There are various types of numbers including the following t

There are various types of numbers, including the following types: Odd Even Whole Natural Integer Rational Irrational Real a) Order these types in terms of how one type can be included in another. You may draw a diagram, graph or table to explain the relationships. b) Give at least one example of each type of number. The example should be specific. Choose an example that, ideally, could not be assigned to any more limited or restricted type. c) Give at least two examples of how operations (such as addition) on numbers belonging to one type can produce a result that belongs to another type.

Solution

a,b) Odd no : 1, 3, 5, 7, 9, 11, , , , , , , ,

Even no : 0, 2, 4, 6, 8, 10, , , , , , ,

Natural no : 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, , , , , ,

Whole no: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, , , , , ,

So, whole no consist of all natural no, odd no, even no.

Natural no consist of all of odd numbers and all even numbers except zero.

c) odd no + odd no = even no (1+3 = 4) (5+3 = 8)

odd no - odd no = even no (3-1 = 2) (7-5 = 2)

even no + even no = even no (4+2 =6)

even no - even no = even no (6 - 4 =2)

even no + odd no = odd no (6+5 =11)

even no - odd no = odd no (8-5 =3)