Let x = 6.99999....
(a) Is x < 7 or is x = 7?
1. x<7
2. It is neither; x >7
3. X= 7
4. x < 7 and x = 7
5. It cannot be determined.

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

(c) How many decimal representations does the number 7 have?
(d) Which numbers have more than one decimal representation?
1. the integers
2. the rational numbers except for o
3. all rational numbers that have a terminating decimal representation except for o
4. all real numbers
5. all integers except for 0

Q&A Education