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Addition:

1. look for like terms, combine like terms by adding their numerical coefficient. In adding the numerical coefficient, you have to consider the rules in adding integers.

a. to add two numbers having like signs, add their absolute values and prefix their common sign, then bring down the literal coefficient.

b. to add two numbers having unlike signs, find the difference of their absolute values and prefix to the difference sign of the number having a greater absolute value, then bring down the literal coefficient.

Subtraction:

1. multiply the subtrahend by -1 and proceed to adding algebraic expression.

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Q: Rules in addition and subtraction of algebraic expression?
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Continue Learning about Algebra

What are the rules when solving a problem with many different operations?

PEMDAS. Parenthases, exponent, multiplication, division, addition, subtraction. Do parenthases first then exponents. Multiplication and divison are left to right. Then it's addition and subtraction, left to right. Hope I helped!


When simplifying an expression you perform which operations inside grouping symbols first?

Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.


What are rules telling in what order to do operations?

"PEMDAS" P- Parentheses E- Exponents M- Multiplication D- Division A- Addition S- Subtraction Note: multiplication and division are interchangeable. addition and subtraction are also interchangeable. parentheses THEN must stay the same, though.


In brackets rules on addition and multiplication which first?

Remember the golden rule: BIMDAS. If you haven't heard it before B means bracket, I means indices, M means multiplication, D is division, A is Addition and S is subtraction. So to answer your question multiplication comes before addition.


Does it matter what order you do your operations in equations with variables on both sides?

Not if you do all the calculations correctly. For example, in an expression such as:3(4 + 5) the parentheses specify that you should do the addition first. But in an algebraic expression, such as 3(x + 2) you can't even calculate "x + 2" as long as you don't know the value of "x"; so it might make more sense to divide by 3 (on both sides of the equation, of course), to get rid of the 3. Or you might open parentheses using the distributive property. There are often different ways to manipulate such an expression (or an equation that contains such an expression); if you do everything correctly, you should get the same result in all cases.

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