Question

For the pair of rational numbers, given below, verify that the  multiplication is commutative.  −5/ 11 and 3 /8 .​

Answer 1

Answer:

as we have to insert 5 rational numbers between -7/12 and -6/12 so we will multiply 5 plus 1 =6

in both numerator and denominator

so,

-7*6/12*6 = -42/72

-6*6/12*6 = -36/72

now the two numbers are -42/72 and -36/72

five rational numbers are -41/72 , -40/72 , -39/72 , -38/72 , -37/72

Step-by-step explanation:

Answer 2

We have,

$\frac{-5}{11} and \frac{3}{8}$

Since,

$\frac{-5}{11} *\frac{3}{8} =\frac{-15}{88}$

and,

$\frac{3}{8} *\frac{-5}{11} = \frac{-15}{88}$

Hence,

$-5/11 * 3/8 = 3/8 * -5/11$  ------->$[\frac{-5}{11} * \frac{3}{8}=\frac{3}{8}*\frac{-5}{11}]$

It is verified that the multiplication is commutative.