# Mod 2 Lesson 2-Assignment.docx - Mod 2: Lesson 2 -...

• 3

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 1 - 2 out of 3 pages.

Mod 2: Lesson 2 - AssignmentDetermine if the set of Rational Numbers is an equivalence relation using the binaryoperation multiplication.Examples of set of rational numbers are integers, wholenumbers, fractions, and decimals numbers. Choose from any of the set of rationalnumbers and apply the all properties of operations on real numbers under multiplication.Whole numbersCommutative PropertyThe commutative property of multiplication states that the order in which two numbersare multiplied does not affect the sum. If a and b are real numbers, then a×b=b×a.Closure PropertyThe product of any two real numbers will result in a real number. This is known as theclosure property of multiplication. In general, the closure property states that the productof any two real numbers is a unique real number. If a,b and c are real numbers, thena×b=c.Associative PropertyThe order in which three or more real numbers are grouped for multiplication will notaffect the product. This is known as the associative property of multiplication. The resultwill always be the same real number. In general, the associative property states that the

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 3 pages?

Course Hero member to access this document

Term
Fall
Professor
N/A
Tags
Examples of set of rational numbers