1. Scientific Notation
Objective:
Students will read and write numbers in
scientific notation.

2. Algebra Standards: 8 EE.3 and 8 EE.4
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

3. Scientific Notation used to write very large or very
small numbers expressed in the form … 2 3 . 12
x 10 -3 1 .
x 10

4. Scientific Form Decimal Form 4.83 a) 4.83 x 10 = 483 5.3 b) 5.3 x 10 =
#1 Scientific to Decimal/Standard Form
Write the number in Decimal Form
Scientific Form
Decimal Form 2
4.83 a)
4.83 x 10 =
483
5.3 -3 b)
5.3 x 10 =
0.0053 2
9.0 c)
9.0x 10 =
900 d)
1.2 x 10 -4
1.2 = e)
6.78 x 10
6.78

5. Scientific Notation is backwards?
Going from Decimal to
Scientific Notation is backwards?
Big Number = Positive Exponent
Small Number = Negative Exponent
483
0.0053
2,300,000
0.1
1.0
0.9
20.0
0.21
A number to the left of the
decimal is not ZERO
All numbers to the left of the
decimal are ZERO

6. Scientific Form Decimal Form a) 3,000,000 3 . x 10 3,000,000 b) 0.0823
#2 Decimal/Standard Form to Scientific
Write the number in Scientific Notation
Scientific Form
Decimal Form 6 a)
3,000,000 3 .
x 10
3,000,000 - 2 b)
0.0823 8 . 23
x 10
0.0823 c)
10.2 1 1 . 02
x 10
10.2 1 - d)
0.1 1 .
x 10
0.1 9 .
764
x 10
9.764 e)
9.764

7. #3 Operation with Scientific Notation
Perform the operation. Write the result in Scientific Notation. 7 -2 a)
(3.14 x 10 )
(5.2 x 10 ) 7 -2
(3.14 x 5.2)
(10 x 10 ) 5
(16.32)
x 10 1 5
1.632
x 10
x 10 6
1.632
x 10

8. #3 Operation with Scientific Notation
Perform the operation. Write the result in Scientific Notation. b)
5.4 x 10 -2
5.4 10 -2 x = -6
7.2 x 10 -6
7.2 10
0.75 x 10 4 = - 1 4
7.5
x 10
x 10 = 3
7.5
x 10 =

9. #3 Operation with Scientific Notation
Perform the operation. Write the result in Scientific Notation. 3 c)
(3 x 10 ) -4 3 -4 3 3 x
(10 ) =
-12 27 x 10 = 1
-12
2.7
x 10
x 10 =
-11
2.7
x 10 =

10. Assignment
Book Pg. 472 – 473
# 17 – 45 odd
#47 – 55 all