days to sail from California to Hawaii. Secondly, the distance between California and Australia is of the distance between California and Hawaii. This means that of represents the time it takes to sail from California to Australia.
Two key points are given. Firstly, it takes
It is helpful to estimate this expression by rounding the given numbers.
as an expression using the rounded numbers and appropriate operation. Recall that
often indicates .
Now, calculate this new expression. Start by rewriting the percent as a fraction. Use the fact that a percent is the of a number to
Then, the fraction as much as possible.
The next step is to calculate the of this fraction and
Multiply the numerator of the fraction by
and leave the as is. Be sure to check if the fraction can be reduced before making any further calculations.
The calculations show that
This result means that it will take Kevin about
days to sail from California to Hawaii.
of In other words, the product of and should be evaluated. From Part A, the exact sailing time from California to Australia is given by
Repeat the used procedure one more time. First, rewrite the percent as a fraction in the simplest form.
by the numerator
to find the product of the fraction and
Then, reduce the fraction as much as possible and calculate the product and the .
The exact time of sailing from California to Australia based on the given numbers is
days. This number is pretty close to the estimated result of
days. It seems like sailing across the Pacific ocean will be quite a long and adventurous trip!