In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.
2, 99
Expert Solution
To determine
(a)
The counting numbers in the given set.
Answer to Problem 453RE
2 and 99
Explanation of Solution
Given information:
The set of numbers is 0,2,99 .
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 1,2,3,4,5... and so on.
All these numbers are known as counting numbers. Here, " ..... " this notation is ellipsis which is a way to show "and so on" which means the same pattern continues endlessly. All the counting numbers are natural numbers.
Thus, counting numbers starts from 1 and continues endlessly following the same pattern as shown below:
1,2,3,4,5... and so on.
Calculation:
The given numbers are 0,2 and 99 .
The counting numbers starts from 1 and continues endlessly following the same pattern. For example, 1,2,3,4,5,….. and so on.
In counting numbers, zero is not included therefore, 2 and 99 are counting numbers.
(b)
Expert Solution
To determine
The whole numbers in the given set.
Answer to Problem 453RE
0,2 and 99
Explanation of Solution
Given information:
The set of numbers is 0,2,99 .
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:
0,1,2,3,4,5,....... and so on.
Calculation:
The given numbers are 0,2 and 99 .
The whole numbers are counting numbers and zero. The pattern is as follows:
0,1,2,3,4,5,....... and so on.
Since, whole numbers includes 0 in the counting numbers therefore, 0,2 and 99 are whole numbers.
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For each graph below, state whether it represents a function.
Graph 1
24y
Graph 2
Graph 3
4
2
-8
-6 -4
-2
-2
2 4 6
Function?
○ Yes
○ No
○ Yes
○ No
Graph 4
Graph 5
8
Function?
Yes
No
Yes
No
-2.
○ Yes
○ No
Graph 6
4
+
2
4
-8 -6 -4 -2
2 4 6
8
Yes
-4++
No
Practice
k Help
ises
A
96
Anewer The probability that you get a sum of at least 10 is
Determine the number of ways that the specified event can occur when
two number cubes are rolled.
1. Getting a sum of 9 or 10
3. Getting a sum less than 5
2. Getting a sum of 6 or 7
4. Getting a sum that is odd
Tell whether you would use the addition principle or the multiplication
principle to determine the total number of possible outcomes for the
situation described.
5. Rolling three number cubes
6. Getting a sum of 10 or 12 after rolling three number cubes
A set of playing cards contains four groups of cards designated by color
(black, red, yellow, and green) with cards numbered from 1 to 14 in each
group. Determine the number of ways that the specified event can occur
when a card is drawn from the set.
7. Drawing a 13 or 14
9. Drawing a number less than 4
8. Drawing a yellow or green card
10. Drawing a black, red, or green car
The spinner is divided into equal parts.
Find the specified…
College Algebra with Modeling & Visualization (5th Edition)
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