Exponent Laws
Simplifying exponents
Scientific notation
Add and Subtract with Scientific
Notation
Multiply and Divide with Scientific
Notation
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When I multiply powers with the same base I _________ the
exponents?
ADD
When I divide powers with the same base I _________ the
exponents?
Subtract
When I raise a power to a power I ______________the exponents.
multiply
Anything to the zero power….
One
When a power is raised to a negative exponent, I have to….
Flip it! And make the exponent positive
There are about 100,000,000,000 trillion cells
in the human body. Write this amount in scientific notation.
1 x 1011
The population of the world is about 7 x 109 people . Write this
value in standard form.
7,000,000,000
. What number (in standard form) is equivalent to 7.31E-6?
0.00000731
The decimal number in scientific notation must follow this rule
Be between 1-10
1.092 x 103 in standard?
1092
When I add or subtract exponents I need to make sure that…
The exponents are the same
When the exponents are different I have to…
Make a table
• Sarah has about 7.2 x 106 hairs on her head. Sarah’s baby sister has about 3.2 x 104 hairs on her head. How much hair do they have altogether?
7.232 x 106 hairs
The distance from Earth to the sun is 9.3 x107 miles. Earth is 2.4 x105
miles from to the moon. Is Earth closer to the sun or the moon?
Moon
True or false? When I add in scientific notation I add the
exponents.
False
The last step in multiplication and division is..
Simplifying
1.092 x 103
2 x 108
• Carlos divided the exponents instead of subtracting the exponents.
• An object weighs 2 x 104 lbs. How much does an object 300 times heavier weigh? Write your answer in scientific notation
• 6 x 106 lbs