1. Scientific Notation A short-hand way of writing large numbers without
writing all of the zeros.

2. The Distance From the Sun to the Earth
93,000,000 miles

3. Step 1 93,000,000 = 9.3000000 Move decimal left
Leave only one significant number in front of the decimal
93,000,000 =

4. Step 2
Write number without zeros
93,000,000 = 9.3

5. Step 3 7 93,000,000 = 9.3 x 10 Count how many places you moved decimal
Make that your power of ten
The power of ten is the letter “E” (exponential) for your calculators.
93,000,000 = 9.3 x 10 7

6. The power of ten is 7 because the decimal moved 7 places. 7
93,000,000 = 9.3 x 10 7

7. 93,000, Standard Form
9.3 x Scientific Notation
4567 x
Scientific Notation
Standard Form

8. What if it has a decimal? .000,000,043 --- Standard Form
Move the decimal to the right after the first significant (not a zero) number.
.000,000, Standard Form
4.3 x Scientific Notation

9. Practice Problems Write in scientific notation or standard form.
1.) 9.85 x 10-4? =
2.) 64,100,000,000 =
3.) x 10-6 =
4.) 431,200,000 =
5.) .000,0496=
.000,985
6.41 x1010
.000,00279
4.31 x 108
4.96 x 10-5

10. More Practice Problems
On these, decide where the decimal will be moved.
734,000,000 = ______ x 108
.000,000,000,870 = ______x 10-10
90,000,000,000 = _____ x 1010
Answers
7.34 x 108
2) x 10-10
3) 9.0 x 1010

11. Complete Practice Problems
Write in scientific notation .
50,000
7,200,000
.000,000,802
Answers
1) 5.0 x 104
2) 7.2 x 106
3) 8.02 x 10-7

12. Scientific Notation to Standard Form
Move the decimal to the right
3.4 x 105 in scientific notation
move the decimal
--->
340,000 in standard form

13. Move the decimal to the right.
Write in Standard Form
Move the decimal to the right.
6.27 x 106
9.01 x 104
4.603 x 108
9.94 x 102
6,270,000
90,100
460,300,000
994

14. Write in Scientific Notation
Move the decimal to the left.
3.89 x 10-7
3.872 x 10-6
8.940 x 10-3
4.931 x 10-3
x 10-4
.000,000,389
.000,003,872
.00894

15. Write in Scientific Notation
7.882 × 10-2
× 10-6
1.18 × 105
8.72 × 104
2.786 × 10-5
6.64 × 10-7
4.5 × 102
× 104
7.7 × 102
8.5 × 10-6 =
0.000, = =
87200 =
0.000,02786 =
0.000, =
450 = =
770 =
0.000,0085 =

16. 1. What is this number in standard form? 6.73 x 10-6
6,730,000
673,000

17. 2. When the exponent is positive you move the decimal to the:
Left
Right
Top
bottom

18. 3. What does your calculator use to designate as a power of ten for scientific notation10 P G E

19. 4. Why is scientific notation important when dealing with astronomy?
They want to
They are really big numbers and they are lazy
Planets and stars are really far away so using scientific notation makes it easier to record the numbers
It helps with Inverse Square Law

20. 5. Which of these numbers shows 1 million in scientific notation?
1 x 103
1 x 104
1 x 107
1 x 106

21. 6. Changer 1204.6 in scientific notation?
1.2 x 103
120 x 10-2
12 x 102
1204 x 100

22. 7. Change 17.8 in scientific notation?
1.78 x 102
1.78 x 101
1.78 x 10-1
1.78 x 10-2

23. 8. Change 567,310 in scientific notation?
567 x 103
56.7 x 105
x 105
5 x 106

24. 9. Convert 8.36 x 102 in scientific notation?
83600
8360
836
836000

25. 10. Convert 9.16 x 106 in scientific notation?
9,160
9,160,000