I: Scientific Notation: In each case report your answer in proper scientific notation as some number between 1 and 10 multiplied by 10 to some power.

1) 12000 = ?

2) 4200000000000 = ?

3) 0.005 = ?

4) 0.000102

5) 0.00000000000000022 = ?

II: Exponents: Here are a few problems to check that you are working with exponents effectively. In each case report your answer in proper scientific notation as some number between 1 and 10 multiplied by 10 to some power. For the ones where the numbers are simple do them both by hand and with a calculator to make sure your answers agree. In all cases determine the proper exponents without using a calculator to build your skills.

6) 1^.10^4.3^.10² = ?

7) 42^.10^-2.0.14^.10³ = ?

8) 6.2^.10^4.3.8^.10^-7.5^.10² = ?

9,10,11)

[10] [2.5] [7/60=.12]

 

III: Equation Manipulation: In each case "solve the equation" for the indicated variable. This means you should have a valid algebraic expression (not a number) for the indicated variable.

12) x=32 + 8t: Find an expression for t.

13) v=81t - 12: Find an expression for t.

14) 5x = 14t + 3: Find an expression for t.

15) a = 12v^1/2 + 9: Find an expression for v.

16) 4x=5t(3/4): Find an expression for t.

IV: Scientific Prefixes: Match the correct exponential description from the list on the right with the appropriate term in the left list.

17)

kilo ______ pico _____ mega_____ milli _____ giga _____ nano ____ tera _____

a) 10-12 b) 10-3 c) 109 d) 1012 e) 103 f) 10-9 g) 106

 

18) Rank the prefixes in the left hand list from the one that represents the smallest quantity to the one that represents the largest quantity.