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Practice each question, then open the answer or worked solution.
If p/q is a rational number and m is a non-zero integer, then
(p/q) = (p × m)/(q × m)
Solution:-
True.
A fraction is not changed whether the both numerator and denominator are multiplied by the same number or divided by the same number.
If p/q is a rational number and m is a non-zero common divisor of p and q, then
p/q = (p ÷ m)/(q ÷ m)
Solution:-
True.
A fraction is not changed whether the both numerator and denominator are multiplied by the same number or divided by the same number.
In a rational number, denominator always has to be a non-zero integer.
Solution:-
True.
A number that can be expressed in the form p/q , where p and q are integers and q ≠ 0, is called a rational number.
If p/q is a rational number and m is a non-zero integer, then (p/q) = (p × m)/(q × m) is a rational number not equivalent to p/q.
Solution:-
False.
We know that, a fraction is not changed whether the both numerator and denominator are multiplied by the same number or divided by the same number.
Sum of two rational numbers is always a rational number.
Solution:-
True.
Let us consider the two rational numbers (1/2) and (3/4)
Then, sum of two rational numbers = (1/2) + (3/4)
LCM of 2 and 4 is 4
= (2/4) + (3/4)
= (2 + 3)/4
= 5/4 is a rational number.