cumulonimbus wrote:
Bunuel wrote:
Baten80 wrote:
I found the answer options are:
a. 10^210
b. 10^180
c. 10^150
d. 10^90
e. 10^6
I answered B.
What is correct?
10^180 - 10^30 =
Which of the following best approximates the value of the expression above?Yes, answer 10^180 is correct. Note that we need
approximate value of the given expression and as 10^(180) is much larger number than 10^(30) then 10^(30) is pretty much negligible in this case: 10^(180)-10^(30)=~10^(180).
Check similar question for practice:
tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029229Hope it helps.
Hi Bunnel,
Their are two sets of options on this page.
How to decide b/w 10^180 and 10^179.
Hi cumulonimbus
I think 10^180 is closer. Because 1 is very small, 10^x - 1 is closer to 10^x than 10^(x-1).
Let try few examples, you can see the pattern.
10^2 - 1= 99 ==> closer to 10^2 = 100 than 10^1 = 10
10^3 - 1 = 999 ==> closer to 10^3 = 1000 than 10^2 = 100
10^4 - 1 = 9999 ===> closer to 10^4 = 10000 than 10^3 = 1000
.....
10^180 - 1 ==> closer to 10^180 than 10^179
Hope it helps.