MHB How should I interpret a formula without brackets?

  • Thread starter Thread starter Samwise-zambeezi
  • Start date Start date
  • Tags Tags
    Algebra
Click For Summary
The formula '1.2 . h - 0.2 . x' can be interpreted as '(1.2 . h) - (0.2 . x)' based on the order of operations, which prioritizes multiplication over addition and subtraction. The use of the dot for multiplication is discouraged unless clearly defined, as it can lead to confusion. Participants emphasize the importance of clarity in mathematical notation. Overall, the interpretation aligns with standard mathematical conventions. Proper notation enhances understanding and reduces misinterpretation.
Samwise-zambeezi
Messages
6
Reaction score
0
Hi all,

I have a formula which i might have expected to have brackets, but it hasn't, so i need to correctly interpret it.

Could anyone please offer any pointers as to how it should read?

The formula is '1.2 . h - 0.2 . x'

Can i assume that it should be '(1.2 . h) - (0.2 . x)'?

Thanks

Zamb
 
Mathematics news on Phys.org
You don't really need to "assume" that. Remember "PEMDAS" ("Please Excuse my dear aunt Sally")- Parentheses, Exponents, Multiplication, Division, Addition, Subtration. Multiplication and division have precedence over addition and subtraction.
 
Samwise-zambeezi said:
Hi all,

I have a formula which i might have expected to have brackets, but it hasn't, so i need to correctly interpret it.

Could anyone please offer any pointers as to how it should read?

The formula is '1.2 . h - 0.2 . x'

Can i assume that it should be '(1.2 . h) - (0.2 . x)'?

Thanks

Zamb
To be a bit more direct,.. Yes, that would be correct. However I still don't like it because it really reads 1*2*h - 0*2*x. Never use "." for multiplication unless you have defined it unambiguously!

-Dan
 
Hi both,

thanks a lot for your feedback, much appreciated,

Zambeezi
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
9
Views
3K
  • · Replies 11 ·
Replies
11
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K