Post on 05-Jan-2016
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Exponent Rules & Scientific NotationGeoff Clement, July 2013
“The Big Three”
am an _____
am
an _____
am n_____
We assume a ≠ 0.
Examples
_____5
_____8
8
_____ 2222
43
2
10
234
Examples
x5 x4 x3 x2 x _____
y6
y2 _____
b2 3_____
Related Rules
a0 _____
a–n _____ 1
a–n _____
a–n
b–m _____We assume a ≠ 0 and b ≠ 0.
The Home Stretch
ab n _____
a
b
n
_____
a
b
–n
_____
We assume a ≠ 0 and b ≠ 0.
Examples
5 + 2 0 _____
m–6
y–2 _____
3–1 2–1 _____
Examples
2x2y3z 4 _____
x
2
3
_____
x
2
–3
_____
A mixture of many of the
rules . . .
________106.1105 _____333
_____33
3–3 _____
5
5
54777
9981000
9981000
2–
2
Scientific Notation
We assume 1 ≤ a < 10 and b is an integer.
b10a
1223
05
109 106.02
101.5 101.5
notation. decimal standard Convert to
Scientific Notation
We assume 1 ≤ a < 10 and b is an integer.
b10a
0,000700,000,00 50,0004
08.0000000000 .000230
notation. scientific Convert to
Fascinating Examples
The body of a 150-lb person contains 2.3 x 10–4 lb of copper. What percent of the person’s body weight is composed of copper?
Fascinating Examples
In a recent tax year, the IRS averaged collecting $7,000 per person in the U.S. If the population of taxpayers in that year was 140,000,000, find the total revenue they collected.
Fascinating Examples
1 “light year” is defined as the distance light travels in one Earth year. The speed of light is roughly .
Approximate the number of miles in a light year.
mph106.7 8