Simplify the expression
82 + 9 (12÷3×2) − 7.
Explain each of your steps.
No problem @Trikzz! Happy to help!
Sorry, I meant the answer for 82 + 9 (12÷3×2) − 7 would be 147
Thank you @Seriana
The simplified expression for 82 + 9 (12÷3×2) − 7, would be 147.
Here are the steps:
1. 82 + 9*(4*2) - 7
2. 82 + 9(8) - 7
3. 82 + (9*8) - 7
4. 82 + 72 - 7
5. 154 - 7
6. 147
Therefor, you answer would be 147. Hope this helps!
To simplify the expression 82 + 9 (12÷3×2) − 7, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Evaluate the parentheses
Inside the parentheses, we have the expression 12÷3×2. According to the order of operations, we should perform the division first, and then the multiplication.
12 ÷ 3 = 4
Now we have 4 × 2 = 8.
So replacing (12÷3×2) with 8, our expression becomes:
82 + 9 (8) − 7.
Step 2: Perform the multiplication
Next, we need to multiply 9 by 8.
9 × 8 = 72.
The expression now becomes:
82 + 72 − 7.
Step 3: Evaluate addition and subtraction from left to right
Now we have an expression with only addition and subtraction. We can simply calculate these operations from left to right.
82 + 72 = 154.
154 − 7 = 147.
So the final simplified expression is 147.
In summary, we applied the order of operations: first evaluated the expression within parentheses, then performed the multiplication, and finally computed the addition and subtraction.