Answered

Discover a wealth of knowledge and get your questions answered at IDNLearn.com. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

What type of number is [tex]\frac{4}{9}[/tex]?

There may be more than one correct answer. Select all that apply.

- Whole
- Natural
- Integer
- Rational

Sagot :

GinnyAnsweridn
To determine the type of number that [tex]\(\frac{4}{9}\)[/tex] is, we can consider the definitions of the different types of numbers:

1. Whole Numbers: Whole numbers are non-negative integers including zero (0, 1, 2, 3, ...). A whole number must be an integer that is not negative.

2. Natural Numbers: Natural numbers are positive integers (1, 2, 3, ...). They are whole numbers that are positive and do not include zero.

3. Integers: Integers include all whole numbers and their negative counterparts (-3, -2, -1, 0, 1, 2, 3, ...).

4. Rational Numbers: Rational numbers are numbers that can be expressed as the quotient or fraction [tex]\(\frac{a}{b}\)[/tex] of two integers, with the denominator [tex]\(b\)[/tex] not equal to zero.

Let's check [tex]\(\frac{4}{9}\)[/tex] against these definitions:

1. Whole Number: [tex]\(\frac{4}{9}\)[/tex] is not a whole number because it is not a non-negative integer. It is a fraction and not an integer.

2. Natural Number: [tex]\(\frac{4}{9}\)[/tex] is not a natural number because it is not a positive integer. It cannot be counted as one of the natural numbers.

3. Integer: [tex]\(\frac{4}{9}\)[/tex] is not an integer because it is a fraction and does not represent a whole number.

4. Rational Number: [tex]\(\frac{4}{9}\)[/tex] can be expressed as the fraction [tex]\(\frac{4}{9}\)[/tex], where 4 and 9 are both integers, and the denominator is not zero. Hence, [tex]\(\frac{4}{9}\)[/tex] is a rational number.

Considering the results:

- Whole: No, because [tex]\(\frac{4}{9}\)[/tex] is not a non-negative integer.
- Natural: No, because [tex]\(\frac{4}{9}\)[/tex] is not a positive integer.
- Integer: No, because [tex]\(\frac{4}{9}\)[/tex] is not a whole number.
- Rational: Yes, because [tex]\(\frac{4}{9}\)[/tex] can be expressed as a fraction [tex]\(\frac{a}{b}\)[/tex], where a and b are integers, and b is not zero.

Therefore, [tex]\(\frac{4}{9}\)[/tex] is a rational number.

The types of numbers that [tex]\(\frac{4}{9}\)[/tex] falls into are:

[tex]\[ \text{rational} \][/tex]

The correct answer is:

[tex]\[ [5] \][/tex]

So, the only correct type that applies to [tex]\(\frac{4}{9}\)[/tex] is:

[tex]\[ \text{rational} \][/tex]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.