Number Representation
... • Our number system represents numbers in base 10 (also called decimal notation) – Each place represents a power of 10: ...
... • Our number system represents numbers in base 10 (also called decimal notation) – Each place represents a power of 10: ...
1 Natural numbers and integers
... 1.5.3 Show also that 2n − 1 is never a prime when n is not prime. (Hint: suppose that n = pq, let x = 2 p , and show that x − 1 divides xq − 1.) Mersenne primes are named after Marin Mersenne (1588–1648) who first drew attention to the problem of finding them. They occur (though not under that name) ...
... 1.5.3 Show also that 2n − 1 is never a prime when n is not prime. (Hint: suppose that n = pq, let x = 2 p , and show that x − 1 divides xq − 1.) Mersenne primes are named after Marin Mersenne (1588–1648) who first drew attention to the problem of finding them. They occur (though not under that name) ...
i+1
... Uniform distribution: freq. of occurrence of each number should be approximately the same Independence: no one value in the seq. can be inferred from the others ...
... Uniform distribution: freq. of occurrence of each number should be approximately the same Independence: no one value in the seq. can be inferred from the others ...
CMP3_G6_PT_AAG_3-2
... factors for any number. For example, the prime factors of 330 are 2, 3, 5 and 11, and the prime factorization of 330 is 2 × 3 × 5 × 11. There is no other possible set of prime numbers that can be multiplied to make 330. The prime numbers cannot be broken down further into a product of primes. 3 can ...
... factors for any number. For example, the prime factors of 330 are 2, 3, 5 and 11, and the prime factorization of 330 is 2 × 3 × 5 × 11. There is no other possible set of prime numbers that can be multiplied to make 330. The prime numbers cannot be broken down further into a product of primes. 3 can ...
Solutions
... mention of 18 consecutive numbers gives a bit of a clue that we are on the right track. Divisibility by 9 gives more of a chance that the sum will be a factor of the number, so let’s try that. Now in fact, if you have a 3-digit number divisible by 9, the only three possibilities for the sum of the d ...
... mention of 18 consecutive numbers gives a bit of a clue that we are on the right track. Divisibility by 9 gives more of a chance that the sum will be a factor of the number, so let’s try that. Now in fact, if you have a 3-digit number divisible by 9, the only three possibilities for the sum of the d ...
UProperty 1
... Let S x x 2 2 . What is its LUB? LUB may not exist. For instance, in the example above, the LUB is 2 , which is the root to the algebraic equation x 2 2 0 . But 2 is not rational and hence does not exist if we are only working in the field of rational numbers ! ...
... Let S x x 2 2 . What is its LUB? LUB may not exist. For instance, in the example above, the LUB is 2 , which is the root to the algebraic equation x 2 2 0 . But 2 is not rational and hence does not exist if we are only working in the field of rational numbers ! ...
