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Every fraction is a rational number but ...

Every fraction is a rational number but a rational number need not be a fraction.

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Every natural number is a rational number but a rational number need not be a natural number

Every integer is a rational number but a rational number need not be an integer

Every integer is a rational number but a rational number need not be an integer

State whether the statements given are True or False. Every integer is a rational number but every rational number need not be an integer.

Every integer is a rational number.

State whether the given statement is true or false: (i) Zero is the smallest rational number. (ii) Every integer is a rational number. (iii) The quotient of two integers is always a rational number. (iv) Every fraction is a rational number. (v) Every rational number is a fraction.

In each of the following state if the statement is true (T) or false (F): (i) The quotient of two integers is always an integer. (ii) Every integer is a rational number. (iii) Every rational number is an integer. (iv) Every fraction is a rational number. (v) Every rational number is a fraction. (vi) If a/b is a rational number and m any integer, then a/b=(axxm)/(bxxm) (vii) Two rational numbers with different numerators cannot be equal. (viii) 8 can be written as a rational number with any integer as denominator. (ix) 8 can be written as a rational number with any integer as numerator. (x) 2/3 is equal to 4/6dot

State whether the statements given are True or False. Every natural number is a rational number but every rational number need not be a natural number.

Give an example to satisfy the following statements : All integers are rational numbers but all rational numbers need not be integers.

The sum of two rational numbers is a rational number.