false
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
If, by fraction, you mean a number which can be written in the form p/q where p and q are integers and q>0, then none of them are irrational.If you mean a number which can be written as x/q where x is real and q is a positive integer, then it is irrational whenever x is irrational.
In mathematics, the acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This order of operations should be used whenever you are solving an algebraic expression or equation to ensure that you arrive at the correct answer. By following the PEMDAS order, you can avoid errors and confusion in your calculations.
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
True
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
Yes, it is true.
A rational number is any number that can be expressed as a fraction. It becomes meaningless or undefined when the lower number, the denominator, its 0 (zero)
false
No. 0/3 is well defined.
Whenever we are dealing with rational fractions.
Whenever you solve a rational equation you must make sure the result obtained for an answer does not allow the denominator of one of the rational expressions to assume a value of ZERO, as division by zero is undefined and therefore prohibited. For example if we have 2x/(x-3) =(x2 -9x)/ x when we multiply out by x(x-3) we get 2x(x) = (x2 -9x)(x-3) so 2x2 = x(x-9)(x-3) 2x2 = x(x2 - 12x + 27) 2x2 = x3 - 12x2 + 27x so 0 = x3 - 14x2 + 27x 0 = x(x2 - 14x + 27) so solutions are 0 and 7 + √22 and 7 -√22 but 0 makes right hand side expression have zero in denominator so it is not a solution. We actually have to look at all obtained solutions to be sure they ae not extraneous. Suppose we had obtained a 3 for a solution. That would make the left side denominator equal zero and we would have to dismiss that, if 3 was obtained. The two irrational solutions we have obtained are genuine solutions as neither introduces a zero to a denominator
Yes it does: whenever you find an equivalent fraction.
cause whenever he sees little boys he makes that facial expression
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
Since any number divided by zero is undefined, a computer cannot base a calculation on this. Whenever a program attempts to divide by zero, this error is generated.