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What is a counterexample for the statement division of a whole number is commutative?
Wiki User
∙ 10y ago
1/2 = 0.52/1 = 2
0.5 is not equal to 2.
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."
Are rational number commutative under subtraction and division?
No.
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.
Prove and disprove the statement that every prime number is an even number?
To disprove this all you need to do if find one example of a prime that is not even. Such an example is called a counterexample. If a statement that all such and such or every such and such has a certain property, all you have to do to disprove it it to demonstrate the existence of on such and such that lacks the property .
What is a counterexample for the statement division of a whole number is associative?
(8/4)/2=1 8/(4/2)=4
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."
Are rational number commutative under subtraction and division?
No.
What is a counterexample to the statement all prime numbers are odd?
2 is a prime number.
What number is the counterexample for the statement if x is a multiple of 2 then x is divisible by 4?
the number eight
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.
Find a counterexample to the statement The sum of two squares is an even number?
102 + 32 = 100 + 9 =109 (not an even number)
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.
Prove and disprove the statement that every prime number is an even number?
To disprove this all you need to do if find one example of a prime that is not even. Such an example is called a counterexample. If a statement that all such and such or every such and such has a certain property, all you have to do to disprove it it to demonstrate the existence of on such and such that lacks the property .
Explain when an binary operation is commutative?
when we add and substract any number * * * * * "substract" is not a word, and in any case, subtraction is not commutative. A binary operation ~, acting on a set, S, is commutative if for any two elements x, and y belonging to S, x ~ y = y ~ x Common binary commutative operations are addition and multiplication (of numbers) but not subtraction nor division.
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.
