which expression leaves you with the largest number on the number line.
A. (10^2)^8
B. 10^5 ∙ 10^-4 ∙ 10^-5
C. 10^15/10^-3
D. 10^8/10^18
To determine which expression leaves the largest number on the number line, we need to simplify each expression and compare the resulting numbers.
A. (10^2)^8 = 10^16
B. 10^5 ∙ 10^-4 ∙ 10^-5 = 10^(5-4-5) = 10^-4
C. 10^15/10^-3 = 10^(15-(-3)) = 10^18
D. 10^8/10^18 = 10^(8-18) = 10^-10
Comparing the numbers:
10^16, 10^-4, 10^18, 10^-10
The expression that leaves the largest number on the number line is C. 10^15/10^-3 = 10^18.