One example is 2 divided by 4 is not a whole number
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
A quotient is the answer when you divide 2 numbers. For example if you divide 72 by 3, you get 24 as a quotient.
There are no such numbers since any number can be written as a quotient of itself and 1. For example, pi = pi/1
2 would be a counterexample to the conjecture that prime numbers are odd. 2 is a prime number but it is the only even prime number.
A quotient is the result of dividing two numbers. If we divide one number into another number, the result is the quotient. It might be argued that the quotient is the ratio of two numbers, but what has been stated applies.
The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.
2 is a prime number.
The quotient of a number and 21 is the result obtained when you divide the number by 21. For example, if you divide 42 by 21, you get a quotient of 2. If you divide 63 by 21, you get a quotient of 3. And so on. The quotient can be an integer or a decimal number, depending on the numbers youβre dividing.
A counterexample is an example (usually of a number) that disproves a statement. When seeking to prove or disprove something, if a counter example is found then the statement is not true over all cases. Here's a basic and rather trivial example. I could say "There is no number greater than one million". Then you could say, "No! Take 1000001 for example". Because that one number is greater than one million my statement is false, and in that case 1000001 serves as a counterexample. In any situation, an example of why something fails is called a counterexample.