Final answer:
The expression 7² – 3 + 9 × 8 ÷ 2 is solved by first squaring 7 to get 49, then doing the multiplication and division to get 36, and finally adding and subtracting to find that w equals 82.
Step-by-step explanation:
To solve the expression 7² – 3 + 9 × 8 ÷ 2 and represent the answer as "w", follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
- Calculate the exponent: 7² = 49.
- Perform multiplication and division from left to right: 9 × 8 = 72, then 72 ÷ 2 = 36.
- Perform addition and subtraction from left to right: 49 – 3 + 36 = 46 + 36 = 82.
Therefore, the value of w is 82.
To solve the expression 7² - 3 + 9 × 8 ÷ 2, we need to follow the order of operations, also known as PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, we need to calculate the exponent 7², which is 49. Then, we multiply 9 by 8 to get 72, and divide that result by 2 to get 36. Lastly, we subtract 3 from 49 and add the result to 36 to get the final answer.
w = 49 - 3 + 36 = 82