Solve the following multiplication and division problems involving directed numbers: Question 3: Solve the following multiplication problems: c) (-1/4) (-1/4) 50 d) 0.24 1.3 (-3). Question 4: Divide t

A negative multiplied by a negative is a positive.

$$(0.0625) \times (50)$$

$$3.125$$

The product is $\boxed{3.125}$.

d)

A positive multiplied by a negative is a negative.

$$(0.312) \times (-3) = -0.936$$

The product is $\boxed{-0.936}$.

Question 4: Divide the following directed numbers:

a)

A negative divided by a negative is a positive.

$$(-300) \div (-6) = 50$$

The solution is $\boxed{50}$.

b)

$$-2$$

The solution is $\boxed{-2}$.

c)

A positive divided by a negative is a negative.

$$(0.5) \div (-0.25) = -2$$

A negative divided by a negative is a positive.

$$(-2) \div (-0.2) = 10$$

The solution is $\boxed{10}$.

d)

To divide by a fraction, multiply by its reciprocal.

$$(200) \div \left(\frac{1}{4}\right) = 200 \times \frac{4}{1} = 800$$

Convert the decimal to a fraction for easier division.

$$0.2 = \frac{2}{10} = \frac{1}{5}$$ $$(800) \div \left(\frac{1}{5}\right) = 800 \times \frac{5}{1}$$

$$800 \times 5 = 4000$$

The solution is $\boxed{4000}$.