Would you rather have $0.10 each day for 10 days or would you rather receive a penny on the first day and double that amount everyday for 10

days?

Think about this……But do not answer out loud yet..

You will partner with the person directly across from you (next row). There are 6 rows, so there should not be a problem.

With your partner, QUIETLY determine how much money you would receive, depending on which decision you made on the opening question. You must write down your steps to find this amount in a clear and logical way. We will discuss your strategies as a class in a few minutes.

Your steps should follow the following format:

K:  What do I KNOW?  Based on the problem, I know that...W:  What do I WANT to do, find, or figure out? I am trying to find or figure out...C: CONDITIONS.  Are there are special conditions? (e.g. that you want a penny which doubles each day for 10 days or…you want $0.10 each day for 10 days)

Now, determine how much money you will have at the end of 1000 days with your same partner.Use the same format for your steps:

K:  What do I KNOW?  Based on the problem, I know that...W:  What do I WANT to do, find, or figure out? I am trying to find or figure out...C: CONDITIONS.  Are there are special conditions?(e.g. that you want a penny which doubles each day for 1000 days)

This brings us to the properties of exponents – a warm-up to Chapter 6.

There are 5 main properties of exponents:

Zero Property: anything raised to the power of 0 = 1

Multiplication Property: when multiplying terms with the same base, you will keep the base and add the exponents.

Division Property: when you are dividing terms that have the same base, you will keep the same base and SUBTRACT the exponents.

= = =

Negative Exponent Property: when you have a base with a negative exponent, you can not leave it as a negative. To make the exponent become positive, you move the base and exponent to the opposite side of the fraction – the negative sign drops as it moves.

Lastly the Power Property: when you are raising a base with an exponent to another power (exponent)…..keep the base and multiply the “power