Alien (Base 4)

Human (Base 10)

Alien (Base 4)

Human (Base 10)

The Alien Bazaar Name_____________________Lab #20 - Exponents and Scientific Notation

When you write a number in decimal (Base 10), each place value represents a power of 10.

___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___1014 1013 1012 1011 1010 109 108 107 106 105 104 103 102 101 100

What if humans didn't have 10 fingers? How would it look then? In the box on the side, write how many fingers your alien has. (You can also draw a picture of the alien, and name its species.) Then fill out the place values for your alien.

___ ___ ___ ___ ___ ___ ___ ___ ___ ___

Ones

Tens

Hundreds

Thousands

Ten-Thousands

Hundred-Thousands

Millions

Billions

Trillions

Ones

Your species is selling several items at the Intergalactic Bazaar. In the space below, write down the name of the product, how many credits ( ) it costs in decimal, and how many credits it costs in your number system.

Items Decimal (Base 10) Cost Alien Cost

Once your group has agreed on the prices, split up into two pairs and set up a shop. One pair of students will run the shop as the cashiers.

You also have a shopping list of things you need to buy. The other pair of students will go out as buyers to buy the items they need on their shopping list. Use chips as a cost of 1, and write down bills as large as you need

100 and 1000 are written in your base. If you multiply them together, what do you get, in your base and in base-10? Why does that make sense? __________________________________________________________________________________________________________________________________________________________________________________________________

13 and 132 are written in base-4. Try adding them together without translating into base-10. Then translate and see if you got it right.

The number 13620042 is written in your base 8. How would you write that in scientific notation for base-8? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Shopkeeper Inventory Sheet Name________________

Put out your items and list the prices using the alien number system. (Keep the decimal cost hidden from potential buyers.) In the table below, keep track of each item you sell, including how much it cost in your money, base-10 money, and in their money.

Item Cost inYour Base Base-10 Cost Buyerʼs

BaseCost in

Buyerʼs Base

TOTAL

Buyer Purchase Sheet Name_____________________

Several stores will stock the items you need, so see if you can get the best deal! But be careful: each species lists the price in their own number system. You’ll have to convert to your own number system in order to know how much money to give them.

Item Cost in Your Base Base-10 Cost Sellerʼs

BaseCost in

Sellerʼs Base

TOTAL