what is the value of 16 + 9 divided by 3^2 - 2?
Show all the steps you used to solve this problem.
To solve the expression 16 + 9 ÷ 3^2 - 2, follow the order of operations (PEMDAS/BODMAS) to calculate the value step by step:
Step 1: Evaluate the exponentiation (3^2)
3^2 = 3 × 3 = 9
After simplifying, the expression becomes:
16 + 9 ÷ 9 - 2
Step 2: Solve the division (9 ÷ 9)
9 ÷ 9 = 1
After simplifying further, the expression becomes:
16 + 1 - 2
Step 3: Evaluate the addition and subtraction
16 + 1 = 17
17 - 2 = 15
Therefore, the value of 16 + 9 ÷ 3^2 - 2 is 15.
To solve this problem, we need to follow the order of operations, which is also known as PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction).
Step 1: Calculate the value of 3^2 - 2
3^2 means 3 raised to the power of 2, which is 3*3 = 9. Subtracting 2 from 9 gives us 7.
Step 2: Divide 9 by 3^2 - 2
Dividing 9 by 7 gives us 1.285714286 (rounded to 9 decimal places).
Step 3: Add 16 to the result
Adding 16 to 1.285714286 gives us 17.285714286 (rounded to 9 decimal places).
Therefore, the value of 16 + 9 divided by 3^2 - 2 is approximately 17.285714286.
To solve the expression 16 + 9 ÷ 3^2 - 2, we can follow the order of operations (also known as PEMDAS/BODMAS):
Step 1: First, we need to simplify any exponents. In this case, we have 3^2, which equals 9.
Now, the expression becomes: 16 + 9 ÷ 9 - 2.
Step 2: Next, we perform the division. 9 ÷ 9 equals 1.
The expression then becomes: 16 + 1 - 2.
Step 3: Perform the addition and subtraction from left to right.
16 + 1 equals 17.
17 - 2 equals 15.
Therefore, the value of 16 + 9 ÷ 3^2 - 2 is 15.