Answer:
A rational number is a number that stops and doesnt go on forever and ever. Therefore the sequence of numbers would be no, yes, no, yes, yes
Step-by-step explanation:
Any number that is a decimal that eventually stops is also rational but decimals that never end are irrational.
A rational number is a number that can be expressed in the form [tex]\dfrac{a}{b}[/tex], where
a and b are integers.
The correct choices are;
Reasons:
The given numbers are presented as follows;
3.02859...
3
3.14159...
3.[tex]\overline 7[/tex]
Solution:
Rational numbers have terminating or recurring decimals.
The ellipses after the number indicates that the number 3.02859...,
3.14159..., and have decimals that are non terminating and non recurring,
they are therefore not rational numbers.
The number, 3 can be expressed as [tex]3 = \mathbf{\dfrac{3}{1}}[/tex], it is therefore, a rational number
The number 3.[tex]\overline 7[/tex], has a recurring decimal of [tex].\overline 7[/tex] = 0.777...7, and we have;
[tex]3 . \overline 7 = 3\dfrac{7}{9} = \dfrac{34}{9}[/tex]
3.[tex]\overline 7[/tex] is therefore a rational number.
Which gives;
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