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Questo esame si sostiene in inglese: le lezioni e le domande sono in inglese. L'interfaccia resta in italiano.
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Real numbers R comprise natural numbers N = {0, 1, 2, ...}, integers Z, rational numbers Q (fractions p/q with non-zero q), and irrationals like √(2) and π. Every integer greater than 1 decomposes uniquely into a product of prime powers.
The greatest common divisor (GCD) takes the lowest power of common primes, whereas the least common multiple (LCM) takes the highest power of all primes across both factorisations.
N (Natural)
Counting numbers {0, 1, 2, ...}
Closed under addition and multiplication
Z (Integers)
Whole numbers {..., -2, -1, 0, 1, 2, ...}
Closed under subtraction
Q (Rationals)
Fractions p / q with integers p and q ≠ 0
Terminating or recurring decimals
GCD and LCM
GCD(a, b) × LCM(a, b) = a × b
Lowest vs highest prime powers
Esempio svolto
1.Every rational number can be expressed as a fraction of two integers where the denominator is non-zero.
2.The integer 1 is classified as a prime number in arithmetic.
3.The product of the GCD and LCM of two natural numbers equals the product of the two numbers.
Accesso a vita a tutte le 7 lezioni di Mathematics, mappe concettuali interattive, quesiti risolti passo per passo e simulazioni d'esame a tempo per CEnT-S.