Question

identity element for subtraction of
of rational namber
option 1, 0, does not exist. and -1​

Answer 1

0 is the identity element for subtraction of rational numbers.We get that the identity element of subtraction is 0. So, the correct answer is “0”. Note: We need to keep in mind the subtraction is a particular binary operation. The concept of identity element is fixed for all kinds of operations, be it multiplication or addition.Rational numbers, integers and whole numbers are non commutative under subtraction and division. Role of zero and one- 0 is the additive identity for rational numbers. 1 is the multiplicative identity for rational numbers.The identity property of 1 says that any number multiplied by 1 keeps its identity. ... The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number.Why Is 0 a Rational Number? This rational expression proves that 0 is a rational number because any number can be divided by 0 and equal 0. Fraction r/s shows that when 0 is divided by a whole number, it results in infinity. Infinity is not an integer because it cannot be expressed in fraction form.The smallest irrational number is - root2 since 3+ root2 +(-root2)= 3+root2-root2=3( a rational number).