Chapter 8: Rational Numbers

Solution:-

(-5/2)× (-2/5) = 1

Let u assume the missing rational number be y.

Then,

y × (-2/5) = 1

y = -5/2

Solution:-

The standard form of rational number –1 is -1.

A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.

Solution:-

If m is a common divisor of a and b, then (a/b) = (a ÷ m)/(b ÷ m).

Solution:-

If p and q are positive integers, then p/q is a positive rational number and – p/q is a negative rational number.

As we know that, When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.

Solution:-

Two rational numbers are said to be equivalent or equal, if they have the same simplest form.

If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

Solution:-

If p/q is a rational number, then q cannot be zero.

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.

State whether the statements given in question 47 to 65 are True or False.

Solution:-

True.

Solution:-

True.

Zero can be written as 0 = 0/1

We know that a number of a form p/q where p, q are integers and q is not equal to zero is a rational number.

Hence, zero is a rational number.

Solution:-

True.

6/3 is rational number. Since if we simplify 6/3 to its lowest term we get 2/1 = 2, which is an integer.

Every integer is a rational number but every rational number is not an integer.

Solution:-

False.