Page 791 - Basic College Mathematics with Early Integers

INDEX I3

Inequality symbols, 117 Mathematics class. See also Study skills of mixed numbers, 243–245, 264
Integers. See also Signed numbers attitude and, 731–733 with numbers ending in zero, 51–52
addition of, 125–128, 134, 159 getting help in, 4, 739 of polynomials, 717–720
division of, 144–145, 159 getting ready for, 2 problem solving using, 53–54, 75, 145
explanation of, 116, 158 organizational skills for, 5, 7, 734, 735, 737 properties of, 562
graphs of, 117, 120 preparing for and taking exams for, 4–5, rules for, 150
multiplication of, 142–144, 159 732, 733, 738 symbols for, 47, 53
opposite of, 118–119, 133 textbooks and, 738, 739 of units of capacity, 414
subtraction of, 133–135, 159 tips for success in, 2–3 of units of length, 393
use of number line to compare, 117 using text for, 3–4 of whole numbers, 47–54, 97
Interest Mean words and phrases used for, 53, 75, 111, 595
on calculator, 491 explanation of, 531, 546 Multiplication properties
compound, 488–490, 497, 703 method to find, 531–532 of 0, 47–48
explanation of, 487, 497 weighted, 531 of 1, 48
simple, 487–488, 497 Measurement. See also Metric system; of equality, 577–580, 586–588, 607
Interest rate, 487 U.S. measurement system of exponents, 712–715
Intersecting lines, 625 of angles, 625–626, 632 Multiplication sign, 47
Inverse, additive, 133 of capacity, 410–414, 428 Multiplication table, 696
Irrational numbers, 282 converting between U.S. and metric
“Is greater than,” 117 systems of, 418–419, 429 N
“Is less than,” 117 of length, 386–393 Natural numbers, 8
Isosceles trapezoids, 698 of mass, 403–405, 428 Negative numbers. See also Signed numbers
Isosceles triangles, 632, 698 of weight, 400–402, 428 on calculators, 128
Measures of central tendency, 531. See also explanation of, 116
K Mean; Median; Mode on number line, 116, 117, 125
Kilograms, 403–405 Median Nobel,Alfred, 1
Kilometers, 390, 391 explanation of, 532, 546 Nobel Prize, 1, 11
method to find, 532–533 Notation/symbols. See also Words/phrases
L Meters, 390–393 addition, 19, 75
Least common denominator (LCD) Metric Act of 1866, 418 division, 66, 75
addition and subtractions of fractions Metric system. See also Measurement equality, 75
and, 222–224 converting between U.S. and, 418–419, 429 exponential, 85
explanation of, 211, 222, 263 origin of, 418 fraction bar, 60, 87, 88, 170, 233, 252
methods to find, 211–213, 263 units of capacity in, 412–414, 418, 428 grouping, 87, 88, 150, 159, 233, 588–590
to order or compare fractions, 225 units of length in, 390–393, 427 inequality, 117
using prime factorization to find, units of mass in, 403–405 multiplication, 47, 53, 75
212–213, 263 Miles, 386 percent, 440
Least common multiple (LCM) Milligrams, 403–405 pi, 282, 304
explanation of, 211 Milliliters, 412–414 radical, 331
using prime factorization to find, Millimeters, 390–392 signed number, 116
212–213 Minuends subtraction, 31, 75
Legs, of triangles, 333–335, 632 explanation of, 28 variable, 109
Length rounding of, 40–41 Number lines
explanation of, 386 Mixed numbers decimals on, 280, 281
metric units of, 390–393, 418–419, 427 addition and subtraction of, 245–247, 264 explanation of, 10
U.S. units of, 386–390, 418–419, 427 division of, 243–245, 264 fractions on, 174–175, 207
Like fractions estimation with, 244–246 opposites on, 118–119
addition and subtraction of, 207–210, 263 explanation of, 173, 261 signed numbers on, 116, 117, 125
explanation of, 207, 263 graphs of, 243 square roots on, 332
Like signs, products of, 142 as improper fractions, 175, 237–238, 264 whole numbers on, 39
Like terms multiplication of, 243–245, 264 Numbers. See also Integers; Mixed numbers;
explanation of, 560, 606 negative, 249–251 Signed numbers;Whole numbers
method to combine, 560–563 problem solving with, 248–249 composite, 182, 262
Line graphs, 513–514, 544 rounding of, 244 irrational, 282
Lines Mode, 533, 546 natural, 8
explanation of, 621, 679 Monomials. See also Polynomials negative, 116, 117, 125, 128
intersecting, 625 examples of, 705 positive, 116, 117, 125
parallel, 625, 626 explanation of, 704, 717 prime, 182, 262
perpendicular, 625 multiplying polynomials and, 717 prime factorization of, 182–185
Line segments, 621, 680 Multiples, least common, 211 Numerators, 170
Liters, 412–414, 428 Multiplication. See also Products Numerical coefficients, 560, 606
Long division associative property of, 48–49, 143, 562
examples of, 62–65 on calculators, 54 O
explanation of, 62, 97 to check division, 63–65 Obtuse angles, 623, 624, 680
Lowest terms, of fractions, 185 commutative property of, 48, 143 One
of decimals, 301–304, 341 division property of, 61–62
M distributive property of, 49, 234, 561, 563, multiplication property of, 48
Magic squares, 157 588, 589, 719 Opposites
Mass explanation of, 47 explanation of, 118–119, 158
explanation of, 403, 428 of fractions, 196–197, 200–201, 262 to subtract integers, 133–135
metric system units of, 403–405, 428 of integers, 142–144, 159 Order, in subtraction, 31