Algebra Know-It-ALL

A

absolute

maximum, 399–402, 404–407, 409,

510–515

minimum, 398, 400–403, 407–408,

410–411, 510–515

absolute value

definition of, 51–52

of complex number, 358–359

of imaginary number, 352–353

of integer, 150

orders of magnitude and, 98

addend, definition of, 57

addition

as displacement, 52–53

associative law for, 59–63, 134, 151–153

commutative law for, 57–59, 134, 151–152

method of solving linear system, 255–258,

267–270, 329–330

of complex numbers, 357, 359–361

of exponents, 117–119

of fractions, 91–93, 158

of imaginary numbers, 353–354

signs in, 56

additive

identity element, 55, 133

inverse, 62, 133

aleph, as infinity symbol, 10, 129, 169

aleph-null, 129, 169

antecedent, definition of, 178

antilogarithm, 488

Arabic numeral, 8–10

arithmetic mean, 124

Arithmetic, Fundamental Theorem of, 45

associative law

for addition, 59–63, 134, 151–153

for multiplication, 75–78, 134, 155–157

average, 124

axis increments, 225–226

B

base

in numeration system, 11–17, 95, 143

of exponential, 487

of logarithm, 479–480

base-10

antilogarithm, 488

exponential, 487–488, 541–543

logarithm, 480, 538–540

base-e

antilogarithm, 488

exponential, 488, 541–543

logarithm, 480–481, 540–541

billion

definition of, 9

English, 143

U.S., 143

721

Index

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