In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.
2, 99
(a)
The counting numbers in the given set.
Answer to Problem 453RE
Explanation of Solution
Given information:
The set of numbers is
Algebra represents word and idea with the help of symbols and numbers. In algebra, the numbers used to count the objects are the most basic numbers; they are
All these numbers are known as counting numbers. Here, "
Thus, counting numbers starts from 1 and continues endlessly following the same pattern as shown below:
Calculation:
The given numbers are
The counting numbers starts from
In counting numbers, zero is not included therefore,
(b)
The whole numbers in the given set.
Answer to Problem 453RE
Explanation of Solution
Given information:
The set of numbers is
In the history of mathematics, the discovery of number zero is a biggest achievement.
A new set of numbers is form if zero is included in the set of counting numbers. This new set of numbers is known as whole numbers.
Counting numbers and whole numbers can be seen on a number line as shown below:
In the above number line, the point at number zero is known as origin. There are equally spaced points on the right of the origin labelled with the counting numbers. When pairing of a point and number takes place, the number is called the coordinate of the point.
Therefore, whole numbers are counting numbers and zero. The pattern is as follows:
Calculation:
The given numbers are
The whole numbers are counting numbers and zero. The pattern is as follows:
Since, whole numbers includes
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