QuestionClassify 7.9 as a member of the following sets: natural, integer, rational, or real. Select all that apply.
Studdy Solution
STEP 1
Assumptions1. The number given is7.9. We need to classify this number as one or more of the following natural number, integer, rational number, or real number.
STEP 2
First, let's understand what each of these types of numbers represents.
A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers is often denoted by the symbol .
An integer is a number that can be written without a fractional or decimal component. It includes the counting numbers, zero, and the negative of the counting numbers. The set of integers is often denoted by the symbol .
A rational number is a number that can be expressed as the quotient or fraction of two integers, with the denominator not equal to zero. The set of rational numbers is often denoted by the symbol .
A real number is a value that represents a quantity along a continuous line. The real numbers include all the rational numbers, such as the integer -5 and the fraction4/, and all the irrational numbers, such as (1.41421356..., the square root of two, an irrational algebraic number). The set of real numbers is often denoted by the symbol .
STEP 3
Now, let's classify the given number,7.9.
7.9 is not a natural number because natural numbers are whole numbers and7.9 is not a whole number.
STEP 4
7.9 is not an integer because integers are whole numbers without a fractional or decimal component and7.9 has a decimal component.
STEP 5
7.9 is a rational number because it can be expressed as the fraction79/10, where both79 and10 are integers and10 is not equal to zero.
STEP 6
.9 is a real number because all rational numbers are also real numbers.
So,.9 is a member of the set of rational numbers and the set of real numbers.
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