Question

How would you classify the decimal form of 11/ 3 ?

Answer 1

Rational, non terminating, repeating

Explanation:

`11/3` equals to
`3(2)/(3)`

It is so called repeated or recurring decimal

STEP· 1 Divide numerator
`(2)` by the denominator
`(3)`

2÷3
`=` 0·66666666

STEP· 2 Add this value to the integer part

3
`+` 0·66666666
`=` 3·6666666

Also we will get in approximated value

`3(3)/(2)`
`=` Rounded to 1 digit figure 3·6

`3(3)/(2)`
`=` Rounded to 2 digit figure 3·66

`3(3)/(2)`
`=` Rounded to 3 digit figure 3·666

`3(3)/(2)`
`=` Rounded to 4 digit figure 3·6666

AND SO ON