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Operations on Ratioanl Numbers #!#Part 2...

Operations on Ratioanl Numbers #!#Part 2

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The numerator and denominator of a rational number are in the ratio 3:4 If the denomiantor is increased by 3, then the ratio becomes 3:5. Find the ratioanl number.

Show that addition,subtraction and multiplication are binary operations on R, but division is not a binary operation on R . Further,show that division is a binary operation on the set R of nonzero real numbers.

If matrix A is m xx n and B is n xx p, then number of multiplication operations and addition operations needed to calculate the matrix AB,respectively are:

On the set Q of all rational numbers an operation * is defined by a*b=1+ab. show that * is a binary operation on Q.

If ** be a binary operation on N (the setof natural numbers) defined by a^(**) b = a^(b) , then find (i) 2 ** 3 (ii) 3 ** 2

On Q, the set of all rational numbers a binary operation * is defined by a*b=(a+b)/(2) Show that * is not associative on Q.

By which of the following operation can any part of a document be seen on the screen?