Rational numbers and commutative law

bips2010
Messages
1
Reaction score
0
How can i prove that addition and mulitiplication of rational numbers follow commutative and associative law?
 
Physics news on Phys.org
If you can assume those properties for integers, then you might want to figure out how to incorporate multiplication by the common denominator for your rational expressions.
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

Irrational Number Raised To Irrational Number
Replies
30
Views
2K
What Are the Different Types of Numbers and How Can You Determine Them?
Replies
8
Views
1K
Prove that a set of positive rational numbers is countable
Replies
24
Views
5K
Is a+b necessarily irrational?
Replies
2
Views
2K
Irrational Numbers a and b used in various expressions
Replies
13
Views
2K
Show that (a-b) + (c-d) = -(b+d) - (-a-c)
Replies
6
Views
1K
Prove or disprove that there is a rational number x and an i
Replies
5
Views
3K
Find an irrational number that satisfies the given inequality
Replies
22
Views
1K
Conjugate vs Complex Conjugate
Replies
9
Views
2K
Proving that the inverse of a rational number exists
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top