n the same way that a team roster lists all of the players on a team, roster form in mathematics is a set written as a list of all of its elements. We represent a set using roster form by listing the elements in the set separated by commas, and then we enclose the list with curly brackets.
For example, suppose we want to write the set of odd integers between 2 and 10 in roster form. To do this, we would simply list the odd integers between 2 and 10 separated by commas, then enclose the list in curly brackets. This gives the following:
Set of odd integers between 2 and 10 = {3, 5, 7, 9}
Sometimes, a set has infinitely many elements. when this is the case, roster form is usually not the desired form used to represent the set. However, we can still use roster form by making use of three periods at the beginning or end of the list. These three periods illustrate that the list continues on in that direction forever. For example, if we wanted to represent the set of natural numbers, or the counting numbers, using roster form, we wouldn't be able to list all of the numbers, because they start at 1 and go on forever to infinity. Therefore, we would list the first several numbers of the set, then use our periods to get the following:
Set of Natural Numbers = {1, 2, 3, 4, 5, . . .}
The periods indicate that the natural numbers go on forever to positive infinity. These are just two examples of roster form in mathematics, but there are many more, so it is great to be familiar with how to write sets in this form.
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n the same way that a team roster lists all of the players on a team, roster form in mathematics is a set written as a list of all of its elements. We represent a set using roster form by listing the elements in the set separated by commas, and then we enclose the list with curly brackets.
For example, suppose we want to write the set of odd integers between 2 and 10 in roster form. To do this, we would simply list the odd integers between 2 and 10 separated by commas, then enclose the list in curly brackets. This gives the following:
Set of odd integers between 2 and 10 = {3, 5, 7, 9}
Sometimes, a set has infinitely many elements. when this is the case, roster form is usually not the desired form used to represent the set. However, we can still use roster form by making use of three periods at the beginning or end of the list. These three periods illustrate that the list continues on in that direction forever. For example, if we wanted to represent the set of natural numbers, or the counting numbers, using roster form, we wouldn't be able to list all of the numbers, because they start at 1 and go on forever to infinity. Therefore, we would list the first several numbers of the set, then use our periods to get the following:
Set of Natural Numbers = {1, 2, 3, 4, 5, . . .}
The periods indicate that the natural numbers go on forever to positive infinity. These are just two examples of roster form in mathematics, but there are many more, so it is great to be familiar with how to write sets in this form.
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