Question

Evaluate: 6 - 5 + 5 - (5 x 3 - 9) + 93.

Answer 1

The numerical expression 6 - 5 + 5 - (5 x 3 - 9) + 93 evaluates to 93, through a series of steps including simplifying the expression inside parentheses, and then sequentially applying addition and subtraction.

Step-by-step explanation:

The question involves evaluating a numerical expression using the correct order of operations, which in mathematics is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's break down the expression step by step:

1. Resolve the expression inside the parentheses (5 x 3 - 9). Multiplying first, we have 15 - 9. Then we subtract, which gives us 6.
2. Replace the parentheses with the value obtained in step 1: 6 - 5 + 5 - 6 + 93.
3. Perform addition and subtraction from left to right: 6 - 5 + 5 - 6 + 93 equals 1 + 5 - 6 + 93 equals 6 - 6 + 93.
4. Simplify further: 0 + 93 equals 93.

Therefore, the answer is 93.