Proofs involving numbers (HSC SSCE Mathematics Extension 2): Flashcards
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Practise the cards
10 cards from this deck
What is an even number?
What is an even number?
An integer divisible by 2.
What is an odd number?
What is an odd number?
An integer not divisible by 2.
What does divisibility mean?
What does divisibility mean?
A number's ability to be divided without a remainder.
What is a direct proof?
What is a direct proof?
A straightforward logical method to verify truth.
What is proof by induction?
What is proof by induction?
A method involving base case and inductive step.
What is the base case in induction?
What is the base case in induction?
The initial step proving the statement for n=1.
What is the product of two odd numbers?
What is the product of two odd numbers?
The product is always an odd number.
What is a common proof technique?
What is a common proof technique?
Contradiction or contrapositive methods.
What is the Goldbach Conjecture?
What is the Goldbach Conjecture?
Every even integer > 2 is the sum of two primes.
Why are numerical proofs important?
Why are numerical proofs important?
They ensure reliability and validate mathematical claims.