Final answer:
The value of the expression 3⋅[(30−8)÷2+2] is found by applying the order of operations(BIDMAS/BODMAS), which results in the value 39.
Step-by-step explanation:
To solve the expression 3⋅[(30−8)÷2+2], follow the order of operations - BIDMAS/BODMAS i.e., Brackets, Indices/orders (or exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Inside of the brackets: perform the subtraction operation. This results in 22 (30 - 8)
- Next, divide the result by 2, this equals to 11 (22 ÷ 2)
- Add 2 to the result, which gives 13 (11 + 2)
- Finally, multiply our result by 3, which equals 39 (3 x 13)
Therefore, the value of the complete expression 3⋅[(30−8)÷2+2] is 39.
Learn more about Order of Operations (BIDMAS/BODMAS)