackets can also mean something completely different. E.g. $[A,B]$ means a certain operation in linear algebra, and another one in group theory. This is not the case here, so your rule remains: inside-out.

 

[Mark44]

Its really the box brackets together with regular brackets which are giving me issues. Its making it impossible for me to wrap my head around it. Excel and calculators aren't getting it either, although I'm sure its not too difficult.

In mathematics, different kinds of bracketing symbols are used: parentheses - (), brackets - [], braces - {}, angle brackets - <>. However, Excel and most calculators recognize only parentheses to the best of my knowledge.

 

[mathman]

Different brackets are used to avoid ambiguity in pairing.

 

[Mark44]

Different brackets are used to avoid ambiguity in pairing.

But not in Excel, or in many calculators.

 

[mfb]

There are places where [ ] means rounding down to an integer. We really can't tell without context. $\lfloor x \rfloor$ is a preferred (less ambiguous) notation for that, and Excel will know that as FLOOR(x).