SOL 7.1
Essential Questions:
1- What does a negative exponent
mean when the base is 10?
2- When should scientific notation
be used?
What is Scientific
Notation?
How do you change a
number from
standard form to
scientific notation?
How do you change a
number from
scientific notation
to standard form?
What does a negative
exponent with
scientific notation
mean?
***Directions: Fold in half vertically and cut on
the dash line only***
Copy 1 sided to 2 sided
How do you compare
numbers in
scientific notation?
EXAMPLE:
124,560,000,000,000
is written as 1.2456 x1014
in Scientific Notation
EXAMPLE:
START: 35,924,900,000
1)3.5924900000
2) The decimal moved 10 places
3) 3.59249
4) 3.59249 x 1010
EXAMPLE:
START: 8.632 x 107
1) 8 6 3 2 0 0 0 0.
2) 86,320,000
EXAMPLE:
START: 9.56 x 10-5
1) 0. 0 0 0 0 9 5 6
2) 0.0000956
EXAMPLE:
START:
Put in order from least to greatest
8.23 x105, 1.67 x108, 3.95 x104
Answer:
3.95 x104, 8.23 x105, 1.67 x108
It is a way to write very large or very
small numbers in a more concise, easy to
read, and understand format. It is in the
form on a number (greater than 1 and
less than 10) time 10 to some power.
Step one: move the decimal BEHIND the
first non-zero number.
Step two: count the number of place
values that the decimal moved in the
number.
Step three: remove any zeros from the
end of the number.
Step four: re-write the number as a
product a number times 10 to some
power.
Step one: move the decimal the number
of places the exponent indicates (don’t
forget to add zeros for new place
values).
Step two: rewrite the new number
A negative exponent indicates a small
number. A negative exponent would
move the decimal to the left (same
direction as the negative numbers on a
number line).
Compare the EXPONENTS FIRST! If the
exponents are the same, compare the
numbers in the front.