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.
If you do not follow PEMDAS, your answer will be wrong.
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.
order of operations
They both use PEMDAS or Order of Operation
Numerical expressions solely include numbers, while algebraic expressions may contain a variable like x. An example of a numerical expression is 1+2 and an example of an algebraic expression is 2x+3y=0.
This is called algebra. In algebra you can have many operations. You can add, subtract, multiply, divide, square, cube, square root, factor, or distribute. There are others but these are the main ones. You use these operations to find the numerical value of the variable.
To evaluate an expression means to find its numerical value. A power consists of a base and an exponent. According to the order of operations, operations inside parentheses (or other grouping symbols) are performed first, followed by the evaluation of powers ... then (*/) and (+-).
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.
numerical expression
order of operations
the order of operations
A combination of numbers and operations is called a Numerical Expression.
what mathematicians agreed on an so that numercial expressions would have only one value?
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.
It is a collection of numerical values along which are combined using arithmetic operations such as powers, addition, subtraction, multiplication and division.
It is: 245,510,000,000
None of the expressions on that list is a numerical one.
Yes.
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.