64 Chapter 1 Whole Numbers
The Language of Mathematics Here are some key words and phrases that
are often used to indicate division:
split equally distributed equally how many does each
goes into per how much extra (remainder)
shared equally among how many left (remainder)
EXAMPLE (^10) Timeshares Every year, the 73 part-owners of a
timeshare resort condominium get use of it for an equal number of days. How
many days does each part-owner get to stay at the condo? (Use a 365-day year.)
StrategyWe will divide 365 by 73.
WHYSince the part-owners get use of the condo for an equal number of days,
the phrase “How many days does each”indicates division.
Solution
We translate the words of the problem to numbers and symbols.
is equal to divided by
365 73
Use long division to find
Each part-owner gets to stay at the condo for 5 days during the year.
5
73 365
365
0
365 73.
The number
of days each
part-owner gets
to stay at the condo
the number
of
part-owners.
the number
of days
in a year
The number
of days each
part-owner gets
to stay at the condo
Self Check 10
TOURING A rock band will take
a 275-day world tour and spend
the same number of days in each
of 25 cities. How long will they
stay in each city?
Now TryProblem 97
Using Your CALCULATOR
The Division Key
Bottled water
A beverage company production
run of 604,800 bottles of mountain
spring water will be shipped to
stores on pallets that hold
1,728 bottles each. We can find the
number of full pallets to be shipped
using the division key on a
calculator.
604800 1728 350
On some calculator models, the key is pressed instead of for the
result to be displayed.
The beverage company will ship 350 full pallets of bottled water.