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What is the denominator of the rational number 0 is?
The denominator of 0 is any number except 0. For example, 0/1=0, 0/2=0, 0/√2=0, 0/5^2=0, and so forth.
What makes a rational expression equal to zero?
A rational expression is zero when the numerator is zero. To find the values that make a rational expression zero, we set the numerator equal to zero and solve the resulting equation.
What number Cannot be the denominator of a rational number?
zero
A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero.
When can you cancel numerator and denominator?
The only time you can’t cancel terms in the numerator and denominator is when they are both NOT factors..
Can denominator be negative in rational numbers?
Calculating Rational Numbers The numerator or the denominator can be positive or negative, as long as the denominator is not zero. It shows the relationship between the numerator (p) and denominator (q), the fraction (p/q), and the rational number.
Why can zero not be in the denominator?
If the denominator of a fraction is zero, the expression is not a legal fraction because it’s overall value is undefined. are not legal fractions. Their values are all undefined, and hence they have no meaning.
Can fractions have 0 as a denominator?
Because we can’t have 0 in the denominator of a fraction, all we can say is that this fraction is “undefined.” The value isn’t 0, it isn’t 3, it’s just undefined.
What is the denominator in a rational number that cannot be zero?
The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number a/b, b≠0 where a and b are both integers.
How do you prove that 0 is a rational number?
The number doing the dividing, however, can be zero. See the below fraction p/q: This rational expression proves that 0 is a rational number because any number can be divided by 0 and equal 0. Fraction r/s shows that when 0 is divided by a whole number, it results in infinity.
How do you divide by zero in a rational expression?
In a rational expression, you can’t divide by zero. The denominator must be a non-zero integer. This is because any quotient divided by 0 results in a non-integer. The number doing the dividing, however, can be zero. See the below fraction p/q:
Why is 0 an irrational number?
Since 0 is not positive, anything with 0 as a denominator is irrational. 0 0 = x is the same as 0 = 0 x, which has infinitely many solutions. The existence of a rational number that is equal to any other rational number would break the unique identity of rational numbers, and as a result, most of mathematics.