Transcript Scientific Notation

Starter
1. Count the number of stars and give
your best estimate.
2. Why is it difficult to work with
LARGE numbers?
Scientific Notation
• Scientific Notation- a way to
write a number multiplied by a
power of ten.
–Makes numbers easier to work with
EXAMPLE
• 3.0 x 10 8 = 300,000,000
– number between 1 and 10
– always there
– the number of places the decimal point is
moved.
EXAMPLE
• 2.7 x 10 –3 = 0.0027
– number between 1 and 10
– always there
– the number of places the decimal point is
moved.
Scientific Notation
• #’s less than 1 (0.3043948) have a
NEGATIVE exponent
•#’s greater than 1 have a POSITIVE
exponent
Starter
1. Expand: 4.4x104
2. Write in Scientific Notation: 870
3. Write in scientific notation: .0000019
4. Expand : 8.9 x10-3
• Multiplication – multiply
numbers before the x sign, add
the exponents
• Division – divide the numbers
before the x sign, subtract
exponents
Scientific Notation
• Addition/Subtraction- exponents
must be the same.
–If exponents aren’t same, change
the numbers before the x sign to
do the math.
–If exponents are same, do math,
keep exponent same.
Starter
1. Write in standard form(expand):
8.39 × 106
2. Write in scientific notation: 0.000000002567
3. Write 56 760 000 000 in scientific notation
4. Challenge- write in sci. notation: 6.357
Practice
Question
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65.7
0.00545
22 450 000
8.85 x 104
3.400 x 10-3
(2.0x102) x (3.0x103)
(2.0x102) + (4.0x102)
Answer
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6.57 x 101
5.45 x 10-3
2.245 x 107
88 500
0.003400
6.0 x 105
6.0x102