Answer:
2. Rational
3. Irrational
4. Irrational
5. Rational
6. 3 41/99
7. 8 9/100
8. 19/50
We have to determine, Identify the following as rational or irrational numbers.
4.5757, 61/9, 2π 5, √121
And write the following decimals as fractions in lowest terms.
3.414, 8.09, .38
According to the question,
Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number.
Any real number that cannot be expressed as the quotient of two integers is a irrational number.
It is a rational number because 4.5757 expressed in the form of p\q.
2. The number is 61\9.
It is a irrational number because 61\9 can not expressed as the quotient of two integers.
3. The number is 2π.
The product of a non-zero rational number and an irrational number is always an irrational number. 2π is an irrational number.
4. The number is [tex]\sqrt{121}[/tex].
The square root of 121 is a rational number if 121 is a perfect square. It is an irrational number if it is not a perfect square. Since 121 is a perfect square, it is rational number.
It can be written as fraction in lowest term is,
[tex]3.41 = \dfrac{341}{100}[/tex]
2.The number is 8.09.
It can be written in fraction in lowest term is,
[tex]8.09 = \dfrac{809}{100}[/tex]
3.The number is 0.38
It can be written in fraction in lowest term is,
[tex]0.38 = \dfrac{38}{100} = \dfrac{19}{50}[/tex]
To know more about Fraction click the link given below.
https://brainly.com/question/19617379
