a.
To find:
Natural numbers from the set
a.
Answer to Problem 1RE
Explanation of Solution
Given information:
Set of numbers is
Calculation:
Natural Numbers are the counting numbers that are used for counting and are greater than 0 i.e. 1,2,3,…
From the given set of numbers, it is seen that 4 is the only counting number.
Therefore natural numbers in the given set is
b.
To find:
Whole Numbers from the set
b.
Answer to Problem 1RE
Explanation of Solution
Given information:
Set of numbers is
Calculation:
Whole Numbers are natural numbers and 0 together i.e counting numbers that are used for counting and are greater than or equal to 0 i.e. 0,1,2,3,…
From the given set of numbers, it is seen that 0,4 are the counting numbers greater than or equal to 0.
Therefore whole numbers in the given set are
c.
To find:
Integers from the set
c.
Answer to Problem 1RE
Explanation of Solution
Given information:
Set of numbers is
Calculation:
Integers are those numbers that can be written without a fractional component. They include 0, all natural numbers and the negatives of the natural numbers i.e. …-3,-2,-1,0,1,2,3,…
From the given set of numbers, it is seen that -5,0,4 come under the category of integers.
Therefore integers in the given set is
d.
To find:
Rational Numbers from the set
d.
Answer to Problem 1RE
Explanation of Solution
Given information:
Set of numbers is
Calculation:
Rational Numbers are those numbers that can be written as a fraction
From the given set of numbers, it is seen that
Therefore rational numbers in the given set is
e.
To find:
Irrational Numbers from the set
e.
Answer to Problem 1RE
Explanation of Solution
Given information:
Set of numbers is
Calculation:
Irrational Numbers are those numbers that cannot be written as rational numbers. They include all the non-recurring decimal numbers i.e. the decimal part of the number does not occur again in the same pattern. For example
From the given set of numbers, it is seen that
Therefore irrational numbers in the given set is
f.
To find:
Real Numbers from the set
f.
Answer to Problem 1RE
Explanation of Solution
Given information:
Set of numbers is
Calculation:
Real numbers is the set of all rational and irrational numbers together. All numbers that are not complex come under real numbers.
Since there are no
Therefore real numbers in the given set is
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