Final Answer:
Multiplying numbers involves finding the product of the given numbers. In each case:
a. 2 multiplied by 5 equals 10.
b. 3 multiplied by -4 equals -12.
c. -6 multiplied by 8 equals -48.
d. 4 multiplied by 9 equals 36.
e. 7 multiplied by -5 equals -35.
f. -3 multiplied by -12 equals 36.
g. -7 multiplied by 0 equals 0.
h. 15 multiplied by -4 equals -60.
i. -10 multiplied by 8 equals -80.
j. 9 multiplied by 8 equals 72.
k. -4 multiplied by 11 equals -44.
l. -25 multiplied by -5 equals 125.
m. 5 multiplied by -9 equals -45.
n. -7 multiplied by -6 equals 42.
Explanation:
In these multiplication expressions, each equation involves the product of two numbers. Let's break down a few examples for clarity. For instance, in (a), 2 multiplied by 5 equals 10. The multiplication of a positive number (2) and another positive number (5) results in a positive product. Moving to (b), 3 multiplied by -4 equals -12. When a positive number (3) is multiplied by a negative number (-4), the product becomes negative. In (g), -7 multiplied by 0 equals 0. Any number multiplied by zero yields zero, irrespective of the sign of the other number.
For (l), -25 multiplied by -5 equals 125. When two negative numbers are multiplied, the product is positive. Understanding these results requires recognizing the rules of multiplication, where the product is influenced by the signs of the multiplied numbers. The multiplication of like signs (positive and positive, or negative and negative) results in a positive product, while the multiplication of unlike signs (positive and negative) yields a negative product.
These computations showcase fundamental principles in arithmetic, laying the groundwork for more complex mathematical operations. In summary, the solutions to each multiplication problem are determined by the combination of positive and negative factors involved in the operation.