Chapter DPT, Problem 31E

(A)

To determine

To find: The real number property which is defined in the statement $\left(-7\right)-\left(-5\right)=\left(-7\right)+\left[-\left(-5\right)\right]$.

(B)

To determine

To find: The real number property which is defined in the statement $5u+\left(3v+2\right)=\left(3v+2\right)+5u$.

(C)

To determine

To find: The real number property which is defined in the statement $\left(5m-2\right)\left(2m+3\right)=\left(5m-2\right)2m+\left(5m-2\right)3$.

(D)

To determine

To find: The real number property which is defined in the statement $9\cdot \left(4y\right)=\left(9\cdot 4\right)y$.

(E)

To determine

To find: The real number property which is defined in the statement $\frac{u}{-\left(v-w\right)}=\frac{u}{w-v}$.

(F)

To determine

To find: The real number property which is defined in the statement $\left(x-y\right)+0=\left(x-y\right)$.