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What is an example of a counterexample for the difference of two whole numbers is a whole number?
Wiki User
∙ 10y ago
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
Wiki User
∙ 6y ago
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What is a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What number would be a counterexample to the following conjecture 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.
What is a counterexample in math?
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.
What are the difference between a decimal and a whole 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.
What is a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What is an example of a counterexample for the quotient of two whole numbers is a whole number?
One example is 2 divided by 4 is not a whole number
What number would be a counterexample to the following conjecture 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.
What is a counterexample to the statement all prime numbers are odd?
2 is a prime number.
What is a counterexample in math?
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.
What is a counterexample for the sentence All even numbers are composite numbers?
The number 2, which is a prime number. Any larger even number is a multiple of 2, and therefore not a prime number.
What are the difference between a decimal and a whole 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.
Is the set of irrational numbers closed under subtraction?
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.
Give ten examples of natural number are closed under subtraction and division?
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.
Is the difference between of two numbers is always an even number?
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.
Can you multiply two irrational numbers and get an irrational number?
Yes, but not always. An easy example is sqrt(2)*sqrt(3), which is sqrt(6) and irrational. An easy counterexample is simply sqrt(2) * sqrt(2), which is 2 and rational.
