QUANTITATIVE PROFICIENCY
FULLY SOLVED EDITION WITH 100
PERCENT CORRECT VERIFIED
ANSWERS 2026
‣ 5 properties of a commutative group . Answer: 1. The set of elements
is closed under a given operation.
2. All identity elements exist for the set under the operation.
3. Every element has an inverse
4. Set of elemets associative
‣ closed set . Answer: Result has to be in that set after a binary option is
performed on any elements in the set.
‣ identity . Answer: When binary operation performed the result is the
given element.
Ex: whole numbers/ addition
Additive identity= 0
‣ Inverse . Answer: When an element operates in its inverse the result is
the identity element.
FULLY SOLVED EDITION WITH 100
PERCENT CORRECT VERIFIED
ANSWERS 2026
‣ 5 properties of a commutative group . Answer: 1. The set of elements
is closed under a given operation.
2. All identity elements exist for the set under the operation.
3. Every element has an inverse
4. Set of elemets associative
‣ closed set . Answer: Result has to be in that set after a binary option is
performed on any elements in the set.
‣ identity . Answer: When binary operation performed the result is the
given element.
Ex: whole numbers/ addition
Additive identity= 0
‣ Inverse . Answer: When an element operates in its inverse the result is
the identity element.