Problema Solution
if x = 2×10^5 and y = 3×10^-3 correct to one significant figure, find the greatest and least possible values of
a) xy b) x/y
Answer provided by our tutors
If x = 2×10^5 to one significant figure, then 1.5x10^5 <= x <= 2.5x10^5
If y = 3×10^-3 to one significant figure, then 2.5X10^-3 <= y <= 3.5X10^-3
a) xy
1.5x10^5 *2.5X10^-3 <= xy <= 2.5x10^5 *3.5X10^-3
3.75x10^2 <= xy <= 8.75X10^2
b) x/y
(1.5x10^5)/(3.5X10^-3) <= x/y <= (2.5x10^5)/(2.5X10^-3)
0.43X10^8 <= x/y <= 10^8