If p/q is a rational number and m is a non-zero integer, then p × m / q × m is a rational number not equivalent to p/q. Is the given statement true or false?
Solution:
Given, if p/q is a rational number and m is a non-zero integer, then p × m / q × m is a rational number not equivalent to p/q.
We have to determine if the given statement is true or false
If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.
Let m = 1
p × m / q × m = p × (1) / q × (1) = p/q
Let m = 2
p × m / q × m = p × (2) / q × (2) = p/q
Let m = 3
p × m / q × m = p × (3) / q × (3) = p/q
Therefore, the given statement is false.
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☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 54
If p/q is a rational number and m is a non-zero integer, then p × m / q × m is a rational number not equivalent to p/q. Is the given statement true or false?
Summary:
The given statement, “ If p/q is a rational number and m is a non-zero integer, then p×m / q×m is a rational number not equivalent to p/q” is false
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