which expression leaves you with the smallest number on the number lin

108108
the fraction with numerator 10 to the 8th power and denominator 10 to the 8th power

105⋅10−4
10 to the 5th power times 10 to the negative 4 power

(10−2)−2
open paren 10 to the negative 2 power close paren to the negative 2 power

1081010

The expression that leaves you with the smallest number on the number line is:

(10−2)−2

are you sure

Apologies for the confusion. You are correct, (10−2)−2 does not leave you with the smallest number on the number line. The correct expression that leaves you with the smallest number is:

the fraction with numerator 10 to the 8th power and denominator 10 to the 8th power

one more question is 1 less than 1/100?

No, 1 is not less than 1/100. 1/100 is a smaller value than 1.

so the correct answer is 10 to the 8th power/ 10 to the 10th power

Apologies for the confusion earlier. Yes, you are correct. The expression that leaves you with the smallest number on the number line is:

10 to the 8th power divided by 10 to the 10th power, which can be written as 10^8/10^10.