To understand why (-2)(-3)=6, we can use a pattern approach.
Step 1: Let's consider multiplying positive numbers:
- When we multiply two positive numbers, the product is positive (e.g., (2)(3)=6).
Step 2: Now, let's consider multiplying negative numbers:
- When we multiply two negative numbers, the product is also positive. For example:
-2 * -3 = 6.
Step 3: Now, let's think about what happens when we multiply a positive number with a negative number:
- When we multiply a positive number with a negative number, the product is negative. For example:
(2)(-3) = -6.
Step 4: Finally, when we multiply a negative number with a positive number, the product is also negative. For example:
(-2)(3) = -6.
Answer: Therefore, following the pattern, (-2)(-3) results in a positive product of 6.