Are the following statements true or false? Give reasons for your answers. (i) Every whole number is a natural number. (ii) Every integer is a rational number. (iii) Every rational number is an integer.
@zepdrix
There's some debate on the Internet about what actually is the definition of a natural number, but I guess this problem will refer to it as the set of positive integers only, and whole numbers as non-negative integers (includes zero).
1.is true because every whole number like 1 is there its not a negative or anything 2.True. every rational number is of the form m/n, where m and n ≠ 0 are integers. If k is an integer, then k = k/1, so that k is rational 3.True!! Bcoz integer numbers are positive and negative whole numbers. Rational numbers ALSO include fractions and decimals...... eg: 10 is an integer which is also a rational number. but keep in mind all rational numbers are not integers. eg 10.1 is a rational number but since integers are only whole positive or negative numbers, it is not an integer
Thankyou Madam...
no problem
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