Simplify the expression 8^2 + 9 (12 / 3 x 2) - 7 Explain each of your steps.
PEMDAS
PM: 8^2 + 9 (4 x 2) - 7 = 8^2 + 9(8) - 7
P: 64 + 9*8 - 7
M: 64 + 72 - 7
AS: 136 - 7 = 129
To simplify the expression 8^2 + 9 (12 / 3 x 2) - 7, follow the order of operations (also known as PEMDAS):
Step 1: Simplify the exponent.
8^2 = 8 * 8 = 64
Step 2: Simplify the division inside the parentheses.
12 / 3 = 4
Step 3: Simplify the multiplication inside the parentheses.
4 x 2 = 8
Step 4: Multiply the number outside the parentheses by the result inside the parentheses.
9 x 8 = 72
Step 5: Add or subtract the resulting numbers.
64 + 72 - 7 = 136 - 7 = 129
Therefore, the simplified expression is 129.
To simplify the expression 8^2 + 9(12 / 3 × 2) - 7, we need to follow the order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Step 1: Exponents
We start by evaluating any exponents. In this case, we have 8^2. To compute this, we multiply 8 by itself. So, 8^2 is equal to 8 × 8, which gives us 64.
Now, the expression becomes:
64 + 9(12 / 3 × 2) - 7
Step 2: Parentheses
Next, we evaluate any expressions inside parentheses. We have 12 / 3 × 2 inside the parentheses. We should perform the division first and then the multiplication.
12 divided by 3 is equal to 4.
So, the expression becomes:
64 + 9(4 × 2) - 7
Now, we perform the multiplication inside the parentheses.
4 × 2 is equal to 8.
So, the expression becomes:
64 + 9(8) - 7
Step 3: Multiplication
Now, we perform any multiplications from left to right. We have 9 times 8, which gives us 72.
So, the expression becomes:
64 + 72 - 7
Note: There are no divisions, additions, or subtractions to perform at this point.
Step 4: Addition and Subtraction
Finally, we perform any additions and subtractions from left to right.
64 + 72 is equal to 136.
So, the expression becomes:
136 - 7
136 minus 7 is equal to 129.
Therefore, the simplified expression is 129.