1. Scientific Notation
1) Students will write numbers in scientific notation.
2) Students will write numbers in standard form.
Lesson objectives
Teachers' notes

2. Earth is about 93,000,000 miles from the Sun
How far do you think the planet 
Pluto is from the sun?
Make a guess and write it down 
on a piece of paper.
Pull
Earth is about 
93,000,000 miles 
from the Sun
Hint

3. Pluto is about 39 times as far from the Sun as Earth is.
Touch to
reveal
Pull
Answer
Pluto is about
3,647,000,000
miles from the Sun
Want to change 
your guess???

4. Imagine how easy it would be to make a mistake
Pull
Imagine how easy 
it would be to 
make a mistake
- Scientists study these big 
numbers all the time.
- They don't like writing big 
numbers either!
- So, they use ...
Click to reveal
Scientific Notation

5. a x 10n Scientific Notation - a shorter way to write a big number
(Write this down!!!)
a x 10n
a is a number
between 1 and 10
n tells how many
places you moved
the decimal

6. (write everything on this page down)
Write each number using scientific notation.
3,647,000,000
right now, the
decimal is here
Move the decimal to form a number 
between 1 and 10
3,647,000,000
*move 9 places to the left
*forms the number which is between 1 and 10
Click to reveal
3.647 x 109

7. 56,000,000,000,000 5.6 x 1013 Write using scientific notation.
Click to reveal answer
5.6 x 1013

8. 2,305,000,000,000 2.305 x 1012 Write using scientific notation.
Click to reveal answer
2.305 x 1012

9. .00000173 .00000173 Write in scientific notation. 1.73 x 10 -6
Scientists also use scientific notation for 
really, really, small numbers.
*Still need to move the decimal to form a 
number between 1 and 10
(Write the rest of this page down)
Write in scientific notation.
6 places to the right
Click to reveal
1.73 x 10 -6
*Exponent is negative when decimal moves 
to the right, or original number is smaller

10. Write in scientific notation.
Click to reveal
5.02 x 10 -7

11. 3,780,000 Can you work backwards??? 3.78 x 106 3.78
Write in standard form.
3.78 x 106
positive exponent will make 
number get bigger
move decimal
right 6 places
slide
3.78
Click to reveal
3,780,000

12. Write in standard form.
x 10 -7
number will get smaller 
since exponent is negative
1.0654
move 7 places
to the left
Slide
Click to reveal