<prompt> Hlalosa hore na ke hobaneng ha thepa ea identity identity e le teng thutong ea lipalo.nan  <response>: Instruction in English: Explain why the additive identity property holds in mathematics. . Response in English: The additive identity property states that given a number a in a set of numbers and an identity element 0 in that set, the result of the addition of a and 0 will always yield a. Symbolically, this is represented as a 0 a. In other words, adding zero to any number does not change the value of that number. This property holds in mathematics because the identity element 0 is defined to have no value, thus when it is added to another number, it does not affect the value of the other number. This is true for any set of numbers that has an identity element, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The existence of an additive identity is one of the axioms of the algebraic structure called group and is part of the basic foundation of modern mathematics. . Response in Sesotho: Thepa ea kenyelletso ea boitsebiso e bolela hore ha ho fanoe ka nomoro a sehlopheng sa linomoro le ntho ea boitsebiso 0 sehlopheng seo, sephetho sa kenyelletso ea a le 0 se tla fana ka a kamehla. Ka mokhoa oa tšoantšetso, sena se emeloa joalo ka a 0 a. Ka mantsoe a mang, ho eketsa zero palo efe kapa efe ha ho fetole boleng ba nomoro eo. Thepa ena e sebetsa ho lipalo hobane karolo ea boitsebiso 0 e hlalosoa e se na boleng, kahoo ha e eketsoa nomorong e ngoe, ha e ame boleng ba nomoro e ngoe. Sena ke nete bakeng sa sehlopha sefe kapa sefe sa linomoro tse nang le karolo ea boitsebiso, ho kenyeletsoa linomoro tse felletseng, linomoro, linomoro tse leka-lekaneng, linomoro tsa sebele le linomoro tse rarahaneng. Boteng ba boitsebiso ba tlatsetso ke e ngoe ea li-axioms tsa sebopeho sa aljebra se bitsoang sehlopha me ke karolo ea motheo oa motheo oa lipalo tsa morao-rao. 