- #1
Jimmy84
- 191
- 0
Homework Statement
simplify 4[12-3(8-5)]-1
and simplify 5x-3{2x-2[x-2(1-x)]}
Norway said:The attempt at a solution, please.
The purpose of simplifying 4[12-3(8-5)]-1 is to reduce the expression to its simplest form by following the order of operations. This helps to make the expression easier to understand and work with.
The order of operations is a set of rules that dictate the order in which mathematical operations should be performed. In this expression, we follow the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), and Addition and Subtraction (left to right).
To simplify this expression, we first start by solving the innermost parentheses, 8-5, which equals 3. This leaves us with 4[12-3(3)]-1. Next, we multiply 3 by 3, which gives us 4[12-9]-1. Then, we solve the remaining parentheses, 12-9, which equals 3. Our expression now becomes 4[3]-1. Finally, we multiply 4 by 3, which gives us the final answer of 12-1, or 11.
Following the order of operations ensures that the expression is solved correctly and consistently. It also helps to avoid confusion and mistakes when working with more complex expressions. Without following the correct order, the answer may be incorrect or different from what was intended.
Some common mistakes to avoid when simplifying an expression like 4[12-3(8-5)]-1 include forgetting to solve the innermost parentheses first, not following the order of operations, and making calculation errors. It is important to carefully work through each step and double-check the final answer to ensure accuracy.