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How are simplifying algebraic expressions similar to simplifying rational expressions?
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How do you add similar rational algebraic expressions?
Lcd/lcm
Why is it important to simplify radical expressions?
Simplifying radical expression is simply performing the operations in similar or like terms. This helps eliminate confusion and makes the equation simpler and easier to manage.
How are numerical and variable expressions similar?
These two are both similar because they are both expressions.
Can any number serve as the denominator in a rational expression?
The math definition of a rational number is any number a/b so that both a and b are integers, except b ( the denominator) cannot be zero. So if you can manipulate the expressions to become this form, a/b, then it is the equavilent of a rational expression. Rational algebraic expressions are similar, except they contain variables. The same condition for the denominator must be true. The entire expression in the denominator cannot equal zero, but the variable might equal zero. Ex. a 1 / (x-1) .... x-1 cannot equal zero, which means that x cannot equal 1. Ex. b (1/3)/(1/4) can be simplified into 4/3 which is a rational number.
How can algebraic expressions be simplified?
In many ways. It really depends on the algebraic expression. If several terms are added/subtracted, you can usually combine similar terms (terms that have the same combination of variables). If variables are multiplied, you can combine the same variable, adding the corresponding exponents. Sometimes expressions get simpler if you factor them; sometimes you have to multiply out (in other words, the opposite of factoring). Quite frequently, you have to use a combination of methods to simplify expressions. Take an algebra book, and look at some of the examples.
How do you add similar rational algebraic expressions?
Lcd/lcm
How are numerical expressions and algebraic expressions similar?
They both use PEMDAS or Order of Operation
How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
Why is it important to simplify radical expressions?
Simplifying radical expression is simply performing the operations in similar or like terms. This helps eliminate confusion and makes the equation simpler and easier to manage.
How are numerical and variable expressions similar?
These two are both similar because they are both expressions.
Can any number serve as the denominator in a rational expression?
The math definition of a rational number is any number a/b so that both a and b are integers, except b ( the denominator) cannot be zero. So if you can manipulate the expressions to become this form, a/b, then it is the equavilent of a rational expression. Rational algebraic expressions are similar, except they contain variables. The same condition for the denominator must be true. The entire expression in the denominator cannot equal zero, but the variable might equal zero. Ex. a 1 / (x-1) .... x-1 cannot equal zero, which means that x cannot equal 1. Ex. b (1/3)/(1/4) can be simplified into 4/3 which is a rational number.
How can algebraic expressions be simplified?
In many ways. It really depends on the algebraic expression. If several terms are added/subtracted, you can usually combine similar terms (terms that have the same combination of variables). If variables are multiplied, you can combine the same variable, adding the corresponding exponents. Sometimes expressions get simpler if you factor them; sometimes you have to multiply out (in other words, the opposite of factoring). Quite frequently, you have to use a combination of methods to simplify expressions. Take an algebra book, and look at some of the examples.
What are characteristics of common multiples?
Given a set of numbers, their common multiple is (usually) a positive integer which is evenly divisible by each of the set of numbers. Common multiples of variables or algebraic expressions are defined in a similar manner.
How is the process of adding and subtracting radicals similar to that of simplifying expressions with variables?
he process of adding and subtracting radicals is similar to that of simplifying expressions with variables because they both involve like terms. For example: if you have 2 square root of 2 + 2 square root of 4, you would first simplify the the square root of 4 to get 2. Next, you would add the numbers outside of the square roots to get 4. Finally, you combine the square roots, but leave the final square root to 2 to get the final answer of 4 square root of 2. An example for simplifying variables is: x^2 + x^8. For this, you would add 2 and 8 to get 10. Then, you would combine the two variables to get x. Finally, the final answer would be x10.
How are equations and expression similar?
Equations are made from expressions.
How is simplifying the ratio similar to division?
A series of worked examples showing the steps that can be followed to simplify ratios.
Why is it important to simplify radical expressions before subtracting or adding and how is adding a radical expression similar to adding a polynomial expression and provide an example?
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify..
