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A counterexample for the division of whole numbers is if we have 6 apples and we try to divide them equally among 4 people. Each person would get 1 apple and there would be 2 apples remaining. In this case, it is not possible to divide the apples equally among 4 people without leaving any remainder.
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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).
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.
What is a case in which a conjecture is not true?
Counterexample
What is an example for which a conjecture is incorrect?
A 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.
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
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.
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.
What is a case in which a conjecture is not true?
Counterexample
What is an example for which a conjecture is incorrect?
A counterexample.
