1.5 WHAT HAVE WE DISCUSSED?

NCERT Class 8 Mathematics Textbook for Blind and Visually Impaired Students made Screen Readable by Professor T K Bansal.

1. Rational numbers are closed under the operations of addition, subtraction and multiplication.

2. The operations of addition and multiplication are
(i) commutative for rational numbers.
(ii) associative for rational numbers.

3. The rational number 0 is the additive identity for rational numbers.

4. The rational number 1 is the multiplicative identity for rational numbers.

5. The additive inverse of the rational number a/b is − A/b and vice versa.

6. The reciprocal or THE multiplicative inverse of the rational number A/b is c/d if A/b × c/d = 1.

7. Distributivity of rational numbers:
For all rational numbers A, b and c,
A × (b + c) = A × b + a × c and
A × (b − c) = A × b − a × c

8. Rational numbers can be represented on a number line.

9. Between any two given rational numbers there are countless rational numbers.
The idea of mean, helps us to find rational numbers between two rational numbers.

Congratulations! You have completed this chapter. I hope you enjoyed studying this chapter. In case you found any difficulties in this chapter or have any suggestions to improve it, please write to us at ‘blind2Visionary@gmail.com’.

End of Chapter 1 Rational Numbers - Class 8 Mathematics for blind and visually impaired students.