Properties of Rational Numbers
Representation of Rational Numbers on the Number line.
Rational Numbers between two rational numbers.
The students learn to represent rational numbers on the number line. They learn to verify various properties taking different values.
- The sum of any two rational numbers is always a rational number. This is called ‘Closure property of addition’ of rational numbers.
- Addition of two rational numbers is commutative. a/b + c/d = c/d + a/b
- Commutative property is true for addition and multiplication only
- Addition of rational numbers is associative. a/b + (c/d + e/f)= ( c/d + a/b) + e/f
- The rational number 0 is the additive identity for rational numbers.
- The rational number 1 is the multiplicative identity for rational number.
- The additive inverse of rational number a/b is –a/b and vice versa.
- Additive inverse of 0 is 0 itself
- The multiplicative inverse of the rational number is a/b is b/a and vice versa.
- Zero (0) has no reciprocal.
- 1 and – 1 are the only rational numbers which are their own reciprocals.
- Average of two numbers always lie between that numbers
8th maths Rational Number test paper-1
8th maths Rational Number test pape-2
8th maths Rational Number Worksheet-1
8th maths Rational Number Worksheet-2