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How would you differentiate rational algebraic expressions from those which are not?
Wiki User
∙ 12y ago
The coefficients in a rational expression would be rational numbers.
Wiki User
∙ 12y ago
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Is -67 a irrational number?
No. -67 is a rational number Any number that can be represented as a ratio of two integers is rational. Those that cannot are irrational. Since -67 can be represented as the ratio -67/1 (both -67 and 1 are integers) it is rational.
Is the number 6 rational or irrational?
'6' is RATIONAL. Casually IRRATIONAL numbers are those that have decimals going to infinity AND the decimal digits are NOT in any regular order. 'pi' = 3.141592.... is the most well known irrational number. However, 3.3333... is RATIONAL becaause the decimal digits are in a regular order of '3'.
What is a rational algebraic expression?
A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.Some examples of rational expressions:-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.Examples:1) x/2Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.2) 2/xSince the denominator x is a variable, the expression is undefined when x = 03) 2/(x - 1)x - 1 ≠0x ≠1The domain is {x| x ≠1}. Or you can say:The expression is undefined when x = 1.4) 2/(x^2 + 1)Since the denominator never will equal to 0, the domain is all real number values of x.
Definition of rational algebraic expression?
A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠ 0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.Some examples of rational expressions:-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.Examples:1) x/2Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.2) 2/xSince the denominator x is a variable, the expression is undefined when x = 03) 2/(x - 1)x - 1 ≠ 0x ≠ 1The domain is {x| x ≠ 1}. Or you can say:The expression is undefined when x = 1.4) 2/(x^2 + 1)Since the denominator never will equal to 0, the domain is all real number values of x.
Can a fraction be rational?
Yes it can. In fact, all real fractions are rational. Numbers are said to be rational that are ratios of the whole numbers. For example: 3/3 = 1 , therefore 1 is rational (and all other whole numbers) 2/3 = .666... , therefore .666... is rational because it is a ratio of 2 to 3. 123512/321235 also rational. There are some types of numbers, trancendental numbers, for example, for which no ratio exists. We call those numbers irrational. Famously, the number pi is the ratio between the diameter and circumfrence of a circle. There is no whole number ratio that can represent this relationship. Pi is both transendental and irrational.
Why can't the denominators of rational expressions be zero How can we find the domain of a rational function?
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.
What is simplifying the expression?
Algebraic expressions contain alphabetic symbols as well as numbers. When an algebraic expression is simplified, an equivalent expression is found that is simpler than the original. This usually means that the simplified expression is smaller than the original. There is no standard procedure for simplifying all algebraic expressions because there are so many different kinds of expressions, but they can be grouped into three types: (a) those that can be simplified immediately without any preparation. (b) those that require preparation before being simplified. (c) those that cannot be simplified at all. <3 Tiffany ur welcome
What is the GCF of 3x squared plus 2x - 5?
3x2 has x, x2 , and 3 as factors. 2x-5 does not have any of those as factors. So the greatest common factor is 1. If you were adding rational expressions with those two expressions in the denominator, you would need to multiply them together to find the least common denominator.
Which is a real number that is not a rational number?
Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.
What are the parts of irrational system?
Irrational numbers can be divided into algebraic numbers and transcendental numbers. Algebraic numbers are those which are the solutions to algebraic equations with integer coefficients: for example, x^2 = 2. Transcendental numbers are those for which there are no corresponding algebraic equations. pi, e are two examples.
What is rational values?
Rational values- those are necessary to the functions and fulfillment of intellect and will.
Which of these numbers is rational 59 13 and 0.49?
All of those three numbers are rational.
Is odd or even numbers rational numbers?
Every odd or even number is a rational number, and there are a lot more rational numbers besides those.
How do you know that the sum of (-2 34) and 59 rational?
Because both of those numbers are rational. The sum of any two rational numbers is rational.
Is 0.044454647 irrational?
If those are all the digits, then it is rational.
What is the lengths of a rectangular prism with a volume of 840cm?
There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities. There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities. There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities. There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities.
Some rational numbers can be irrational numbers?
No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.
