Calculate the following: a) -4 x 6, b) -120 / -20, c) 20 x -3, d) -9 x -12, e) -36 / -6, f) 14 x -2, g) -24 / -8, h) -100 / 20

A negative number multiplied by a positive number results in a negative number.

$$-4 \times 6 = -24$$

The result is $\boxed{-24}$.

b)

A negative number divided by a negative number results in a positive number.

$$(-120) \div (-20) = 6$$

The result is $\boxed{6}$.

c)

A positive number multiplied by a negative number results in a negative number.

$$20 \times (-3) = -60$$

The result is $\boxed{-60}$.

d)

A negative number multiplied by a negative number results in a positive number.

$$-9 \times (-12) = 108$$

The result is $\boxed{108}$.

e)

A negative number divided by a negative number results in a positive number.

$$(-36) \div (-6) = 6$$

The result is $\boxed{6}$.

f)

A positive number multiplied by a negative number results in a negative number.

$$14 \times (-2) = -28$$

The result is $\boxed{-28}$.

g)

A negative number divided by a negative number results in a positive number.

$$-24 \div (-8) = 3$$

The result is $\boxed{3}$.

h)

A negative number divided by a positive number results in a negative number.

$$-100 \div 20 = -5$$

The result is $\boxed{-5}$.

2. Calculate:

a)

$$12 \times 8 = 96$$

The result is $\boxed{96}$.

b)

A positive number multiplied by a negative number results in a negative number.

$$12 \times -8 = -96$$

The result is $\boxed{-96}$.

c)

A negative number multiplied by a positive number results in a negative number.

$$-12 \times 8 = -96$$

The result is $\boxed{-96}$.

d)

A negative number multiplied by a negative number results in a positive number.

$$-12 \times -8 = 96$$

The result is $\boxed{96}$.

3. Calculate:

a)

$$24 \div 6 = 4$$

The result is $\boxed{4}$.

b)

A positive number divided by a negative number results in a negative number.

$$24 \div -6 = -4$$

The result is $\boxed{-4}$.

c)

A negative number divided by a positive number results in a negative number.

$$-24 \div 6 = -4$$

The result is $\boxed{-4}$.

d)

A negative number divided by a negative number results in a positive number.

$$-24 \div -6 = 4$$

The result is $\boxed{4}$.

4. Calculate:

a)

Any number multiplied by zero is zero.

$$-25 \times 0 = 0$$

The result is $\boxed{0}$.

b)

Any number multiplied by one is itself.

$$-12 \times 1 = -12$$

The result is $\boxed{-12}$.

c)

$$12 \times 2 = 24$$

The result is $\boxed{24}$.

d)

A negative number multiplied by a positive number is negative.

$$-4 \times 3 \times 2 = -12 \times 2$$

$$-12 \times 2 = -24$$

The result is $\boxed{-24}$.

e)

A positive number multiplied by a negative number is negative.

$$4 \times -3 \times 2 = -12 \times 2$$

$$-12 \times 2 = -24$$

The result is $\boxed{-24}$.

f)

A negative number multiplied by a positive number is negative.

$$-4 \times 3 \times -2 = -12 \times -2$$

A negative number multiplied by a negative number is positive.

$$-12 \times -2 = 24$$

The result is $\boxed{24}$.