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Q: An agreed set of rules to evaluate numerical expressions?
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Why is order of operations necessary for simplifying numerical expressions?

Because if numerical expressions were simplified in any old order, then different orders would give different answers.For example,2+3*5 = 2 + 15 = 17But if you did it as 2+3*5 = 5*5 = 25The rules are there to ensure that the same everyone arrives at the same answer every time.


What is a special set of rules that gives the order in which calculations a done to solve a problem?

what is a special set of rules that gives the order in which calculations are done to solve a problem


What is a mathematical phrase that contains operations numbers or variables?

A mathematical phrase that contains operations, numbers, or variables is called an algebraic expression. Algebraic expressions consist of constants (numbers), variables (letters representing unknown quantities), and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. These expressions can be simplified, evaluated, or manipulated using algebraic rules and properties.


When a symbol such as is placed between 2 expressions?

That's called an "operator", for example, the plus sign in 3 + 4. The numbers are the "operands" - that is, the numbers (or expressions) operated upon. More precisely, a binary operator, since it works with two operands. In theory, an operand is just a special way of writing a function, since a third number is calculated, according to certain rules, from the other two.


Are the rules of exponents used to simplify expressions?

Why not? 4 * 4 * 4 + 6 simpler as, 43 + 6 ============same with variables X * X * X + 6 X3 + 6 ===========and many other ways could be thought of here