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
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.
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.
Yea because the collection of rules that define which procedures to perform first order to evaluate a given mathematical expression.
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
false
Yes, unless all of the operations are additions, or all of them are multiplication. Otherwise, changing the order will change the result. The order of operations is determined by parentheses, or if none are present, by the PEDMAS sequence.The order in which mathematical operations must be done has the acronym PEDMAS or PEMDAS. PEDMAS or PEMDAS, no matter how you spell it, gives the correct order for mathematical operations: 1. P - Parentheses, 2. E - Exponents, MD - Multiplication and Division, AS - Addition and Subtraction.
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
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.
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.
Yea because the collection of rules that define which procedures to perform first order to evaluate a given mathematical expression.
order of operations:);evaluate powers first, parenthesis second, multiplication and division third (if there is a combination of the two it doesn't matter the order you evaluate), and addition and subtraction last (like multiplication-division it doesn't matter the order you evaluate these two, a helpful tool for this step is to change all minus operations to plus negative).
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
Matter
Chemists perform experiments to find out different kinds of matter can change.
No. Multiplication is commutative so the order of the multiplicands does not matter. Multiplication is associative so the order in which the operations are carried out does not matter.
The difference is that Density is one way of measuring matter, its a math expression. While Matter is a physical substance.