1.
Seventeen Seventy, Queensland
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Originally known as Round Hill – after the creek it sits on – the name was changed in 1970 to commemorate the bicentenary of Cooks visit. The community of Seventeen Seventy hold the re-enactment of this historic landing each year as part of the 1770 Festival held in May. Although the town is referred to locally as 1770, the name of the town is Seventeen Seventy. The village is a tourist destination on Queenslands Discovery Coast and it is situated on a peninsula, with the Coral Sea and Bustard Bay on three sides. Agnes Water is eight kilometres to the south, Seventeen Seventy can be reached by a sealed road from Bundaberg,120 kilometres to the south, going through Agnes Water. The town sustains a small permanent population, a significant holiday population makes it to the area to take advantage of fishing, Great Barrier Reef trips, the area also has four national parks. These are Deepwater, Eurimbula, Mount Colosseum, and Round Hill and these all offer wilderness camping and hiking. It also offers day cruises and flights to the outer Great Barrier Reef, to nearby Lady Musgrave Island and Pancake Creek, and the historic Bustard Head lighthouse

2.
Integer
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An integer is a number that can be written without a fractional component. For example,21,4,0, and −2048 are integers, while 9.75, 5 1⁄2, the set of integers consists of zero, the positive natural numbers, also called whole numbers or counting numbers, and their additive inverses. This is often denoted by a boldface Z or blackboard bold Z standing for the German word Zahlen, ℤ is a subset of the sets of rational and real numbers and, like the natural numbers, is countably infinite. The integers form the smallest group and the smallest ring containing the natural numbers, in algebraic number theory, the integers are sometimes called rational integers to distinguish them from the more general algebraic integers. In fact, the integers are the integers that are also rational numbers. Like the natural numbers, Z is closed under the operations of addition and multiplication, that is, however, with the inclusion of the negative natural numbers, and, importantly,0, Z is also closed under subtraction. The integers form a ring which is the most basic one, in the following sense, for any unital ring. This universal property, namely to be an object in the category of rings. Z is not closed under division, since the quotient of two integers, need not be an integer, although the natural numbers are closed under exponentiation, the integers are not. The following lists some of the properties of addition and multiplication for any integers a, b and c. In the language of algebra, the first five properties listed above for addition say that Z under addition is an abelian group. As a group under addition, Z is a cyclic group, in fact, Z under addition is the only infinite cyclic group, in the sense that any infinite cyclic group is isomorphic to Z. The first four properties listed above for multiplication say that Z under multiplication is a commutative monoid. However, not every integer has an inverse, e. g. there is no integer x such that 2x =1, because the left hand side is even. This means that Z under multiplication is not a group, all the rules from the above property table, except for the last, taken together say that Z together with addition and multiplication is a commutative ring with unity. It is the prototype of all objects of algebraic structure. Only those equalities of expressions are true in Z for all values of variables, note that certain non-zero integers map to zero in certain rings. The lack of zero-divisors in the means that the commutative ring Z is an integral domain