Texas Instruments TI-34 II Teachers Guide - Page 13

Activity, Extension - scientific notation

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Star Voyage-Scientific Notation (Continued) Activity Present the following problem to students: You are a captain of a starship. You have been assigned to go to Alpha Centauri and you have 5 years to get there. The distance from the sun to Alpha Centauri is 2.5 x 1013 miles. The distance from the earth to the sun is approximately 9.3 x 107 miles. Your ship can travel at the speed of light. You know that light can travel a distance of 6 x 1012 miles in 1 light year. Will you be able to get to Alpha Centauri on time? Procedure 1. Using the TI-34 Ö, find the total distance you need to travel. 2.5 Q 1013 + 9.3 Q 107 = 2.5000093 Q 1013 miles 2. Next, find out how long it will take you to travel the distance. (distance traveled P 1 light year) 2.5000093 Q 1013 P 6 Q 1012 = 4.166682167 years 3. Can you make the trip in the given time? Yes Extension Now that you have been successful, you have been asked to make another trip. The distance from the Sun to Delta Centauri is 9 x 1013 miles. How long will it take you to get there from Earth? ≈15 years ³ 1. Press 2.5 C 13 T 9.3 C 7

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© 1999 T
EXAS
I
NSTRUMENTS INCORPORATED
TI
-
34
Û
: A Guide for Teachers
7
Star Voyage—Scientific Notation
(Continued)
Activity
Present the following problem to students:
You are a captain of a starship. You have been
assigned to go to Alpha Centauri and you have
5 years to get there. The distance from the sun to
Alpha Centauri is 2.5 x 10
13
miles. The distance
from the earth to the sun is approximately
9.3 x 10
7
miles. Your ship can travel at the speed of
light. You know that light can travel a distance of
6 x 10
12
miles in 1 light year. Will you be able to
get to Alpha Centauri on time?
Procedure
1.
Using the TI
-
34
Ö
, find the total distance you
need to travel.
2.5
Q
10
13
+ 9.3
Q
10
7
= 2.5000093
Q
10
13
miles
2.
Next, find out how long it will take you to travel
the distance. (distance traveled
P
1 light year)
2.5000093
Q
10
13
P
6
Q
10
12
= 4.166682167
years
3.
Can you make the trip in the given time?
Yes
Extension
Now that you have been successful, you have been
asked to make another trip. The distance from the
Sun to Delta Centauri is 9 x 10
13
miles. How long
will it take you to get there from Earth?
≈
15 years
³
1.
Press
2.5
C
13
T
9.3
C
7
<
.
2.5
¯
13
¼
9.3
¯¹
2.5000093
¿
10
13
2.
Press
W
6
C
12
<
.
Ans
¾
6
¯
12
4.166682167
Hint:
The Earth is
approximately 9.3 x 10
7
miles
from the Sun.