Sum of two rational numbers is not a rational number.

True

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False

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Solution

The correct option is B
False

We know,rational numbers are closed under addition. That is why, for any two rational numbers a and b, a + b is also a rational number.

For example: a = $\frac{3}{8}$ , b = -5/7

Then a + b = $\frac{3}{8}$ - $\frac{5}{7}$ = $\frac{- 19}{56}$ , It is a rational number.

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Similar questions

Question 55

State whether the given statement is True or False.

Sum of two rational numbers is always a rational number.

State, in each case, whether the given statement is true or false.

(i) The sum of two rational numbers is rational.

(ii) The sum of two irrational numbers is irrational.

(iii) The product of two rational numbers is rational.

(iv) The product of two irrational numbers is irrational.

(v) The sum of a rational number and an irrational number is irrational.

(vi) The product of a nonzero rational number and an irrational number is a rational number.

(vii) Every real number is rational.

(viii) Every real number is either rational or irrational.

(ix) $π$ is irrational and $\frac{22}{7}$ is rational.

\sqrt{2}

(i) Every natural number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number, but not a rational number.

Division of two irrational numbers can be a rational number (true/false)

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