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| 1. |
Verify associative property of addition of Rational numbers for = −11/ 10 , = 21/ 5 = −1/2 |
| Answer» <html><body><p>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:Given numbers are -10/11 , 5/6 and 4/3 To Verify the associative property for <a href="https://interviewquestions.tuteehub.com/tag/addition-367641" style="font-weight:bold;" target="_blank" title="Click to know more about ADDITION">ADDITION</a> and multiplication of the <a href="https://interviewquestions.tuteehub.com/tag/rational-613044" style="font-weight:bold;" target="_blank" title="Click to know more about RATIONAL">RATIONAL</a> numbers. Associative Property for addition of the rational numbers is as follows ( a + b ) + <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a> = a + ( b + c ) Associative Property for multiplication of the rational numbers is as follows ( a × b ) × c = a × ( b × c ) let a = -10/11 , b = 5/6 and c = 4/3 So, <a href="https://interviewquestions.tuteehub.com/tag/first-461760" style="font-weight:bold;" target="_blank" title="Click to know more about FIRST">FIRST</a> Associative property of addition: LHS = ( a + b ) + c = ( -10/11 + 5/6 ) + 4/3 RHS = a + ( b + c ) = -10/11 + ( 5/6 + 4/3 ) LHS = RHS Hence Verified Second, Associative property of multiplication: LHS = ( a × b ) × c = ( -10/11 × 5/6 ) × 4/3 RHS = a × ( b × c ) = -10/11 × ( 5/6 × 4/3 ) LHS = RHS</p></body></html> | |