Scientific Notation (with work).notebook
March 02, 2015
Scientific Notation
1) Write 3,560 in scientific notation
2) Write 0.35 in scientific notation
3) Write 2.4 x 10 3 in standard form.
4) Write 6.28 x 10 ­4 in standard form.
Why isn't 36.5 x 10 4 written is scientific notation?
How do you write 36.5 x 10 4 in scientific notation?
3.65 x 105 Since we made the first number one place smaller,
we need to make the exponent one place larger!
TRY THIS!
Write 123 x 10 ­5 in scientific notation.
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Scientific Notation (with work).notebook
March 02, 2015
What do you think you would have to do to simplify (3.2 x 103)(2 x 105)?
What do you think you do with 3.2 and 2?
What do you think you do with the exponents?
So, we get 6.4 x 10 8
try this!
Simplify (4 x 104) (2.1 x 107)
Simplify each of the following. Write your answers in scientific notation.
1) (2.4 x 102) (3 x 107) = 2) (3.2 x 105) (5 x 103) =
3) (2.4 x 105) (4.6 x 103) =
4) (0.7 x 10­8) (0.6 x 106) =
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Scientific Notation (with work).notebook
March 02, 2015
What do you think you would have to do to simplify (15.6 x 109)÷(3 x 104)?
What do you think you do with 15.6 and 3?
What do you think you do with the exponents?
So, we get 5.2 x 10 5
try this!
Simplify (9.43 x 106)÷ (4.1 x 103)
Simplify each of the following. Write your answers in scientific notation.
1) (6.3 x 105)÷ (2 x 103) = 2) (10 x 10­7) ÷(2 x 103) =
3) (0.8 x 102) ÷(0.02 x 10­4) =
4) (125 x 10 3) ÷(0.5 x 102) =
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Scientific Notation (with work).notebook
March 02, 2015
What do you think you would have to do to 3
simplify (3.6 x 105) + (2.7 x 10 )?
We have to get both expression to have the same exponent!
So, we can change the second expression into
. Now, we ADD the coefficients and keep the base and exponents the same!
try this!
Simplify (1.83 x 102) + (2.9 x 106)
Simplify each of the following. Write your answers in scientific notation.
1) (1.36 x 108) + (6.2 x 106) = 2) (4.026 x 107) + (3.45 x 104) =
3) (8.1 x 102) ­ (4 x 107) =
4) (2.3 x 10 4) ­ (1.5 x 102) =
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Scientific Notation (with work).notebook
March 02, 2015
CHALLENGE #1
Simplify. Write your answer in scientific notation.
(9.4 x 10­7) + (4.1 x 10­10) CHALLENGE #2
Simplify. Write your answer in scientific notation.
(12.8 x 109) + (4.1 x 108) ­ (0.6 x 107)
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Scientific Notation (with work).notebook
March 02, 2015
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Scientific Notation (with work).notebook
March 02, 2015
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Scientific Notation (with work).notebook
March 02, 2015
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