Evaluating Expressions With Parentheses And Exponents Using Substitution Of Variables 2 Video Tutorial
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Evaluating Expressions With Parentheses And Exponents Using Substitution Of Variables 2
This tutorial will show you how to evaluate expressions when given values for the variables. We use the distributive property to multiply a coefficient by the given binomial. We also are showing you how to use the order of operations, by handling parentheses, then multiplication followed by addition next.
Evaluating expressions with parentheses and exponents using substitution of variables 2 involves arithmetic, arithmetic operations, distributive property, evaluating expressions, exponents, expressions, number sense, operations, order of operations.
Evaluating Expressions
For a given combination of values for the free variables, an expression may be evaluated, although for some combinations of values of the free variables, the expression may be undefined. Thus an expression represents a function whose inputs are the values assigned the free variables and whose output is the resulting value of the expression.
Exponents
Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation corresponds to repeated multiplication:
a1 = a
a2 = a × a
a3 = a × a × a
a4 = a × a × a × a
and so on.
Expressions
An expression is a combination of numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables arranged in a meaningful way which can be evaluated. Bound variables are assigned values within the expression (they are for internal use) while free variables can take on values from outside the expression.
Order Of Operations
If an expression has more than one operation, the order in which you do the operations becomes important.
If the expression has parentheses, you should first do the operations inside parentheses.
After taking care of parentheses, you can do all multiplication and division operations.
Finally, you can do all addition and subtraction operations.
The mnemonic "Please Excuse My Dear Aunt Sally" (PEMDAS) commonly used to remember the order:
Parentheses, Exponentiation, Multiplication, Division, Addition, Subtraction.
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