Unformatted text preview: multiplication
Commutative law of addition: m + n = n + m. A sum isn’t changed at rearrangement of its addends. Commutative law of multiplication: m · n = n · m. A product isn’t changed at rearrangement of its factors. Associative law of addition: (m + n) + k = m + (n + k) = m + n + k. A sum doesn’t depend on grouping of its
Associative law of multiplication: (m · n) · k = m · (n · k) = m · n · k. A product doesn’t depend on grouping of
Distributive law of multiplication over addition: (m + n) · k = m · k + n · k. This law expands the rules of
operations with brackets (see the previous section). Prime and composite numbers
Numbers, which aren’t divisible by any numbers except 1 and itself, are called prime numbers. Numbers,
which have also other factors, are called composite numbers. There is an infinite set of prime numbers. The set
of them till 200 is:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,
47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,
103, 107, 109, 113, 127, 131, 137, 139, 149, 151,
157, 163, 167, 173, 179, 181, 191, 193, 197, 199.
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This note was uploaded on 07/21/2013 for the course UPCAT 2014 taught by Professor Otis during the Spring '13 term at University of the Philippines Diliman.
- Spring '13