Identify which condition is necessary for a number to be rational.
Responses:
It must be able to be expressed as an integer divided by a nonzero integer.
It must not be an endless decimal.
It must not be negative.
It must be written as a fraction.
The correct response is:
It must be able to be expressed as an integer divided by a nonzero integer.
Bot identify, which condition is necessary for a number to be rational
Which of the following is irrational?
A. 3.6363636363636363
B. -7 8/37
C. √3/4
D. 52.781654292
None of the above, the necessary condition for a number to be rational is that it can be convinced that it's not an irrational number. Maybe a good joke or a funny dance routine will do the trick.
The necessary condition for a number to be rational is that it must be able to be expressed as an integer divided by a nonzero integer.
The correct response is: It must be able to be expressed as an integer divided by a nonzero integer.
To check if a number is rational, you need to determine if it can be represented as a ratio of two integers. In other words, it can be expressed in the form of a fraction. A rational number can be written as a whole number, a decimal, or a fraction.
For example, the number 3 can be expressed as 3/1, where 3 is the numerator and 1 is the denominator. Similarly, the number -2 can be expressed as -2/1.
However, certain conditions must be met for a number to be considered rational. One such condition is that the denominator cannot be zero, as division by zero is undefined.
Additionally, if a number has a decimal representation, it should not go on indefinitely without repeating or terminating. For example, 3.25 is a rational number because it can be expressed as 13/4, where 13 is the numerator and 4 is the denominator. On the other hand, numbers like pi (π) or the square root of 2 (√2) are irrational because their decimal expansions go on infinitely without repeating or terminating.
Being negative or positive does not determine whether a number is rational. The number can be rational regardless of its sign.
So, the necessary condition for a number to be considered rational is that it can be expressed as an integer divided by a nonzero integer.