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Why the order of operations necessary for simplifying numerical expressions?
Order of operations is essential so that a mathematical statement can be read the same way by every person who reads it. Take for example the expression: 9 * 2 / 18 + 2 * 3 Without order of operations, this expression can have many different interpretations. These are just 3, but there are many, many more! (9*2)/(18+2*3) = .75 ((9*2)/(18+2))*3 = 2.7 9 * (2 / 18 + (2 * 3)) = 55. So, we use order of operations so that 9 * 2 / 18 + 2 * 3 is equal to 7 every time. In other words, without order of operations, we couldn't write math down and communicate it from one person to the next. We couldn't even keep track of our own calculations from one day to the next. Without order of operations, mathematics as a science would just fall apart.
What is a difficult order of operations problem?
Many expressions involve two or more operations. When simplifying such expressions, it is important to perform the operations in the following order:1. Perform any operation(s) within group symbols, which are:a. parentheses ( )b. brackets [ ]c. braces { }d. fraction bar /e. absolute-values bar | |f. radical sign2. Simplify all powers.3. Multiply and divide in order from left to right.4. Add and subtract in order from left to right.If you don't follow this order of operations, you will find a wrong answer.
What is the reason for the order of operations?
Those are conventions. Many people have gotten accustomed, over the years, to doing operations in a certain order. You can invent your own set of rules, but those would have to be clearly stated to avoid confusion... and it would serve no useful purpose. Having SOME order of operations defined is useful, to avoid having to write parentheses any time you have more than one operation.
Why is math easy or difficult?
Because for different people, and different levels, math may appear easy or hard. Different people have different scales of knowledge to comprehend the many skills of math.
How many different levels of measurement for variables exist?
Nominal or category;Ordinal scale;Interval scale; andRatio scale.
