Learn Rational Numbers with Free Lessons & Tips

Sure, here are three rational numbers occurring between    

here  is the solution 

solution :    
                    

Solution :

 Given : 

1. Closure Property: The sum, difference, product, and quotient of any two rational numbers is also a rational number.
2. Commutative Property of Addition: For any rational numbers \( a \) and \( b \), \( a + b = b + a \).
3. Commutative Property of Multiplication: For any rational numbers \( a \) and \( b \), \( a \times b = b \times a \).
4. Associative Property of Addition: For any rational numbers \( a \), \( b \), and \( c \), \( (a + b) + c = a + (b + c) \).
5. Associative Property of Multiplication: For any rational numbers \( a \), \( b \), and \( c \), \( (a \times b) \times c = a \times (b \times c) \).
6. Distributive Property: For any rational numbers \( a \), \( b \), and \( c \), \( a \times (b + c) = a \times b + a \times c \).
7. Identity Property of Addition: The sum of any rational number and 0 is the number itself: \( a + 0 = a \).
8. Identity Property of Multiplication: The product of any rational number and 1 is the number itself: \( a \times 1 = a \).
9. Inverse Property of Addition: For any rational number \( a \), there exists an additive inverse \( -a \) such that \( a + (-a) = 0 \).
10. Inverse Property of Multiplication: For any rational number \( a \) (except 0), there exists a multiplicative inverse \( \frac{1}{a} \) such that \( a \times \frac{1}{a} = 1 \).

solution : |------------------------|-----------------|----------------------|
                0                          3/4                   8/9                       1

Solution to the above question :

Solution Given here ::