Prove that the decimal representation of an irrational number is neither terminating nor repeating.
Answers
Step-by-step explanation:
The decimal representation of a rational number is
• either terminating or repeating
always terminating
always non-terminating
either terminating or non-repeating
The decimal representation of an irrational number is
always non-terminating
• neither terminating nor repeating
always terminating
either terminating or non-repeating
Q4) Between any two rational numbers there
• is no irrational number
are exactly two rational numbers
• is no rational number
• are many rational numbers
Q5) The product of two irrational numbers is
• always an integer
always irrational
always rational
• either irrational or rational
Explanation
The decimal representation of a rational number is
either terminating or repeating
always terminating
always non-terminating
either terminating or non-repeating
Ans The answer is none of the above
When rational numbers are converted into decimal fractions they can be both terminating and non-terminating decimals.
Q4) Between any two rational numbers there
is no irrational number
• are exactly two rational numbers
is no rational number
• are many rational numbers
Ans Between any two rational numbers there are many rational numbers
To find a rational number between p and q, we can add r and s and divide the sum by 2, that is
p+q/2 lies between p and q. 5
As an example,
/2 is a number between 2 and 3.
The product of two irrational numbers is
always an integer
always irrational
always rational
• either irrational or ration
Ans The product of two irrational numbers is either irrational or rational