There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
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."
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 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.
The difference is that all whole numbers are decimal numbers, but not all decimal numbers are whole numbers. For example a whole number such as 1 is a decimal number but a decimal number such as 1.5 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."
One example is 2 divided by 4 is not a whole number
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.
2 is a prime number.
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.
The number 2, which is a prime number. Any larger even number is a multiple of 2, and therefore not a prime number.
The difference is that all whole numbers are decimal numbers, but not all decimal numbers are whole numbers. For example a whole number such as 1 is a decimal number but a decimal number such as 1.5 is not a whole number.
No; here's a counterexample to show that the set of irrational numbers is NOT closed under subtraction: pi - pi = 0. pi is an irrational number. If you subtract it from itself, you get zero, which is a rational number. Closure would require that the difference(answer) be an irrational number as well, which it isn't. Therefore the set of irrational numbers is NOT closed under subtraction.
No. If the two numbers are integers, then on average, only about half the number of times.For example, the difference between 1 and 4 is 3.
You can give hundreds of examples, but a single counterexample shows that natural numbers are NOT closed under subtraction or division. For example, 1 - 2 is NOT a natural number, and 1 / 2 is NOT a natural number.
The Difference of math is when you subtract 2 numbers and get the number between it. Example: 30 -20 _____ 10 The difference there would be 10.