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Transcript 
Pre-Algebra
Mrs. Spanier
Scientific Notation
• Numbers such as 1,953,000,000 and
0.00009 are written in standard
form.
• Another way to write a number is to
use scientific notation.
Scientific Notation
cx
n
10
where 1 ≤ c < 10 and n is an integer
Standard Form
2,000,000
0.005
Scientific Notation
2 x 106
5 x 10-3
Write in Scientific Notation:
1) 42,590,000
1) 4.259 x 107
2) 539,000
2) 5.39 x 105
3) 0.0000574
3) 5.74 x 10-5
4) 0.00000004
4) 4.0 x 10-8
Write Numbers in Standard Form
1) 2.0075 x 106
1) 2,007,500
2) 7.0234 x 105
2) 702,340
3) 1.685 x 10-4
3) 0.0001685
4) 3.09 x 10-6
4) 0.00000309
Order Numbers in Scientific Notation
Order from least to greatest:
103,400,000, 7.8 x 108, 80,760,000
780,000,000
80,760,000,
103,400,000,
7.8 x 108
Your turn: Order from least to greatest.
2.7 x 105, 3.401 x 104, 27,500
Adding and Subtracting
Scientific Notation
Mrs. Spanier
Pre-Algebra
To Add or Subtract…
1. Change numbers to standard form.
2. Add or subtract them.
3. Convert answer back into scientific
notation.
Solve. Write answers in scientific
notation.
1. (2.4 x 102)+(1.3 x 105)
= 240 + 130,000
= 130,240
= 1.3024 x 105
2. (5 x 10-2)+(7.4 x 101)
= 0.05 + 74
= 74.05
= 7.405 x 101
3. (4 x 103) – (3.1 x 105)
= 4,000 – 310,000
= -306,000
= -3.06 x 105
4. (8.1 x 10-3) – (2 x 10-3)
= 0.0081 – 0.002
= 0.0061
= 6.1 x 10-3
Multiplying and Dividing
Scientific Notation
Compute with Numbers in Scientific
Notation
Evaluate the expression. Write your
answer in scientific notation.
(8.5 x 102)(1.7 x 106)
= 1.445 x 109
(5.7 x 103)(2.6 x 104)
= 1.482 x 108
Compute with Numbers in Scientific
Notation
Evaluate the expression (by distributing).
Write your answer in scientific notation.
(1.5 x 10-3)2
= 2.25 x 10-6
(2.4 x 10-4)2
= 5.8 x 10-8
Your turn: Evaluate each expression.
Write your answer in scientific notation.
1) 1.2 x 104
1.6 x 10-3
= 7.5 x 106
2) 2.4 x 10-2
2.5 x 104
= 9.6 x 10-7
Your turn: Evaluate each expression.
Write your answer in scientific notation.
(1.3 x 10-5)2
= 1.69 x 10-10
(1.1 x 103)(4.2 x 100) = 4.62 x 103
4.5 x 105 = 3 x 107
1.5 x 10-2
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