 A.1.1: Fill in the blanks. A real number is ________ if it can be written ...
 A.1.2: Fill in the blanks. ________ numbers have infinite nonrepeating dec...
 A.1.3: Fill in the blanks. The distance between a point on the real number...
 A.1.4: Fill in the blanks. A number that can be written as the product of ...
 A.1.5: Fill in the blanks. An integer that has exactly two positive factor...
 A.1.6: Fill in the blanks. An algebraic expression is a collection of lett...
 A.1.7: Fill in the blanks. The ________ of an algebraic expression are tho...
 A.1.8: Fill in the blanks. The numerical factor of a variable term is the ...
 A.1.9: Fill in the blanks. The ________ ________ states that if ab _ 0, th...
 A.1.10: In Exercises 710, use a calculator to find the decimal form of the ...
 A.1.11: In Exercises 11 and 12,approximate the numbers and place the correc...
 A.1.12: In Exercises 11 and 12,approximate the numbers and place the correc...
 A.1.13: In Exercises 1318, plot the two real numbers on the real number lin...
 A.1.14: In Exercises 1318, plot the two real numbers on the real number lin...
 A.1.15: In Exercises 1318, plot the two real numbers on the real number lin...
 A.1.16: In Exercises 1318, plot the two real numbers on the real number lin...
 A.1.17: In Exercises 1318, plot the two real numbers on the real number lin...
 A.1.18: In Exercises 1318, plot the two real numbers on the real number lin...
 A.1.19: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.20: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.21: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.22: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.23: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.24: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.25: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.26: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.27: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.28: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.29: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.30: In Exercises 1930, (a) give a verbal description of the subset of r...
 A.1.31: In Exercises 3138, use inequality notation to describe the set. All...
 A.1.32: In Exercises 3138, use inequality notation to describe the set. All...
 A.1.33: In Exercises 3138, use inequality notation to describe the set. is ...
 A.1.34: In Exercises 3138, use inequality notation to describe the set. is ...
 A.1.35: In Exercises 3138, use inequality notation to describe the set. is ...
 A.1.36: In Exercises 3138, use inequality notation to describe the set. is ...
 A.1.37: In Exercises 3138, use inequality notation to describe the set. The...
 A.1.38: In Exercises 3138, use inequality notation to describe the set. The...
 A.1.39: In Exercises 3948, evaluate the expression.
 A.1.40: In Exercises 3948, evaluate the expression.
 A.1.41: In Exercises 3948, evaluate the expression.
 A.1.42: In Exercises 3948, evaluate the expression.
 A.1.43: In Exercises 3948, evaluate the expression.
 A.1.44: In Exercises 3948, evaluate the expression.
 A.1.45: In Exercises 3948, evaluate the expression.
 A.1.46: In Exercises 3948, evaluate the expression.
 A.1.47: In Exercises 3948, evaluate the expression.
 A.1.48: In Exercises 3948, evaluate the expression.
 A.1.49: In Exercises 4954, place the correct symbol (<, >, or =) between th...
 A.1.50: In Exercises 4954, place the correct symbol (<, >, or =) between th...
 A.1.51: In Exercises 4954, place the correct symbol (<, >, or =) between th...
 A.1.52: In Exercises 4954, place the correct symbol (<, >, or =) between th...
 A.1.53: In Exercises 4954, place the correct symbol (<, >, or =) between th...
 A.1.54: In Exercises 4954, place the correct symbol (<, >, or =) between th...
 A.1.55: In Exercises 5560, find the distance between a and b.
 A.1.56: In Exercises 5560, find the distance between a and b.
 A.1.57: In Exercises 5560, find the distance between a and b.
 A.1.58: In Exercises 5560, find the distance between a and b.
 A.1.59: In Exercises 5560, find the distance between a and b.
 A.1.60: In Exercises 5560, find the distance between a and b.
 A.1.61: In Exercises 6164, the accounting department of a sports drink bott...
 A.1.62: In Exercises 6164, the accounting department of a sports drink bott...
 A.1.63: In Exercises 6164, the accounting department of a sports drink bott...
 A.1.64: In Exercises 6164, the accounting department of a sports drink bott...
 A.1.65: Federal Deficit The bar graph shows the federal government receipts...
 A.1.66: Veterans The table shows the number of living veterans (in thousand...
 A.1.67: In Exercises 6772, use absolute value notation to describe the situ...
