Expressions (mathematical)

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Algebraic Expressions&Numerical Expressions

EXPRESSIONS (MATHEMATICAL)

What's that?It‘s a when we find a:OperationUp to the real numbers R(Probable) Potencies (Probable) Square roots(Probable) Parenthesis, brackets, keys(Probable) Absolute value

NUMERICAL EXPRESSIONS

Some examples of numerical expressions:

EXAMPLES

Giving an example, .According to the rule of the signs, minus with minus gets plus; so it‘ll be ; which is 9. Answer is 9. It also happens in multiplication and division. Remembering that:

SOLVING THE EXPRESSIONS

What’s “PEMDAS”?!Over here we see that parenthesis, brackets and keys are ALWAYS FIRST, no matter what. Exponents (Potency & roots) is 2nd. Division and multiplication are the same qualification, so they are both 3 rd.Addition and subtraction are also the same qualificationon, so they are both 4 th.

PEMDAS

A lot of people confuse themselves with “PEMDAS”. For example:What’s Most of the people say it‘s 0; well they‘re wrong, the answer of this expression is 3. According with “PEMDAS”, we multiply fi rst in this expression.So .

USING PEMDAS

What’s the diff erence between numerical expressions and algebraic expressions?

Numerical expressions are always with numbers, and algebraic expressions are always with variables; but some contain coeffi cient of the variable.

ALGEBRAIC EXPRESSIONS

ETC.

EXAMPLES OF ALGEBRAIC EXPRESSIONS

What are terms?A term is a presence of the variable sign. It‘s also used in numerical expressions and algebraic expressions. For example:

It has 3 terms, why? Because we have 2 positive x‘s, and seems to have a negative xyz.

TERMS

In the following algebraic expression we‘ll find the literal part and the coeffi cient.

Literal PartThe literal part are the variables in display. The literal part is: Coeffi cientThe coeffi cient are the numbers in display. The coeffi cient is:

LITERAL PART & COEFFICIENT

Giving the example Simplifying we‘ve got .We use the simplifying rule. Adding, subtracting, multiplying and dividing common terms like the past one, we can simplify the algebraic expression. It can add, subtract, multiply and divide. Other example: Simplifying we‘ve got . We multiply the numbers then see if we‘ve got common terms, if so, we put them in potency. If not, we put them together.

SIMPLIFYING ALGEBRAIC EXPRESSIONS

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