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Because if numerical expressions were simplified in any old order, then different orders would give different answers.

For example,

2+3*5 = 2 + 15 = 17

But if you did it as 2+3*5 = 5*5 = 25


The rules are there to ensure that the same everyone arrives at the same answer every time.

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7y ago
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7y ago

If you do not follow PEMDAS, your answer will be wrong.

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7y ago

That's because you get DIFFERENT results, depending on which operation you do first. Here is a simple example:1 + 2 x 3

This can either be 9 or 7, depending which you do first.

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Q: Why is order of operations necessary for simplifying numerical expressions?
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Related questions

What is the difference between simplifying and evaluating algebraic expressions?

Simplifying an expression is getting rid of any brackets or parentheses, performing as many operations as you can - including combining like terms. To evaluate an expression you would substitute the numerical values of all the variables, carry out all the operations (addition, multiplication etc) in the expression to reach the answer - the numerical value of the expression.


What is expressions that contain only numbers and operations?

numerical expression


An agreed set of rules to evaluate numerical expressions?

order of operations


Mathematicians agreed on an what so that numerical expressions woul have only one value?

the order of operations


What is a combination of numbers and operations?

A combination of numbers and operations is called a Numerical Expression.


What did Mathematicians agreed on so that numerical expressions would have only one value?

what mathematicians agreed on an so that numercial expressions would have only one value?


Whast are the four operations that can be used in math expressions in Alice?

The four basic operations that can be used in math expressions in Alice are addition (+), subtraction (-), multiplication (*), and division (/). These operations allow you to perform calculations and manipulate numerical values in Alice programming.


What are arithmetic expressions?

It is a collection of numerical values along which are combined using arithmetic operations such as powers, addition, subtraction, multiplication and division.


How do you do numerical expressions?

It is: 245,510,000,000


Which of these is a numerical expression?

None of the expressions on that list is a numerical one.


The numerical expressions have numbers?

Yes.


Can numerical expressions have the same value?

Yes, numerical expressions can have the same value. For example, the expressions 2+3 and 5 both have the value of 5. Similarly, the expressions 2x3 and 6 both have the value of 6. In general, any two numerical expressions that evaluate to the same number will have the same value.