Scientific Notation

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Transcript Scientific Notation

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Objective
Express numbers in scientific notation
Vocabulary
Scientific Notation
A number written as a product of a factor
and a power of 10
And the factor must be greater than or equal
to 1 and less than 10
8.74 · 108
Example 1 Express Numbers in Standard Form
Example 2 Express Numbers in Standard Form
Example 3 Write Numbers in Scientific Notation
Example 4 Write Numbers in Scientific Notation
Write
in standard form.
9.62  105
Write the problem
Use the calculator
9.62  10 [yx] 5 =
Put 9.62 in calculator
962,000
Push the  sign
Put 10 in calculator
Answer: 962,000
Push the exponent key [yx]
Put the exponent 5 in
calculator
Push the = sign
1/4
Write
in standard form.
Answer: 53,200
1/4
Write
in standard form.
2.85  10-6
Write problem
Use Calculator
2.85  10 [yx] 6 - =
Put 2.85 in calculator
Push multiplication sign 
0.00000285
Put 10 in calculator
Push the exponent key [yx]
Answer: 0.00000285
Put the exponent 6 in
calculator then +/Push the = sign
2/4
Write
in standard form.
Answer: 0.000381
2/4
Write 931,500,000 in scientific notation.
Write the problem
931,500,000
Use calculator
Put number in calculator
931,500,000 [2nd] [sci]
9.315 08
9.315  108
Answer: 9.315  108
Push the 2nd key
Push the sci (it is the
scientific key) or #5
Must write with power of 10
Write 9.315
Write  10
Write exponent of 8
3/4
Write 35,600,000 in scientific notation.
Answer: 3.56  107
3/4
Write 0.00443 in scientific notation.
0.00443
Write the problem
Put number in calculator
0.00443 [2nd] [sci]
4.43 -3
4.43  10-3
Push the 2nd key
Push the sci (it is the
scientific key) or #5
Must write with power of 10
Write 4.43
Answer: 4.43  10-3
Write  10
Write exponent of -3
4/4
*
Write 0.000653 in scientific notation.
Answer:
6.53  10-4
4/4
Lesson 2:9
Assignment
Scientific Notation
13 - 36 All