Question

Evaluate each numerical expression using the order of operations above:

A. 26 - [(25 – 11) – 23]

A) 5
B) 26
C) 32
D) 38

Answer 1

To solve the expression 26 - [(25 – 11) – 23], we simplify within the parentheses first to get 26 - (-9), which is equivalent to 26 + 9, resulting in an answer of 35, which is not listed in the options.

Step-by-step explanation:

To evaluate the numerical expression 26 - [(25 – 11) – 23] using the order of operations, which are Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right), we follow these steps:

1. First, solve the innermost parentheses: (25 – 11) which equals 14.
2. Next, subtract the result from step 1 from 23, which is in the outer parentheses: (14 – 23), which equals -9.
3. Lastly, subtract the result from step 2 from 26: 26 - (-9).
4. Remembering that subtracting a negative is the same as adding, this becomes 26 + 9, which equals 35.

None of the given options (A, B, C, D) are correct as the right answer is 35.