Exponent Laws

Simplifying exponents

Scientific notation

Add and Subtract with Scientific

Notation

Multiply and Divide with Scientific

Notation

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

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