Concept explainers
The set to which the given numbers belong and complete the table.
Answer to Problem 1CRE
Solution:
The table can be completed as shown below.
Given:
The given table is shown below.
Concept used:
A value that represents a quantity along a line called a real number. Real numbers include all the rational numbers and irrational numbers.
A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
A number that cannot be expressed as a fraction for any integers and have decimal expansions that neither terminate nor become periodic called irrational number.
A number that can be written without a fractional component is called integer number.
Whole numbers are positive numbers including zero, without any decimal or fractional parts.
A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number.
Explanation of Solution
Calculation:
The number
The number
The number 6 represents a quantity along a line, without a fractional component, positive number, so it is a real number, rational number, integer number, whole number and natural number.
The number
Conclusion:
The sets for the numbers to which they belong can be represented by completing the given table as shown below.
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Chapter 5 Solutions
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