In simple words, rational numbers are of 2 types: (example: 12/45 is not a rational number as it can be further simplified into the standard form as 4/15. fractions with numerators and denominators are integers such as 2/5, -6/7.Below are the different types of rational numbers: We must not consider any fraction with integers as rational numbers. The number above has a set of decimals 3505, which is repeated continuously here. Consist of positive, negative numbers, and zero. The ratio p/q can be simplified further and written in decimal form.We need to check the following conditions to identify a rational number. 3/8 x 8/3 = 1, here the multiplicative inverse of 3/8 is 8/3.⇒ a/b + (-a/b) = 0, here the additive inverse of a/b = (-a/b)Īnd, a/b x b/a = 1, here the multiplicative inverse a/b = b/a 3/4 x 1 = 3/4 (Multiplicative Identity)Īccording to Identity property, for a rational number a/b, its additive inverse is -a/y, and b/a is its multiplicative inverse.1/3 x (1/6 + 1/7) = (1/3 x 1/6) + (1/3 x 1/7)Īccording to Identity property, 0 is an additive identity and 1 is a multiplicative identity for rational numbers.⇒ a × (b + c) = (a × b) + (a × c), here a and b are 2 rational numbers ⇒ a + (b + c) = (a + b) + c, here a and b are 2 rational numbersĪccording to this property, the multiplication of a whole number is distributed over the sum of the whole numbers. Rational numbers have the associative property for only addition and multiplication. ⇒ a + b = b + a, here a and b are 2 rational numbers However, this property does not hold for subtraction or division of 2 rational numbers. Rational numbers are commutative under the operations – addition and multiplication. In simple words, addition, subtraction, multiplication, and division of 2 rational numbers ‘a’ and ‘b’ give a rational number. Rational numbers are closed under addition, subtraction, multiplication, and division operations. The rational numbers are universally represented by the symbol ‘Q’. Given below are some examples of rational numbers: Rational Numbers Examples of Rational Numbers
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