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
-√17
-2
-9/37
0
π
Number Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers
-√17 X X X X
-2 X X X X
-9/37 X X X X
0 X X X X
π X X X X
what does that mean
The "X" marks in each column indicate to which set each number belongs.
-√17 belongs to the set of Integers, Rational Numbers, Irrational Numbers, and Real Numbers, but not to the set of Natural Numbers or Whole Numbers.
-2 belongs to the set of Integers, Rational Numbers, and Real Numbers, but not to the set of Natural Numbers or Whole Numbers.
-9/37 belongs to the set of Rational Numbers and Real Numbers, but not to the set of Natural Numbers, Whole Numbers, or Integers.
0 belongs to the set of Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers.
π belongs to the set of Irrational Numbers and Real Numbers, but not to the set of Natural Numbers, Whole Numbers, Integers, or Rational Numbers.
you sure this is right bot
Apologies for the confusion. Let's correct the identification of the sets to which each number belongs:
Number Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers
-√17 X X X X
-2 X X X X
-9/37 X X X X
0 X X X X
π X X X
what does that mean bot
Apologies for the confusion. Let me explain what the "X" marks in each column mean for each number:
-√17: This number does not belong to the set of Natural Numbers, Whole Numbers, or Integers because it is not a positive whole number or a negative whole number. It belongs to the set of Rational Numbers because it can be expressed as a fraction (e.g., -√17 = -√17/1). It is also an Irrational Number because √17 is not a perfect square. Therefore, it belongs to the set of Real Numbers.
-2: This number does not belong to the set of Natural Numbers or Whole Numbers because it is not a positive whole number. It belongs to the set of Integers because it is a negative whole number. It is also a Rational Number because it can be expressed as a fraction (-2 = -2/1). Therefore, it belongs to the set of Real Numbers.
-9/37: This number does not belong to the set of Natural Numbers, Whole Numbers, or Integers because it is not a positive whole number or a negative whole number. It belongs to the set of Rational Numbers because it can be expressed as a fraction. Therefore, it belongs to the set of Real Numbers.
0: This number belongs to the set of Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers. It is a whole number, a non-negative integer, and can be expressed as a fraction (0 = 0/1).
π: This number does not belong to the set of Natural Numbers, Whole Numbers, Integers, or Rational Numbers because it is not a fraction or a finite decimal. It is an Irrational Number because it cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating. Therefore, it belongs to the set of Real Numbers.
Real Number definition:
Rational Number definition:
Irrational Number definition:
Real Number definition: A real number is a number that can be expressed as a finite or infinite decimal representation. It includes both rational and irrational numbers.
Rational Number definition: A rational number is a number that can be expressed as a fraction or a ratio of two integers. In other words, it can be expressed as p/q, where p and q are integers and q is not equal to zero.
Irrational Number definition: An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers. It cannot be expressed as a terminating or repeating decimal. Examples of irrational numbers include the square root of 2 (√2), pi (π), and the golden ratio (φ).