Let $x=1\mathrm{.}99999$dots.

$($a$)$ Is $x<mn>2</mn>$ or is $x=2?$

$x<mn>2</mn>$

It is neither; $x>2$

$x=2$

$x<mn>2</mn>$ and $x=2$

It cannot be determined.

$($b$)$ Sum a geometric series to find the value of $x.$

$x=$

$($d$)$ How many decimal representations does the number $2$ have?

$$ decimal representations

$($d$)$ Which numbers have more than one decimal representation?

all real numbers

all integers except for $0$

the integers

the rational numbers except for $0$

all rational numbers that have a terminating decimal representation

Need Help? $$

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