Identify the set to which each of the following numbers belongs by marking an “X” in the appropriate boxes.
Number
Natural Numbers
Whole Numbers
Integers
Rational Numbers
Irrational Numbers
Real Numbers
1 -\sqrt{17}
2
-2
3 - 9/37
4
0
5 pie
Number Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers
1 X X X
2 X X X
3 X X
4 X X X
5 X
-\sqrt{17} X X
-2 X X X
- 9/37 X X
0 X X X
Pie X X
what are the numbers
The numbers given are:
1) 1
2) -sqrt(17)
3) 2
4) -2
5) 3 - 9/37
6) 4
7) 0
8) 5 pi
how do i know where the x's go
To determine where the "x's" go, you need to identify which sets each number belongs to. Here is a breakdown of how you can determine the sets for each number:
1) Natural Numbers: These are positive whole numbers (1, 2, 3, ...) - The number 1 is a natural number, so you put an "x" in the corresponding box.
2) Whole Numbers: These are non-negative numbers, including zero (0, 1, 2, ...) - The number 1 is a whole number, so you put an "x" in the corresponding box.
3) Integers: These include all natural numbers, their negatives, and zero (..., -2, -1, 0, 1, 2, ...) - The number 1 is an integer, so you put an "x" in the corresponding box.
4) Rational Numbers: These are numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero - The number 1 can be expressed as 1/1, which is a fraction, so you put an "x" in the corresponding box.
5) Irrational Numbers: These are numbers that cannot be expressed as a fraction and have a non-terminating or non-repeating decimal expansion - The number -sqrt(17) is an irrational number, so you put an "x" in the corresponding box.
6) Real Numbers: These include both rational and irrational numbers - Both number 1 and -sqrt(17) are real numbers, so you put an "x" in the corresponding box.
Follow this process for each of the given numbers to determine which sets they belong to and put an "x" in the appropriate boxes accordingly.