Transcript 02. Exponents and Number Sense PPTx

Exponents & Number Sense:
An Introduction to Powers of Ten
Think About It
Space is BIG! Cosmic Voyage - Powers of Ten
What does it mean to say that
 the sun is 865,000 miles across?
 Jupiter is 500,000,000 miles from the sun?
 The nearest star (after the sun), Proxima (or
“near”) Centauri, is 4.3 light-years away or
25,277,549,200,000 miles
Space is Big!
Object
Average Distance
(million miles)
Object
Average Distance
(million miles)
Mercury
Venus
Earth
36
67
93
Saturn
Uranus
Neptune
888
1,784
2,799
Mars
Jupiter
141
484
Proxima Centauri
Andromeda Galaxy
25,277,549
14,696,249,500,000
Discussion
 How did you know where to place your
Post-it note?
 Did you are any of your colleagues have a
challenge in trying to accomplish the task?
Explain.
 What is the problem that we are facing?
Discussion
 Linear scale – evenly spaced units represent
equal distances
 Solutions? What about using a LARGER
scale? Let’s try it!
Discussion
 How did it go? Any issues?
 Are there any new challenges with the much
larger scale we are now using?
 Where are Proxima Centauri and the
Andromeda Galaxy?
We’d need a sheet of paper about 463,896.7
miles long to get both of these on the same
number line!
Powers of Ten as a Tool
 Powers of ten scale – equal distances are
not equally spaced, 10Xs larger
 Let’s try it!
 We know that Mars is 141 million miles and
100 < 141 < 1,000 so Mars’ distance would
be placed at what power of ten?
Powers of Ten as a Tool
 We know that Mars is 141 million miles and
100 < 141 < 1,000 so Mars’ distance is
between 102 and 103 or from trial and error
we see about 2.15
 Where would Saturn be placed? How about
Andromeda Galaxy?
Powers of Ten as a Tool
 What are the benefits and drawbacks of
using a power of ten scale?
Questions?
Trey Cox
[email protected]
480-857-5437