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mamaluj [8]
3 years ago
14

Which number produces an irrational number when added to 0.4

Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0

Answer:

0.31311311131111....

Step-by-step explanation:

We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,

<u>Rational</u><u> number</u><u> </u><u>:</u><u>-</u> The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .

<u>Irrational</u><u> number</u><u> </u><u>:</u><u>-</u> Non terminating and non repeating decimals are called irrational number .

Recall the property that :-

<u>Property</u><u> </u><u>:</u><u>-</u><u> </u> Sum of a Rational Number and a Irrational number is Irrational .

So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,

\rm\implies Irrational\ Number = 0.31311311131111...

So when we add this to 0.4 , the result will be Irrational . That is ,

\rm\implies 0.4 + 0.31311311131111 ... = 0.731311311131111 ..

lesya [120]3 years ago
4 0
The answer is gonna be 0.3
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