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What is a counterexample for the statement division of a whole number is commutative?
1/2 = 0.52/1 = 2 0.5 is not equal to 2.
What is an example of a counterexample for the difference of two whole numbers is a whole number?
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
Can a theorem have a counterexample?
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
What is an example for which a conjecture is incorrect?
A counterexample.
What is a case in which a conjecture is not true?
Counterexample
What is a counterexample for the statement division of a whole number is commutative?
1/2 = 0.52/1 = 2 0.5 is not equal to 2.
What is an example of a counterexample for the difference of two whole numbers is a whole number?
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
What is a counterexample for the statement division of a whole number is associative?
Well, honey, the statement that division of a whole number is associative is as false as claiming you can wear a swimsuit in a blizzard. Just take the numbers 10, 5, and 2 for example. (10 ÷ 5) ÷ 2 is not the same as 10 ÷ (5 ÷ 2). So, there you have it - a sassy counterexample for you!
What is the counterexample for the repeating decimals are closed under division?
Division by 0, which can also be written as 0.000... (repeating) is not defined.
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
Does every statement have a counterexample?
No. Not if it is a true statement. Identities and tautologies cannot have a counterexample.
Can a theorem have a counterexample?
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
What is the counterexample for 16?
-16
Can you find a counterexample to disprove the statement the commutative property is true for division?
8 divided by 2 does not equal 2 divided by 8. 8/2=4...2/8=0.25
What is an example for which a conjecture is incorrect?
A counterexample.
What is a case in which a conjecture is not true?
Counterexample
Is the set of whole numbers closed for division?
No, the result of a division of one whole number into another might be a whole number, but could also be a fraction.