 A.1.68: In Exercises 6772, use absolute value notation to describe the situ...
 A.1.69: In Exercises 6772, use absolute value notation to describe the situ...
 A.1.70: In Exercises 6772, use absolute value notation to describe the situ...
 A.1.71: In Exercises 6772, use absolute value notation to describe the situ...
 A.1.72: In Exercises 6772, use absolute value notation to describe the situ...
 A.1.73: In Exercises 7378, identify the terms. Then identify the coefficien...
 A.1.74: In Exercises 7378, identify the terms. Then identify the coefficien...
 A.1.75: In Exercises 7378, identify the terms. Then identify the coefficien...
 A.1.76: In Exercises 7378, identify the terms. Then identify the coefficien...
 A.1.77: In Exercises 7378, identify the terms. Then identify the coefficien...
 A.1.78: In Exercises 7378, identify the terms. Then identify the coefficien...
 A.1.79: In Exercises 7984, evaluate the expression for each value of x. (If...
 A.1.80: In Exercises 7984, evaluate the expression for each value of x. (If...
 A.1.81: In Exercises 7984, evaluate the expression for each value of x. (If...
 A.1.82: In Exercises 7984, evaluate the expression for each value of x. (If...
 A.1.83: In Exercises 7984, evaluate the expression for each value of x. (If...
 A.1.84: In Exercises 7984, evaluate the expression for each value of x. (If...
 A.1.85: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.86: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.87: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.88: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.89: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.90: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.91: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.92: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.93: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.94: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.95: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.96: In Exercises 8596, identify the rule(s) of algebra illustrated by t...
 A.1.97: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.98: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.99: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.100: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.101: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.102: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.103: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.104: In Exercises 97104, perform the operation(s). (Write fractional ans...
 A.1.105: (a) Use a calculator to complete the table. (b) Use the result from...
 A.1.106: (a) Use a calculator to complete the table. (b) Use the result from...
 A.1.107: True or False? In Exercises 107 and 108, determine whether the stat...
 A.1.108: True or False? In Exercises 107 and 108, determine whether the stat...
 A.1.109: Exploration Consider and where (a) Are the values of the expression...
 A.1.110: Think About It Is there a difference between saying that a real num...
 A.1.111: Think About It Because every even number is divisible by 2, is it p...
 A.1.112: Writing Describe the differences among the sets of natural numbers,...
 A.1.113: In Exercises 113 and 114, use the real numbers A, B, and C shown on...
 A.1.114: In Exercises 113 and 114, use the real numbers A, B, and C shown on...
 A.1.115: Writing Can it ever be true that for a real number a? Explain.
Solutions for Chapter A.1: Real Numbers and Their Properties
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter A.1: Real Numbers and Their Properties
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 115 problems in chapter A.1: Real Numbers and Their Properties have been answered, more than 20402 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter A.1: Real Numbers and Their Properties includes 115 full stepbystep solutions. Precalculus was written by and is associated to the ISBN: 9780618643448.

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Closed interval
An interval that includes its endpoints

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Cotangent
The function y = cot x

Data
Facts collected for statistical purposes (singular form is datum)

Division
a b = aa 1 b b, b Z 0

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Inverse properties
a + 1a2 = 0, a # 1a

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Rational numbers
Numbers that can be written as a/b, where a and b are integers, and b ? 0.

Rectangular coordinate system
See Cartesian coordinate system.

Root of a number
See Principal nth root.

Standard form of a complex number
a + bi, where a and b are real numbers

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Variable
A letter that represents an unspecified number.