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Basically the same way that you evaluate other types of expressions with variables:
* You replace the variables by the value assigned to the variables.
* Then you do the specified calculations.
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How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
Can algebraic expressions have exponents?
Yes.
What is the process for evaluating expressions called?
An algebraic expression is a process for evaluating expressions. Replacing variables with numerals and following a standard order of operations is used for the process.
What is an expression that substitutes numbers for the variables in the expressions?
It is "evaluating".
Arithmetic rules for evaluating expressions and equations?
formula expression
How do you find GCF with variables and exponents?
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
Rule that states the sequence to be used when evaluating expressions?
Q: What is the rule that states the sequence to be used when evaluating expressions? A: The rule that states the sequence to be used when evaluating expressions is know as the "order of operations."
Can algebraic expressions have exponents?
Yes.
What is a process for evaluating expressions?
Order of Operations
What is the process for evaluating expressions called?
An algebraic expression is a process for evaluating expressions. Replacing variables with numerals and following a standard order of operations is used for the process.
What is an expression that substitutes numbers for the variables in the expressions?
It is "evaluating".
What four-steps should be used in evaluating expressions Can these steps be skipped or rearranged?
You should do everything in the parenthesis. Then you do the exponents. Then you multiply and divide from left to right. Then finish with addition and subtraction doing left to right. You cannot do these out of order.
A rule that states the sequence to be used when evaluating expressions?
pemdas
Arithmetic rules for evaluating expressions and equations?
formula expression
When evaluating a numerical expression you should simplify all expressions inside what first?
Think of the saying,"Please Excuse My Dear Aunt Sally." You solve inside the parentheses first, then exponents, multlipication/division, and finally addition/subtraction.
When dividing variables with exponents subtract exponents?
Yes. When you divide one variable with an exponent from another, you subtract the exponents
