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You will always get the same result in a numerical expression no matter the order in which you perform the operations true or false?
False. Consider the expression 10 - 9 - 8 and let the brackets denote the operation to be performed next (if there are more than one). Then 10 - (9 - 8) = 10 - 1 = 9 While (10 - 9) - 8 = 1 - 8 = - 7
Will you always get the same result in a numerical expression no matter the order in which you perform the operations?
No. Here is a simple counterexample: 1 + 2 x 3 The answer is either 7 (if using the standard convention of doing the multiplication first), or 9 (if you ignore this standard and do the addition first). When doing a series of only additions, or only multiplicatons, you can do the additions (or the multiplications) in any order.
What is a math experssion?
If you mean Expression, then a math expression is any collection of numbers, variables, and operations with no given answer Examples of Expressions: 2+2 2x+7 53+7f Examples of what are NOT expressions (AKA, Equations): 2+2=4 2x+7=y 10x+7=0 The difference is all in whether or not you have a given answer on the other side of the "=". It doesn't matter whether or not it gives you the numerical value of it. So, a variable is still a possible answer to an equation to make it not an expression.
Does it matter in which order we do each operation?
Yea because the collection of rules that define which procedures to perform first order to evaluate a given mathematical expression.
Why does the order of operations matter?
Order of operations matters because you could potentially get an incorrect answer by not using it. e.g. (/ means divide by or represents a fraction [same thing]) 13+2/3 without brackets is 41/3 while (13+2)/3 = 15 Brackets Exponents (powers) Multiplication Division Addition Subtraction If you perform your operations by this rule you will always gain the correct answer
