Simplify and state the property used in each case.

$c. \left(-561\right)÷\left(-561\right)$

Simplify and state the property used in each case.

$d. \left(-91\right)\times \left[6-\left(-9\right)\right]$

Simplify and state the property used in each case.

$e. 0÷819$

Simplify and state the property used in each case.

$f. \left(-41\right)\times 2-10\times 2$

State true or false.

$a.$ When any negative integer is divided by $\left(-1\right)$, the quotient is additive inverse of the integer.

State true or false:

$c.$The product of $11$ negative numbers and $10$ positive numbers is positive.

State true or false.

$d.$ The quotient of any integer and its additive inverse is $1.$

State true or false:

$e.$Multiplicative identity of integrs is $-1.$