Every natural number is a rational number but every rational number need not be a natural number. Is this statement true or false
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3
Answer:
True
Step-by-step explanation:
-1 is a rational number, but not natural number.
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0
Answer:
Every natural number is a rational number but a rational number need not be a natural number.
We know that, 1 = 1/1, 2 = 2/1, 3 = 3/1 and so on ……. .
In other words, every natural number n can be written as n = n/1, which is the quotient of two integers. Thus, every natural number is a rational number.
Clearly, 3/2, 2/5, 1/7, 15/20, etc. are rational numbers but they are not natural numbers.
Hence, every natural number is a rational number but a rational number need not be a natural number.
Step-by-step explanation:
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