Q8 of 20 Page 8

Let me put (T) if the statement is true and write (F) if the statement is wrong.

(i) By adding, subtracting and multiplying two integers, we get integers.


(ii) By dividing two integers, we always get an integer.

(i) True

Let’s get it by example


Take 2 integers suppose 2 and 3


On adding


We get 2+3 = 5


Which is an integer


On subtracting


We get 2-3 = -1


Which is an integer


On multiplying


We get 2×3 = 6


Which is an integer


∴ On adding, subtracting and multiplying two integers, we get integer


(ii) False


Let’s get it by example


Take 2 integer suppose 2 and 5


On dividing


We get = 0.4


Which is not an integer;


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Let us write the right or False statement from the following:

(i) The sum of two rational numbers will always be rational.


(ii) The sum of two irrational numbers will always be irrational.


(iii) The product of two rational numbers will always be rational.


(iv) The product of two irrational numbers will always be rational.


(v) Each rational number must be real.


(vi) Each real number must be irrational.