Final answer:
To find a missing number in directed numbers division and multiplication, we apply rules related to the multiplication and division of integers, which determine the sign of the result based on the signs of the numbers involved.
Step-by-step explanation:
To find the missing number in the directed numbers division and multiplication, we need to understand the rules for multiplication and division of integers.
- When two positive numbers multiply, the answer has a positive sign, e.g., 2x3 = 6.
- When two negative numbers multiply, the answer also has a positive sign, e.g., (-4) x (-3) = 12.
- When the numbers multiplied have opposite signs, the answer has a negative sign, e.g., (-3) x 2 = -6 and 4 x (-4) = -16.
- Division follows the same rules as multiplication regarding sign. For example, 4 / 2 = 2, (-4) / 2 = -2.
Based on these rules, if we do not have the specific operation to find the missing number, we can at least determine the sign of the result by looking at the given numbers.