How can you describe a rational number as a quotient when the divisor is not zero?
A rational number can be described as a quotient when the divisor is not zero because it can be represented as the ratio of two integers. The numerator represents the part of the whole or the quantity being considered, while the denominator represents the total number of equal parts into which the whole is divided. Since the divisor is not zero, the rational number can be expressed as the quotient or division of two integers.
A rational number can be described as a quotient when the divisor is not zero. To understand this, we need to recall that a rational number is any number that can be expressed as the quotient or fraction of two integers. Let's denote the numerator as "a" and the denominator as "b".
When the divisor (denominator), which is "b", is not equal to zero, we can say that a rational number can be written as the quotient "a/b". This means that "a" is divided by "b", where "a" and "b" are integers and "b" is not zero. The result of this division gives us a rational number.
For example, if we have the numerator "5" and the denominator "2", we can express it as the quotient 5/2. This means that 5 is divided by 2, resulting in a rational number equal to 2.5.
In summary, a rational number is described as a quotient when the divisor (denominator) is not zero. This means that we divide the numerator by the denominator, resulting in a rational number.
A rational number can be described as a quotient when the divisor is not zero by dividing the numerator by the nonzero divisor. Let's break it down step by step:
1. Understand what a rational number is: A rational number is any number that can be expressed as the ratio (or quotient) of two integers. It can be written in the form p/q, where p and q are integers and q is not equal to zero.
2. Determine the numerator and the divisor: Take any rational number, say 3/4. In this case, 3 is the numerator and 4 is the divisor.
3. Divide the numerator by the divisor: Divide the numerator by the divisor to obtain the quotient. In our example, 3 divided by 4 is 0.75.
4. Express the rational number as a quotient: Now, we can express the rational number 3/4 as a quotient by writing 3 รท 4 = 0.75. This shows that 3/4 can be represented as a division problem where the numerator is divided by the nonzero divisor.
Remember, it is crucial to ensure that the divisor is not zero because division by zero is undefined in mathematics.