express 0.6 in the form, where p and q are integers and q=0.
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express 0.6 in the form, where p and q are integers and q=0.
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Given : 0.6
To Find : express 0.6 in the p/q form, where p and q are integers and q≠0
Solution:
N = 0.6
=> N = 6/10
=> N = 3/5
0.6 = 3/5
if N = 0.6 bar = [tex]0.\overline{6}[/tex]
=> 10N = [tex]6.\overline{6}[/tex]
=> 9N = 6
=> N = 6/9
=> N = 2/3
[tex]0.\overline{6}[/tex] = 2/3
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SOLUTION
TO DETERMINE
To express 0.6 in the form,
[tex] \displaystyle \sf{ \frac{p}{q} \: }[/tex]
Where p & q are integers with [tex]q \ne \: 0[/tex]
CONCEPT TO BE IMPLEMENTED
RATIONAL NUMBER
A Rational number is defined as a number of the form [tex] \displaystyle \sf{ \frac{p}{q} \: }[/tex]
Where p & q are integers with [tex]q \ne \: 0[/tex]
EXAMPLE
[tex] \displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers[/tex]
EVALUATION
Here the given number is 0.6
Which can be rewritten as below
[tex]0.6[/tex]
[tex] \displaystyle \sf{ = \frac{6}{10} }[/tex]
[tex] \displaystyle \sf{ = \frac{3}{5} }[/tex]
Which are of the form
[tex] \displaystyle \sf{ \frac{p}{q} \: }[/tex]
Where p & q are integers with [tex]q \ne \: 0[/tex]
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