5.781,Given real number is expressed in decimal form. Find whether they are rational or not. If rational, express them in the form p/q. Comment on factors of q.
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1
REAL NUMBERS :
a number which is either rational or irrational is called a real number.
RATIONAL NUMBERS :
A number that can be expressed as p/q , where p,q are Integers and q≠0 is called a rational number.
IRRATIONAL NUMBERS :
A number that cannot be expressed as p/q , where p,q are Integers and q≠0 is called a irrational number.
TERMINATING DECIMAL EXPANSION :
The number which terminates after a finite number of steps in the process of division is said to be terminating decimal expansion.
Given : 5.781
ANSWER :
5.781 is terminating ,so it is a RATIONAL NUMBER.
5.781 = 5781/1000
Hence, 5.781 is a RATIONAL NUMBER.
HOPE THIS ANSWER WILL HELP YOU...
Answered by
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Hi ,
5.781 is a rational number . Since
it is a terminating decimal.
5.781
= 5781/1000
= 5781/10³
= 5781/( 2³ × 5³ )
= p/q
q = 2³ × 5³
denominator is of the form 2^n × 5^m
where
n = 3 and m = 3
I hope this helps you.
: )
5.781 is a rational number . Since
it is a terminating decimal.
5.781
= 5781/1000
= 5781/10³
= 5781/( 2³ × 5³ )
= p/q
q = 2³ × 5³
denominator is of the form 2^n × 5^m
where
n = 3 and m = 3
I hope this helps you.
: )
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