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) 62300050600077242 = ?

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. Also match correct abbreviation for the prefix to the name.

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

i) n ii) M iii) G iv) P v) T vi) m vii) K

 

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.