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Do conversion factors always sometimes or never have a numerator and denominator?
They always have a numerator but, if they are integers, the may not have a denominator.
What is a quotient of two integers where the divisor is never zero?
It is a rational number.
What is a rule for how to find a ratio with a denominator f 1 without using a diagram?
Divide the numerator of the ratio by the denominator. The answer, with a denominator is the required unit fraction. And I have never ever used a diagram - I have no clue what it is or how to use it!
What is an irrational number that is also rational?
Numbers are either irrational (like the square root of 2 or pi) or rational (can be stated as a fraction using whole numbers). Irrational numbers are never rational.
Is a number either rational or irrational but not both?
Yes. A number can be either rational or irrational, but never both; otherwise there would be an inherent contradiction.
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.
What is a rational 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 rational number plus an irrational number equal a rational number?
No, never.
Which statement is true Converting an integer to a fraction shows whether it is rational A negative fraction is never rational An integer numerator over a zero denominator is never rational?
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
Is the product of two rational numbers never equal to 1?
False.
Is the product of two rational numbers is never equal to 1?
yes
The sum of two rational numbers is a rational number?
Always true. (Never forget that whole numbers are rational numbers too - use a denominator of 1 yielding an improper fraction of the form of all rational numbers namely a/b.)
Are integers always sometimes or never rational numbers?
All integers are rational numbers, but not all rational numbers are integers.2/1 = 2 is an integer1/2 is not an integerRational numbers are sometimesintegers.
In the Quotient rule why can the denominator never equal 0?
Division by zero is specifically forbidden in mathematics.
Is 3.6666 a rational?
3.6666 is the ratio of 36,666 to 10,000 . It's perfectly rational. If you said that the sixes go on forever and never end, then your number would be equal to 11/3 which is also perfectly rational.
What are algebraic fractions?
Algebra is the study of unknown factors (known as variables). Algebraic fractions are fractions with variables in the numerator or denominator, such as 36/x. Others include x2/y or 5x/y3. Since division by 0 is impossible, variables in the denominator have certain restrictions. The denominator can never equal 0. Therefore, in the fractions 36/x . . . x cannot equal 0 x2/y . . . .y cannot equal 0 5x/y3 . . .y cannot equal 0 ---- [Edit] Yes. Also called rational expressions. An example: m + 7 ---------------------- (m - 6) (m + 2) so, m-6 cannot equal 0, this means that m cannot equal 6, and m + 2 cannot equal 0 also, this means that m cannot equal -2
