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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.
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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
What is the difference between evaluate and calculate in maths?
In mathematics, "calculate" typically refers to performing specific operations, such as addition, subtraction, multiplication, or division, to find a numerical result. On the other hand, "evaluate" involves determining the value of a mathematical expression by substituting specific values for variables and simplifying the expression to obtain a numerical answer. While calculating focuses on the process of arithmetic operations, evaluating involves analyzing and simplifying mathematical expressions to find their values.
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?
Which of these is a numerical expression?
None of the expressions on that list is a numerical one.
