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) 1.104.3.102 = ?
7) 42.10-2.0.14.103 = ?
8) 6.2.104.3.8.10-7.5.102 = ?
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 = 12v1/2 + 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.
