The document discusses scientific notation, which is a shorthand way of writing very large or small numbers. It explains that the sign of the exponent tells whether to move the decimal point to the right or left. Examples are provided of writing numbers in scientific and standard notation, such as writing 0.00709 as 7.09 × 10-3. The purpose is to teach how to translate between standard and scientific notation forms.

1. Scientific
Notation
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2. Scientific notation is a
shorthand way of writing. •20,000,000,00
0,000,000,000
,000 atoms
•0.00000003
centimeters
across
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3. The sign of the exponent tells which direction to move the
decimal.
• A positive exponent means move the decimal to the
right
• negative exponent means move the decimal to the left.
Helpful Hint
In scientific notation the number of
atoms in a penny is 2.0  1022, and
the size of each atom is 3.0  10–8
centimeters across.
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4. Write the number in standard
notation.
A. 1.35  105
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5. Write the number in
standard notation.
B. 2.7  10-3
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6. Write the number in standard
notation.
• C. –2.01  104
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7. Translating Standard Notation
to Scientific Notation
0.00709 Move the decimal to get a
number between 1 and 10.
7.09
7.09  10 Set up scientific notation.
7.09  10–3 = 0.00709
Write 0.00709 in scientific notation.
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8. 811,000,000 Move the decimal to get a
number between 1 and 10.
8.11
8.11  10 Set up scientific notation.
Write 811,000,000 in scientific
notation.
So 811,000,000 written in scientific notation
is 8.11  108.
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9. Thanks for watching!
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