Algebra Know-It-ALL

(Marvins-Underground-K-12) #1
Index 727

number (Cont.)
prime, 40–45, 48–49, 148–150
rational, 91 124–125, 129–130, 166–168
real, 125–126, 133–140, 167–168
whole, 9
numeral
Arabic, 8–10, 143
binary, 14–17, 143–144
comparison with number, 142
decimal, 11–17, 143–144
definition of, 3,
hexadecimal, 12–13, 16–17, 143–144
Hindu-Arabic, 8–10, 143
octal, 12–13, 143–144
Roman, 6–7, 11–12, 142
toothpick, 4–6
numeration systems, 11–17
numerator
definition of, 84
zero as, 135


O
octal numeral, 12–13, 16–17, 143–144
octillion, definition of, 9
odd number, definition of, 39
omega, as infinity symbol, 10
one-to-many relation, 219
one-to-one
correspondence, 24, 212
mapping, 212
onto mapping, 212
order of magnitude, 95–99, 160, 162–163
ordered
n-tuple, definition of, 293
pair, definition of, 209–210
triple, definition of, 290
ordinal
infinite, 37–38, 148
transfinite, 37–38, 148
origin, in Cartesian plane, 223
overlapping sets, 26, 28–29, 31–32


P
parabola, as graph, 396–412, 510–515
parallelogram, 359


parentheses
grouping with, 56
in simple products, 71
in simple quotients, 71
perfect square, 41, 149, 371–372, 374
pi, 103
plus-or-minus sign, use of, 116
point-slope form, 242–244, 324–325
polynomial
equation, 432–446
second-degree, 363–367
standard form, cubic, 422–430,
515–516
standard form, higher-degree, 438, 519
standard form, quadratic, 364–367,
501–502, 515
positive integer power, 95, 160
power
irrational-number, 139–140
negative, 138
negative integer, 95, 110–112,
163–164
negative reciprocal, 116–117
of power, 493–494
positive integer, 95, 109–112, 160
vs. product, 493–494
rational-number, 120–122, 138
reciprocal-of-integer, 112–117
zeroth, 95, 110–112, 135, 160
powers
multiple, 119–122
rational number, 120–122
precedence, rules of, 71–72, 154
prime
factor, 40–42, 88, 148–150
number, definition of, 40–41, 148
number, largest, 43–45
number, negative, 48–49
product
definition of, 66
exponentials in, 494
vs. power, 483
vs. sum, 482
proper
fraction, 84–86, 158
subset, 24, 146–147
PS form (seepoint-slope form)
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