Page 790 - Basic College Mathematics with Early Integers

I2 INDEX

Decimals (continued) solutions to, 570, 590, 605 improper, 172–173, 175, 237, 261
written as fractions, 278–279 to solve percent problems, 451–455, 496 like, 207–210, 263
written as percent, 442, 444 Equilateral triangles, 632, 698 mixed numbers containing, 173, 261
written in words, 276–278, 340 Equivalent fractions multiplication of, 196–197, 200–201,
Deductive reasoning, 724–726 determining if fractions are, 188–189 243–245, 262
Degrees, of angles, 623, 624 explanation of, 185, 262, 263 negative, 249–251
Denominators. See also Least common method to write, 185, 213–214 on number line, 174–175, 207
denominator (LCD) Estimation. See also Rounding order of operations with, 235–236
adding and subtracting fractions with like, on calculators, 315 problem solving using, 189–190, 200–201,
207–210 with decimals, 291–292, 302, 313 209–210, 226–227, 326–327
adding and subtracting fractions with with mixed numbers and whole numbers, proper, 172, 261
unlike, 211–214 244–246 rates written as, 356–357
common, 207–210 problem solving using, 41–42 ratios written as, 354–356
explanation of, 170 with whole numbers, 40–41 reciprocal of, 198, 263
Diameter Evaluating the expression, 85–86, 110, as replacement values, 200, 209, 225
of circle, 633 127–128, 158. See also Algebraic simplest form of, 185–188
of sphere, 635 expressions simplifying expressions with, 325–326
Difference Event, probability of, 537–538, 546 subtraction of, 207–214, 222–227, 263
estimation of, 40–41 Exact sum, 41 table of, 700
explanation of, 28 Exams, 4–5. See also Study skills unit, 386–387, 400, 401, 404, 405, 410,
Digits, 8 Expanded form, 10 413, 427
Discount problems, 482–483, 497 Experiments, 536, 546 unlike, 211–213, 222–227, 263
Distributive property, 49, 234, 561, 563, Exponential expressions writing percent as, 441, 444
588, 589, 719 base of, 197 writing rates as, 356
Dividend, 60, 62 explanation of, 85–86 writing ratios as, 356–357
Divisibility tests, 183–184 multiplication of, 712–715 written as decimals, 322–324, 342
Division Exponential notation, 85 written as percent, 442–444
on calculators, 68 Exponents written to represent parts of figures or
of decimals, 310–314, 342 on calculators, 90 real-life data, 170–172
explanation of, 60 explanation of, 85, 98, 712 Frequency distribution tables, 512
of fractions, 198–200, 243–245, 262 multiplication properties of, 712–715
of integers, 144–145, 159 power of product property for, 714–715 G
long, 62–65 power property for, 713–714 Gallons, 410–412
of mixed numbers, 243–245, 264 product property for, 712–713 Geometric figures. See also Plane figures;
multiplication to check, 63–65 simplifying expressions with, 150 Solids; specific figures
problem solving using, 66–67, 75 Expressions. See Algebraic expressions area of, 650–653, 682
remainders in, 64 basic concepts of, 621
symbols for, 66, 75 F congruent and similar triangles as,
of units of weight, 402 Face, of polyhedron, 660 670–673, 683
of whole numbers, 60–68, 97 Factorization, prime, 182–186, 196, 212–213, 262 lines and angles of, 621–626, 679–681
words and phrases used for, 66, 75, Factors perimeter of, 640–644, 682
111, 595 common, 185–186 table of, 698–699
Division property explanation of, 47, 182 volume and surface area of, 660–664, 682
of 0, 62, 175 Factor trees, 183 Grade point average (GPA), 531, 532
of 1, 61–62, 175 Feet, 386–390 Grams, 403–405, 428
Divisor, 60 FOIL method, to multiply binomials, 718–719 Graphing calculators, 190, 227. See also
Formulas Calculators
E area, 650, 652, 653, 682 Graphs
Edge, of polyhedron, 660 circumference, 282, 643–644 bar, 20–21, 508–511, 544
English measurement system. compound interest, 489 cautions when reading, 510–511
See U.S. measurement system perimeter, 640 circle, 355, 521–524, 545
Equality surface area, 661, 682 of fractions, 174–175, 243
addition property of, 571–573, 577, 607 volume, 661, 682 histographs, 511–513, 545
of fractions, 189 Fraction bar line, 513–514, 544
multiplication property of, 577–580, 607 on calculators, 252 pictographs, 507–508, 544
symbol for, 75 explanation of, 60, 87, 88, 170 of whole numbers on number line, 39
words and phrases used for, 75, 589, 595 simplifying expressions with, 150, 151, Grouping, 18, 562
Equations 153, 233 Grouping symbols, 87, 88, 150, 159, 233,
addition property of equality to solve, Fractions. See also Ratios 588–590. See also specific symbols
571–573, 586–588, 607 addition of, 207–214, 222–227, 263
on calculator, 590 as base of exponential expressions, 197 H
containing parentheses, 588–589 on calculators, 190, 227, 252 Histograms, 511–513, 545
explanation of, 570 comparing decimals and, 324–325 Hypotenuse, 333–335, 632
expressions vs., 570 complex, 233–235, 264
multiplication property of equality to decimals written as, 278–279 I
solve, 577–580, 586–588, 607 division of, 198–200, 243–245, 262 Improper fractions Copyright 2012 Pearson Education, Inc.
percent, 452–455 equivalent, 185, 188–189, 213–214, 262, 263 explanation of, 172–173, 261
problem-solving steps for, 597–599, examples of, 170 mixed numbers or whole numbers as, 175,
607–608 explanation of, 170, 261 237–238, 264
review of, 607–608 fundamental property of, 234 Inches, 386–389
sentences written as, 589, 596 graphs of, 174–175, 243 Inductive reasoning, 723–724