82+9(12÷3⋅2)−7.
Explain each of your steps.
To solve the expression 82 + 9(12 ÷ 3⋅2) − 7, we follow the order of operations, known as PEMDAS (parentheses, exponents, multiplication and division - from left to right, addition and subtraction - from left to right).
Step 1: Simplify the expression inside the parentheses (12 ÷ 3⋅2):
12 ÷ 3 = 4 (division is done first)
4 ⋅ 2 = 8 (multiplication is done second)
So, 12 ÷ 3⋅2 simplifies to 8.
Now we have: 82 + 9(8) − 7.
Step 2: Perform the multiplication inside the parentheses:
9(8) = 72 (multiplication is done next)
Now we have: 82 + 72 − 7.
Step 3: Perform the addition and subtraction from left to right:
82 + 72 = 154 (addition is done first)
Now we have: 154 − 7.
154 − 7 = 147 (subtraction is done last)
The final answer is 147.
To solve the expression 82+9(12÷3⋅2)−7 step by step, follow the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right):
Step 1: Evaluate the expression inside parentheses.
In the expression 12÷3⋅2, we perform the division operation first, following the left-to-right rule of the order of operations.
12 ÷ 3 = 4
The expression now becomes: 82+9(4⋅2)−7
Step 2: Continue evaluating the multiplication operation.
4⋅2 = 8
The expression now becomes: 82+9(8)−7
Step 3: Perform multiplication within the parentheses.
9(8) = 72
The expression now becomes: 82+72−7
Step 4: Perform addition and subtraction from left to right.
82+72 = 154
The expression now becomes: 154−7
Step 5: Perform the subtraction operation.
154−7 = 147
Therefore, the final result of the expression 82+9(12÷3⋅2)−7 is 147.