Every natural number is a rational number but every rational number need not be a natural number. Is the given statement true or false?
Solution:
Given, every natural number is a rational number but every rational number need not be a natural number
We have to determine if the given statement is true or false.
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.
Natural numbers are a part of the number system, including all the positive integers from 1 to infinity.
Natural numbers are also called counting numbers because they do not include zero or negative numbers.
Natural numbers are a part of real numbers including only the positive integers, but not zero, fractions, decimals, and negative numbers.
From the definition of natural numbers,
We observe that natural numbers cannot be fractions whereas rational numbers are fractional numbers.
So, every rational number need not be a natural number.
Therefore, the given statement is true.
✦ Try This: Every rational number is a natural number. Is the given statement true or false?
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 47
Every natural number is a rational number but every rational number need not be a natural number. Is the given statement true or false?
Summary:
The given statement, “Every natural number is a rational number but every rational number need not be a natural number” is true
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