Test: Rational Numbers- 1

reciprocal means interchanging numerator and denominator here it's-2/1 understand after reciprocal denominator came upside so, it will be -1/2 

The reciprocal of the reciprocal of a rational number is the number itself.
For example, Consider the rational no. 1/2. It's reciprocal is 2 and the reciprocal of 2 is 1/2. Therefore, it's the number itself.

Additive inverse of a number is the number who when added to initial number sums up to zero.

If x is a negative number, then its additive inverse is equal and opposite in sign to it. This means that the additive inverse of a negative number is positive.

Hence, additive inverse of -2/3 is 2/3

So option C is the correct answer. 

In order to  find the multiplicative inverse of  the given number, find the reciprocal of that number.
Here the given number is -13
So the reciprocal of -13 will be -1/13

Therefore, option C is the correct answer. 

Clearly, we can see that -1 and 1 are the numbers whose reciprocal is the number itself.
1 and -1 are the only rational numbers which are their own reciprocals. No other rational number is its own reciprocal. We know that there is no rational number which when multiplied with 0, gives 1. Therefore, rational number 0 has no reciprocal or multiplicative inverse.

Every rational number is not a fraction.
In rational numbers, we use integers and in fractions, we use only natural numbers.

It is the associative property and we know that the rational numbers are associative under addition.
 For eg: 5/3 + (3/2 + 1/3) = 7/2;
  (5/3 + 3/2) + 1/3 = 7/2
Here, Option 'a' is the correct answer.

Therefore, a+(b+c) = (a+b)+c

1 is the multiplicative identity for rational numbers, natural numbers, integers.

-7 / 8 x 4 / 21 = - 1 / 6 

So option A is the correct answer. 

Zero is called the identity for the addition of rational numbers.
Example: 2/3 + 0 = 2/3