Respuesta :

When we say a rational number, this is a number that can be written as a ratio. That means it can be written as a fraction, both the numerator and denominator whole numbers. Based on the given value above, I believe that the answer is considered as a rational number because it can be written as a fraction: 3 and 29/100. Hope this answer helps.

Answer:

Yes, 3.02859 is a rational number

Step-by-step explanation:

A rational number  is a number represented by the quotient of two integers,

that is, in the form of a fraction.

For example: [tex]\frac{8}{7}[/tex]

The number above is called numerator, and the number bellow is called denominator.

If the number cannot be represented with a fraction, we call it an irrational number.

Some examples:

1)Number: 1.25

In   fraction: [tex]\frac{5}{4}[/tex]

So, it is rational.

2)Number: 0.333333333.....

In fraction: [tex]\frac{1}{3}[/tex]

So, it is rational.

3) Number: 2

In fraction: [tex]\frac{8}{4}[/tex]

So, it is rational.

4) Number: 1,414213562 ([tex]\sqrt{2}[/tex])

Cannot be expressed in fraction

So, it is irrational.

5) Number: 3,1415926535...([tex]\pi )[/tex]

Cannot be expressed in fraction

So, it is irrational.

To simply realize which number is rational and which is not, the following must be taken into account:

Rational numbers include:

*integers: (2, 145, -48)

*Exact decimal numbers (0.25,10.6, 7.09)

*Pure periodic decimal numbers (0.999..., 0.171717)

*Mixed periodic decimal numbers (3.25888..)

3.02859 is a rational number because it can be expressed as

[tex]\frac{302859}{100000}=3.02859[/tex]

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