Write down the numerical value of the following:

$1-0.99$

Write down the numerical value of the following:

$1-0.999$

Write down the numerical value of the following:

$1-0.999999999$

Write down the numerical value of the following:

$1-0.9$

$1-0.99$

$1-0.999$

$1-0.999999999$

Comment on your answers. What is happening to the answer as the number of digits in the subtracted number increases? What is the answer getting closer to? Will it ever get there?

Use algebra to express $0.\stackrel{.}{6}$ and $0.\stackrel{.}{2}$ as fractions in their simplest form.

Express $0.\stackrel{.}{6} + 0.\stackrel{.}{2}$ as a recurring decimal.

Express $0.\stackrel{.}{6} + 0.\stackrel{.}{2}$ as a fraction in its lowest terms. 

Express $0.\stackrel{.}{4} + 0.\stackrel{.}{5}$ as a fraction in its lowest terms. 

Jessica's teacher asks a class to find the largest number that is smaller than $4.5$. Jessica's friend Jeevan gives the answer $4.4$.

Why is Jeevan not correct?