Download Hint: Convert miles into nautical miles

STUDENT NAME: ________________________________________BLOCK # ______________ DATE __________
1. Ocean Conversions
In this Module, we have used units of feet,
meters, and miles to measure depth and
distance in the oceans. But early sailors used
nautical measurements, such as FATHOMS,
NAUTICAL MILES, and LEAGUES, to
determine these distances.
1 fathom = 6 feet
1 mile = 5,280 feet
1 nautical mile = 1.151 miles
1 league = 3 nautical miles
Use the following formulas:
Fathom = # of Feet ÷ 6 feet (1 fathom)
Miles = # of Feet ÷ 5280 feet (1 mile)
Nautical Miles = # of miles ÷ 1.151
League = # of nautical miles ÷ 3
1. The deep submersible “Alvin” can safely
descend to 14,764 feet. Find the depth to
which Alvin can descend in the following
units.
Round all values to hundredths place.
Answers:
Fathoms =__________
Miles = ___________
2. Scientific Notation
When the sizes of objects or distances become
very large, we describe them with larger units.
For example, we say “one mile” instead of
“5,280 feet” or “475 miles” instead of
“2,508,000 feet.” Changing units (for example,
from feet to miles) is one way to describe sizes
of large objects or distances using manageable
numbers. Another way to describe large
Numbers is a shorthand method called
scientific notation, which involve the use of
exponents. An exponent shows how many
times a number is multiplied by itself; for
example:
5 x 5 = 5^2 = 5² = 25 Or: 37 x 37 x 37 x 37 x 37
= 37^5
In scientific notation, we can write very long
numbers in a short form by expressing them as
powers of ten. To do this, we write the number
as the product of a number between one and
ten and a power of ten. For example, the total
surface area of the world’s oceans is
approximately 143,000,000 square miles. To
write this in scientific notation, first, move the
decimal point left until you have a number
between 1 and 10 (1.43). Then, count the
number of spaces you moved it to determine
the exponent (8). The result is 1.43 x 10^8.
Change the first two numbers into scientific
notation and the third number into a “long”
number.
Nautical miles = __________
Leagues = __________
2. Convert seven miles to leagues.
Hint: Convert miles into nautical miles
then into leagues.
Answer: 11,480 feet =
_____________________________________
Answer: 64,186,000 square miles =
3. Speed of Waves
Two measurements relating to the speed of
waves are the wave period and the wave
frequency. Wave period is the time it takes for
two successive wave crests to pass the same
fixed point (seconds per wave). Wave
frequency is the number of waves that pass a
fixed point in a second (waves per second).
Wave period is the inverse of wave frequency,
and vice versa. Find the inverse of a value by
dividing one by the value. For example, wave
frequency is one divided by wave period.
Three wave period measurements:
Period 1 = .15 sec.
Period 2 = .40 sec.
Period 3 = .20 sec.
1. Use your calculator to figure the average
Wave period (seconds/wave).
Formula:
Average = (Period 1 + period 2 + Period 3) ÷ 3
Average wave period: ____ seconds
2. Figure the average wave frequency (inverse
Of wave period, or waves per second).
Formula:
Average wave frequency = 1 ÷ average wave
Period
_____________________________________
Average wave frequency:
Answer: ________ leagues
(Round to the nearest hundredths place)
____ per second
Answer: cubic miles = 3.28 X 10^8 cubic miles
_____________________________________
OCEANOGRAPHY – 3 MATH/SCIENCE ENRICHMENTS _______/30 PTS.