Simplify the expression 82+9(12÷3×2)−7. Explain each of your steps.
can someone explain how to solve this...?
oops its 8^2
Here's where PEMDAS is needed to determine what order of operations is necessary.
Parentheses
Exponents
Multiply
Divide
Add
Subtract
We'll be glad to check your answer.
To simplify the expression 82 + 9(12 ÷ 3 × 2) - 7, follow the order of operations (also known as PEMDAS or BODMAS), which dictates the sequence of operations to solve an expression:
Step 1: Simplify the division and multiplication within parentheses (12 ÷ 3 × 2):
- Divide 12 by 3: 12 ÷ 3 = 4.
- Multiply the result by 2: 4 × 2 = 8.
The expression becomes: 82 + 9(8) - 7.
Step 2: Apply multiplication: Multiply 9 by 8:
- 9 × 8 = 72.
The expression becomes: 82 + 72 - 7.
Step 3: Perform addition and subtraction from left to right:
- Add 82 and 72: 82 + 72 = 154.
- Subtract 7 from the result: 154 - 7 = 147.
Therefore, the simplified expression is 147.
Here are the basic steps to follow to simplify an algebraic expression:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants.
I assume you mean (12/3 * 2) = (4 * 2) = 8
This is your start. Work it from there.