Page 792 - Basic College Mathematics with Early Integers

I4 INDEX

Order of operations Polyhedrons, 660 Protractors, 523–524
examples of, 87–89 Polynomials Pyramids, 634, 661
explanation of, 87, 98, 159 addition of, 704–706 Pythagorean theorem, 333–335, 342
for expressions containing decimals, applications of, 708
325–326, 342 evaluation of, 707 Q
for expressions containing fractions, explanation of, 704 Quadrilaterals, 633, 698
235–236 multiplication of, 717–720 Quarts, 410–412
Ounces, 400–402 opposite of, 706 Quotients, 60, 64
Outcomes, 536, 546 subtraction of, 706–707
types of, 704 R
P Positive numbers. See also Signed numbers Radical sign, 331
Parallel lines, 625, 626 explanation of, 116 Radius
Parallelograms on number line, 116, 117, 125 of circle, 31, 304, 633, 634
area of, 650, 651 Pounds, 400–402 of sphere, 635
explanation of, 633, 698 Power of product property for exponents, Rates
Parentheses (( )) 714–715 explanation of, 356, 425
on calculators, 153 Power property for exponents, 713–714 unit, 357–358, 425
explanation of, 87, 88 Powers of 10 written as fractions, 356–357
with signed numbers, 143, 144 dividing decimals by, 313 Ratios. See also Fractions; Proportions
simplifying expressions with, 150 multiplying decimals by, 302–304 of corresponding sides in similar
solving equations containing, 588–589 Prime factorization triangles, 671–672
Partial products, 50 explanation of, 182–183, 262 explanation of, 354, 425
Percent to find common factors, 186 written as fractions, 354–356
applications with, 469–472, 496 finding least common multiple using, Rays, 621, 680
of decrease, 473, 496 212–213, 263 Reasoning
explanation of, 439, 495 methods to find, 183–185, 196 deductive, 724–726
of increase, 472–473, 496 Prime numbers inductive, 723–724
problem solving with, 451–455, 459–463, explanation of, 182, 262 Reciprocal, of fractions, 198, 262
480–483, 496–497 writing number as product of, 182–185 Rectangles
review of, 495–496 Principal amount, 487 area of, 52–53, 89, 97, 650, 652
solving percent proportions for, 463 Probability explanation of, 633, 699
tables of, 700, 701 of event, 537–538, 546 perimeter of, 640–641
uses for, 439 explanation of, 536 Rectangular solids
writing decimals or fractions as, tree diagrams and, 536–537 explanation of, 634, 699
442–444 Problem solving. See also Applications volume and surface area formula for,661,662
written as decimals or fractions, index; Notation/symbols; Regular polygons, 631
440–441, 444 Words/phrases Remainders, 64, 238
Percent equations, 452–455 with addition, 19–20, 75, 128 Repeated addition, 47
Percent problems with decimals, 292–294, 305, 314, Repeated subtraction, 66
equations to solve, 451–455, 496 326–327 Replacement values
proportions to solve, 459–463, 496 with division, 66–67, 75 decimal, 292, 304, 314, 327
Percent symbol, 440 with estimation, 41–42 fractional, 200, 209, 225
Perimeter with fractions, 189–190, 200–201, 209–210, polynomial, 707
explanation of, 89, 682 226–227, 326–327 Rhombus, 698, 733
formulas for, 640 with mixed numbers, 248–249 Right angles, 623, 624, 680
methods to find, 564 with more than one operation, 78–79 Right circular cones, 699
of polygons, 18–19, 96, 642–643 with multiplication, 53–54, 75, 145 Right circular cylinders, 699
of rectangles, 640–641 with percent, 451–455, 459–463, 480–483 Right triangles
of squares, 641 with proportions, 374–377, 426–427, explanation of, 333, 633, 698
of triangles, 564, 641–642 459–463 finding unknown length of, 333, 342
Period, 8, 9 with square roots, 335 hypotenuse of, 333
Perpendicular lines, 625 steps in, 75–78, 98, 597–599, 607–608 Pythagorean Theorem and, 333–335
Phrases. See Words/phrases with subtraction, 31–32, 75, 135 Rounding. See also Estimation
Pi, 282, 304 Product property for exponents, 712–713 of decimals, 281–283, 341
Pictographs, 507–508, 544 Products. See also Multiplication of mixed numbers, 244
Place value cross, 188–189 of whole numbers, 39–42, 96
for decimals, 276, 281, 340, 341 explanation of, 47
explanation of, 8, 95 of like signs, 142 S
rounding whole numbers to, 39–40 partial, 50 Sales tax problems, 480–481, 496
Plane, 621 of unlike signs, 142 Scalene triangles, 632, 698
Plane figures. See also specific figures Proper fractions, 172, 261 Scientific calculators, 190, 227. See also
explanation of, 631, 681 Proportions. See also Ratios Calculators
identification of, 631–634 explanation of, 365, 426 Sentences, written as equations, 589, 596
table of, 698–699 finding unknown numbers in, Side-angle-side (SAS) triangles, 670
Point, 621 367–369, 426 Sides, of angle, 621
Polygons percent, 459–463 Side-side-side (SSS) triangles, 670 Copyright 2012 Pearson Education, Inc.
explanation of, 18, 631, 698 problem solving with, 374–377, 426–427, Signed numbers. See also Integers
methods to name, 631 459–463 explanation of, 116, 158
perimeter of, 18–19, 96, 642–643 to solve percent problems, 459–463, 496 on number line, 116, 117, 125
regular, 631 as true or false, 365–367, 426 order of operations for, 159