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Evaluating expressions is like following a recipe in which every step needs to be taken in the right order to get the desired result. Mathematical expressions are made up of numbers, operations, and sometimes variables. - To evaluate an expression means to find its value using the order of operations.- These operations include addition, subtraction, multiplication, and division.Expressions can appear complex, but by following the proper steps, they become much easier to manage. It's essential to understand what each part of the expression represents and in which order things should be calculated. For instance, in a problem like \( -3(5-4) \), you first focus on calculating what's inside any parentheses. This ensures the expression has been simplified as much as possible before dealing with other operations like multiplication.

Multiplication is one of the basic arithmetic operations and is repeated addition. When you multiply two numbers, you are essentially adding one of the numbers to itself multiple times.For example, 3 multiplied by 2 (written as \(3 \times 2\)) means adding the number 3 two times, which equals 6.- When negative numbers are involved, remember: - A positive number times a negative number results in a negative number. - Two negative numbers multiplied together give a positive result.In our expression \(-3(1)\), you are multiplying -3 by 1. This can be thought of as \(-3 + 0\), because the 1 doesn’t change the value of -3, so the result remains -3.

Parentheses are used in mathematical expressions to indicate that the operations enclosed should be performed first. They significantly affect the outcome of the expression because they modify the standard order of operations.- Inside the parentheses, follow the order of operations: - Perform any operations such as addition or subtraction.In the expression \(5 - 4\), the operation inside the parentheses is subtraction, resulting in 1. Only after calculating the operations inside the parentheses do we move on to other operations such as multiplication outside the parentheses.Using parentheses correctly can make complex expressions more straightforward by clearly indicating the calculation sequence, ensuring you get the correct result every time.