Page 22 - 7-Math-2 Rational Numbers
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21. .RQatuioandalrNautmicbeErsquations                         eeLLeeaarrnn..PPuunnjjaabb

             •	 Addition of rational numbers with:
             Same denominator.                                          Different denominators.

                    	 	 	 	 	 	 	

             •	 Subtraction of rational numbers with:
             Same denominator.                                          Different denominators.
                     	 	 	 	 	 	 	

             •	 To find the product of two rational numbers, multiply the
                numerator of one rational number by the numerator of the other.
                Similarly, multiply the denominators.

             	

             •	 Division is an inverse operation of multiplication. So, for any two
                rational numbers.

             	 		

             •	 0 is called additive identity and 1 is called multiplicative identity.
             •	 is called the reciprocal of

             •	 If are two rational numbers, then according to the
                commutative property:

             	 		

             •	 If and are three rational numbers, then according to the
                associative property.

             		

             •	 Now again consider the three rational numbers       and    
                then according to the distributive property:

             		

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