# Basics of Mathematics

1. Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression. The order of operations is a rule that always applies to mathematical problems. It includes addition, subtraction, multiplication and division as well as grouping of numbers (such as in parentheses and powers). It gives a definite order of how to do a problem involving multiple operations. Without these cut and dry rules that the order of operations spells out, you would potentially be able to look at an equation and find multiple ways to solve it, potentially all with different answers. Operations must be performed in a specific order sequence in order to get the correct answer. I was always taught to remember the saying “Please Excuse My Dear Aunt Sally”- I have also heard people say “PEMDAS”. It stands for parentheses

exponents

multiplication

division

addition

o subtraction

2. Provide an example of a real-life situation where a specific order of steps is necessary for a proper end result. What will happen if the proper order is not followed? (Humor and creativity are encouraged, if used appropriately. There is always a specific order of steps when it comes to everything in the world of being a hairstylist. This is definitely something that I personally use on a day to day basis. When mixing color, you first must analyze the condition and state of the hair, consult with your guest and decipher what look they are going for. At that point you would decide which color or colors you will be using, come up with a color formula and amount, and decide things like which type of color you plan to use (demi permanent or permanent), developer type and which type of method you will use to apply it. Then you would need to see to it that your guest has a smock on, and that you are wearing gloves before application of the color. Not following the order...

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