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## What do you mean by conjecture how we make conjecture in mathematics explain?

A conjecture is **a mathematical statement that has not yet been rigorously proved**. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.

## How do you prove a mathematical conjecture?

*And any time you can prove someone wrong with a specific example. That's called a counter example. So the counter example to my exam conjecture. There would be the number two because the number two is*

## Is the abc conjecture proven?

Various attempts to prove the abc conjecture have been made, but none are currently accepted by the mainstream mathematical community and **as of 2020, the conjecture is still regarded as unproven**.

## What is a conjecture in geometry example?

A conjecture is **an “educated guess” that is based on examples in a pattern**. A counterexample is an example that disproves a conjecture. Suppose you were given a mathematical pattern like h = − 16 / t 2 . What if you wanted to make an educated guess, or conjecture, about h?

## What is a conjecture in math 9th class?

Class 9thAP- Mathematics3. The Elements of Geometry. Answer : Sometimes a certain statement that we think is to be true but that is an educated guess based on observations. **Such statements which are neither proved nor disproved** are called conjectures (hypothesis).

## How do you answer a conjecture?

Disproving a conjecture may be simpler than actually proving it to be true. All you need to **disprove a conjecture is one example**. That example is called a counterexample. Remember that ‘counter’ means to go against, so a counterexample is a statement used to disprove a conjecture.

## Who Solved the ABC conjecture?

mathematician Shinichi Mochizuki

After an eight-year struggle, embattled Japanese mathematician **Shinichi Mochizuki** has finally received some validation. His 600-page proof of the abc conjecture, one of the biggest open problems in number theory, has been accepted for publication.

## Who came up with the ABC conjecture?

Shinichi Mochizuki

In 2012, **Shinichi Mochizuki** at Kyoto University in Japan produced a massive proof claiming to have solved a long-standing problem called the ABC conjecture. Spanning 500 pages across four papers, Mochizuki’s proof was written in an impenetrable style, and number theorists struggled to understand its underlying ideas.

## What is a conjecture that is proven?

Any conjecture that is proven to be true is called **a theorem**.

## What is a mathematical conjecture?

In mathematics, a conjecture is **a conclusion or a proposition that is proffered on a tentative basis without proof**.

## What is conjecture give some examples?

**A statement that might be true (based on some research or reasoning), but is not proven**. Like a hypothesis, but not stated in as formal, or testable, way. So a conjecture is like an educated guess. Example: I heard the sound of a plastic bag, so I conjecture there might be some food!

## How can you prove a conjecture is false?

*So your second example is true. But when you take 1 & 3 so use one squared plus 3 squared you get 1 plus 9 which is equal to 10 this is false.*

## What is an example that shows a conjecture is false?

**A counterexample** is an example that shows a conjecture is false.

## What is a false conjecture?

A conjecture is an “educated guess” that is based on examples in a pattern. Numerous examples may make you believe a conjecture. However, **no number of examples can actually prove a conjecture**. It is always possible that the next example would show that the conjecture is false.

## When a conjecture is false called?

**A counterexample** is a specific case for which the conjecture is false. A student makes the following conjecture about absolute values. Find a counterexample to disprove the student’s conjecture. Conjecture The absolute value of the sum of two numbers is equal to the sum of the two numbers.

## What do you call the reasoning used to determine whether a conjecture is always true?

It is called **deductive reasoning**.

## Which reasoning is used to prove a conjecture?

Inductive Reasoning is a reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use inductive reasoning to decide the next successive terms of the sequence. A conclusion you reach using inductive reasoning is called a conjecture .