Question

Find three rational and three irrational numbers between 0.1 and 0.11

Answer 1

Hi ,

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Rational numbers:

A number which can be written in the form

of p / q , where p and q are integers and q is not

equals to zero is called a Rational number.

1 ) Terminating decimals

2) non - terminating repeating decimals

* Between any two given rational numbers there

exist uncounatable rational numbers .This property

of rational numbers is called the property of density.

Irrational number:

A number which cannot be expressed as a terminating

decimal or a repeating decimal is called an Irrational

number.
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1 ) 0.1 = 1/10 = ( 1 × 10 ) / ( 10 × 10 ) = 10 / 100

2 ) 0.11 = 1/100

Three rational numbers between 10 /100 and 1 /100 are

2 / 100 , 3/ 100 , 4/ 100

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Three irrational numbers between 0.1 and 0.11 are

0.101101110....,

0.1020220222...,

0.1010010001...,

I hope this helps you.

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