More answers

A counterexample for the statement that division of a whole number is associative would be as follows: Let's consider the numbers 10, 5, and 2. While division is associative for multiplication, it is not associative for division. For example, (10 ÷ 5) ÷ 2 = 2 ÷ 2 = 1, but 10 ÷ (5 ÷ 2) = 10 ÷ 2.5 = 4. Thus, the division of whole numbers is not associative.

Well, let's think about this in a calm and happy way. To find a counterexample for the statement that division of whole numbers is associative, we just need to show one case where it doesn't hold true. For example, let's consider the numbers 10, 5, and 2. If we first divide 10 by 5 and then divide the result by 2, we get 1. But if we directly divide 10 by 2, we get 5. So, this shows that division of whole numbers is not always associative.

Q: What is a counterexample for the statement division of a whole number is associative?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

102 + 32 = 100 + 9 =109 (not an even number)

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.

A+

5, 7, a bunch of numbers that are odd are not divisible by 3. numbers that are divisible by three can have all their numbers added together and come out with a number that is divisible by 3.

An associative array is one of a number of array-like data structures where the indices are not limited to integers.

Related questions

1/2 = 0.52/1 = 2 0.5 is not equal to 2.

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 is a prime number.

the number eight

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.

102 + 32 = 100 + 9 =109 (not an even number)

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.

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 .

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.

There is no counterexample because the set of whole numbers is closed under addition (and subtraction).

A+