Final answer:
The expressions were solved using the BEDMAS rule for order of operations: a) 1323, b) -125, and c) 3.
Step-by-step explanation:
The question requires us to solve expressions using the BEDMAS (Brackets, Exponents, Division/Multiplication, Addition/Subtraction) rule for order of operations.
a. The expression is (-7)(-9) · -3 (-7). To solve this, according to the order of operations, we first should calculate the multiplication of numbers:
- Multiplication of negative numbers: (-7)(-9) = 63, as multiplying two negative numbers results in a positive number.
- Then we multiply this result by -3: 63 · -3 = -189.
- Finally, we multiply by (-7): -189 (-7) = 1323, as again, multiplying two negative numbers results in a positive number.
b. The expression is ((22+3) · 5) · -1. Here, we should begin with the innermost brackets first:
- Addition within brackets: 22 + 3 = 25.
- Next we multiply by 5: 25 · 5 = 125.
- Then multiply the result by -1: 125 · -1 = -125, as multiplying by a negative number results in a negative number.
c. The expression is -8 + 11. This is a simple addition, where we combine a negative and a positive number:
- According to addition rules, -8 + 11 equals 3.