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UNIT REVIEW: NUMERICAL ANALYSIS

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Students! Answers are at the end of this page.
1. Convert the following:

2 300 g = _________ ng

100 km = _________ mm

2.3 x 10³ W = _______ GW

4.13 x 10¹¹ ug = _______ kg

2. Express in scientific notation:

23 001 = _________

0.000023 = __________

21 = ___________

230.12 x 10³ = _______________

3.Solve the following. Express each answer to the correct number of significant digits.

2.1 + 0.023 + 20.2 - 0.12 = _________

201 x 2.1 x 3.23 = _________

(2.003/1.3) + 1.2⁴ = __________

4. How many significant digits are in each of the following?

34 501 __________

0.000012 __________

230.12 x 10³ _________________

4.2 x 10²³ __________

5. Given the data below:

A	2.2	5.7	12.3	27.1	52.9
B	1.6	2.0	2.4	2.9	3.4

Plot a graph of A versus B with A on the vertical axis. Be sure to include all the elements of as proper graph.

Plot a graph of Log A versus Log B.

Calculate the equation which relates A and B. Your answer should be in the form:

A = kBⁿ

6. As a fund raiser, physics students cast small solid bronze busts of their principal to sell. One anonymous order came in for a larger version of the bronze bust which would be four times (4x) greater in every linear dimension than the original, smaller version. (ie: four times taller, four times wider, four times deeper)

How many of the small busts did the students have to melt down to cast one big bust?

7. Determine the equation which relates velocity (v) and power (p), given the data below, expressed in the form: v = kpⁿ

velocity (km/hr)	32	64	96.5	129	161
power (kW)	0.069	0.55	1.89	4.5	8.76

ANSWERS:
#1.
2.3 E12
1.0 E8
0.0023
413

#2.
2.3001 E4
2.3 E-5
2.1 E1
2.3012 E5

#3.
22.2
1400
3.6

#4.
5
2
5
2

#5.
final equation: A = 0.31B^4.2

#6.
64 busts

#7.
v = 78P^1/3

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