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Which counterexample shows the conjecture is falseConjecture: The square of a rational number is greater than or equal to the number.?
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How do you write a conjecture about the sum of two fractions?
A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.
Counterexample of the product of two positive numbers is greater than the sum of two numbers?
1x1=1 1+1=2
What is an example of goldbach's conjecture?
20 (which is an even # greater then 2)=7+13 (which are both prime #s)
What is Goldbach's conjecture?
Goldbach's Conjecture is that every even number greater than two can be expressed as the sum of two prime numbers. For example, 4 = 2 + 2, 6 = 3 + 3, 8 = 5 + 3, 10 = 7 + 3, 12 = 7 + 5, etc. Although the conjecture has been checked up to very large values and many weaker results have been proved, the conjecture remains open. Because it is so well-known and easily understood, it is frequently the subject of mistaken "proofs" by amateur mathematicians.
Is the product of two positive numbers greater than either number?
A positive number is any number greater than zero. 1 is a positive number, so is 2, 2.5, 3.14159, 11, 11.25 etc 0.5 is a positive number. The product of two positive numbers is the result of multiplying them together. * 2 x 3 = 6 (the product). In this case the product is greater than either number. But... * 0.5 x 0.25 is 0.125. ~In this case the product is actually smaller than either of the two numbers! * Or 0.5 x 10 = 5 . Here the product is greater than 0.5 but smaller than 10. So the answer is ...sometimes!
What is a conjecture for multiplying two odd numbers?
One possible conjecture: The product is always an odd number. Another possible conjecture: The product is always greater than either of them. Another possible conjecture: Both odd numbers are always factors of the product. Another possible conjecture: The product is never a multiple of ' 2 '. Another possible conjecture: The product is always a real, rational number. Another possible conjecture: The product is always an integer.
How do you write a conjecture about the sum of two fractions?
A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.
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 greater a negative or positive rational number?
A positive rational number.
Counterexample of the product of two positive numbers is greater than the sum of two numbers?
1x1=1 1+1=2
What is the math conjectures?
There is not "the" conjecture: there are several. The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.
What is a example that shows a conjecture?
The Goldbach conjecture is probably one of the best known. The conjecture is that every even number greater than 2 can be expressed as a sum of two primes. T. Oliveira e Silva has confirmed the conjecture for number up to 4*10^18 but, despite many years of effort, the conjecture has not been proved.
Use the word conjecture in math sentence?
Goldbach's conjecture states that every even integer which is greater than 2 can be expressed as the sum of two prime numbers.
How does goldbachs conjecture work?
Goldbach's Conjecture suggests that every even integer greater than 2 is the sum of two prime numbers. It was stated in 1984 and proved in 1996 .
Which is greater zero or any positive rational number?
Any positive rational number.
What is an example of goldbach's conjecture?
20 (which is an even # greater then 2)=7+13 (which are both prime #s)
What proposes that every number greater than 2 is the sum of 2 primes?
That is known as the Goldbach conjecture.
