Page 793 - Basic College Mathematics with Early Integers

INDEX I5

Similar triangles of whole numbers, 28–32, 94, 96 explanation of, 386
explanation of, 671, 683 words and phrases used for, 31, 75, units of capacity in, 410–412, 418, 428
finding ratios of corresponding sides in, 111, 595 units of length in, 386–390, 427
671–672 Subtraction property of 0, 29 units of weight in, 400–402, 418
finding unknown lengths of sides in, Subtrahends
672–673 explanation of, 28 V
Simple interest, 487–488, 497 rounding of, 40–41 Variables
Simplest form, 185–188 Sums evaluating expressions for, 110
Solids estimation of, 40–41 explanation of, 109, 158, 559, 606–607
convex, 660 exact, 41 Vertex
explanation of, 634, 660, 681 explanation of, 16 explanation of, 621, 622, 680
identification of, 634–635 Supplementary angles, 624–625, 680 of polyhedron, 660
table of, 699 Surface area Vertical angles, 625, 681
volume and surface area of, 660–664 explanation of, 660, 682 Volume
Solutions, 570 formulas for, 661, 682 of common solids, 661
Space, 621, 634 method to find, 662–664 explanation of, 660–661, 682
Spheres Surveys, 543 formulas for, 661, 682
explanation of, 635, 699 Symbols. See Notation/symbols method to find, 662–664
volume and surface area formula for,
661, 662–663 T W
Square-based pyramids, 661 Tables, 11. See also Graphs Weight
Square roots Terms explanation of, 400, 428
approximation of, 332, 334, 335 explanation of, 560, 606
on calculators, 335 like, 560–564 mass vs., 403
U.S. units of, 400–402, 428
evaluation of, 86 variable, 560 Weighted mean, 531
explanation of, 86, 98, 331, 342 Time management, 5, 7 Whole numbers
on number line, 332 Tons, 400–402
positive, 331 Total, 16, 53 addition of, 16–21
division of, 60–68, 97, 243–245
problem solving with, 335 Transversal estimation with, 40–42
Pythagorean theorem and, 333–335, 342 explanation of, 626, 681 in expanded form, 10
symbol for, 87 parallel lines cut by, 626
table of, 702 Trapezoids explanation of, 8
Squares area of, 650 finding place value of digit in, 8
multiplication of, 47–54, 97, 243–245
area of, 89, 98, 650 explanation of, 633, 698 on number line, 39
explanation of, 89, 633, 699 isosceles, 698
perimeter of, 641 Tree diagrams, 536–537, 546 reading and writing, 9
review of, 95–98
table of, 702 Triangles
Standard form area of, 564, 650, 651 rounding of, 39–42
in standard form, 8–10
decimals in, 278 congruent, 670–671, 683
whole numbers in, 8–10, 96 equilateral, 632, 698 subtraction of, 28–32, 94
written in words, 9
Straight angles, 623, 624, 680 explanation of, 698 Words/phrases. See also Notation/symbols
Study guide online, 740–741 isosceles, 632, 698 for addition, 19, 75, 111, 595
Study skills perimeter of, 564, 641–642
attitude and, 731–733 right, 333–335, 342, 632, 633, 698 for algebraic expressions, 111, 112
for decimals, 276–278, 340
for exams, 4–5, 732, 733, 738 scalene, 632, 698 for division, 66, 75, 111, 595
homework assignments and, 735–737 similar, 671–673, 683 for equality, 75, 589
learning new terms and, 734 Trinomials. See also Polynomials
MyMathLab resources and, 738 examples of, 705 for exponents, 85
for multiplication, 53, 75, 111, 595
organization skills and, 5, 7, 734, 735, 737 explanation of, 704, 719 for subtraction, 31, 75, 111, 595
practice final exam, 742–744 multiplication of, 719–720 translated into variable expressions, 112
seeking help and, 4, 739
self-assessment of, 733 U for whole numbers, 9, 96
written as algebraic expressions,
textbooks and, 738, 739 Undefined, 62
595–596
Subtraction Unit fractions written as fractions, ratios, 354–356
by borrowing, 29–30, 247 to convert units of capacity, 410, 413
on calculators, 32 to convert units of length, 386–387, 427
of decimals, 290–292, 341 to convert units of mass, 404, 405 Y
explanation of, 28 to convert units of weight, 400, 401 Yards, 386–390
of fractions, 207–214, 222–227, 263 Unit price, 357–358, 425
of integers, 133–135, 159 Unit rates, 357, 425 Z
of mixed numbers, 245–247, 250–251, 264 Unlike fractions Zero
of polynomials, 706–707 addition and subtraction of, 211–213, addition property of, 17
problem solving using, 31–32, 75, 135 222–227, 263 in decimal numbers, 289
relationship between addition and, 28 explanation of, 207 division property of, 62
repeated, 66 Unlike signs, productions of, 142 multiplication property of, 47–48
symbols for, 31 U.S. measurement system. See also multiplying by whole numbers ending
of units of length, 392 Measurement in, 51–52
of units of weight, 402 conversions between metric and, quotient of, 61
using addition to check, 28, 31 418–419, 429 subtraction property of, 29