Taking any three numbers. Rohit examined whether the addition of three rational numbers obey Associative Law of addition.
We got, a+ ( b + c) = (a + b) +c

Taking any three rational numbers Shuvm examined whether the multiplication of the rational numbers obey Associative Law.

(a) Write any three rational numbers

In the case of irrational numbers (i) State the associative law for addition . By taking any three- irrational numbers, prove the law.

Draw a number line and take an example to verify commutative law of addition.

State the left distributive law. By choosing any three rational numbers , prove the law.

What number should be added to each term of the ratio 2a : 3b so that the ratio of the additions will be c : d ?

For rational numbers (i) state the associative law on addition, By choosing and three rational numbers prove the law. (ii) State the associative law on multiplication . By choosing any three rational numbers prove the law.

For three unequal positive real numbers a, b, c show that (b + c) (c + a) (a + b) > 8abc.

If three unequal positive numbers a, b, c are in G.P. then show that, a +c gt 2b .

(a) (i) By taking any two irrational numbers, prove that their sum is a rational number. (ii) By taking any two irrational numbers, prove that their difference is a rational number. (b) Insert in between 1/7 and 2/7 (i) a rational number : (ii) an irrational number.