MAT 117 Midterm: MAT_117_F_15
Name
MAT 117 Final Exam Fall 2015
December 16, 2015
----------------
Circle your instructor: Grace AnnMarie Victoria
Question Points Worth Points Earned
Group Portion 30
1 5
2 5
3
10
4 8
5 4
6
10
7 6
8 5
9 9
10
5
11
8
12
6
13
10
14
9
Total Score: /130
----
1.
(5 points) A well is 20 feet deep. A snail at the bottom climbs up 4 feet every day and slips
back 2 feet each night.
How
many days will it take for the snail to reach the top
of
the well?
2. (5 points)
In
the Roman Numeration System, the basic Roman numerals are:
I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000
Roman numbers are made
up
of
combinations
of
these basic numerals. For example,
CCLXXXI
""
281. The Roman Numeration System uses a subtraction principle as well
as
the
addition principle. Starting from the left,
we
add each numeral unless its value is smaller than
the numeral to its right.
In
that case, we subtract
it
from that numeral. For example, the
symbol
DC
represents 500 +
100,
or
600, and
CD
represents 500 -100, or 400.
When watching a movie, you notice that after the credits roll by, the Roman numeral
MCMLXXXIX appears, representing the year
in
which the movie was made. Express the
year
in the Hindu-Arabic Numeration system.
3.
(JO
points) True
or
False?
If
true, explain why.
If
false, explain why
or
give a
counterexample.
(a)
If
a numeration system
is
additive, then
it
is also multiplicative.
(b) One is a prime number.
(
c)
If
a number is divisible by 4 and 6, then it
is
also divisible by 24.
{d)
8nint
=
8tl,vtn
(e)
The
mean
of
a data set can be found
on
a box-and-whisker plot.
Document Summary
/130: (5 points) a well is 20 feet deep. A snail at the bottom climbs up 4 feet every day and slips back 2 feet each night. How many days will it take for the snail to reach the top of the well: (5 points) in the roman numeration system, the basic roman numerals are: I = 1, v = 5, x = 10, l = 50, c = 100, d = 500, m = 1000. Roman numbers are made up of combinations of these basic numerals. The roman numeration system uses a subtraction principle as well as the addition principle. Starting from the left, we add each numeral unless its value is smaller than the numeral to its right. In that case, we subtract it from that numeral. For example, the symbol dc represents 500 + 100, or 600, and cd represents 500 - 100, or 400.
