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, Chapter 1: Review of Real Numbers ISM: Beginning Algebra
8. The distance between a number b and 0 on a 28. Negative seven is not equal to seven is written as
number line is |b|. −7 ≠ 7.
9. To form a true statement: 0 < 7. 30. The integer 535 represents 535 feet above sea
level. The integer −8 represents 8 feet below sea
ST
10. Five is greater than or equal to four; 5 ≥ 4 level.
11. 0 belongs to the whole numbers, the integers, the 32. The integer −11,496 represents 11,496 fewer
rational numbers, and the real numbers; since 0 students.
is a rational number, it cannot also be an
irrational number.
UV
34. 30 represents an ascent of feet. −50 represents a
descent of 50 feet.
12. The absolute value of a real number a, denoted
by |a|, is the distance between a and 0 on a 1
number line. 36. The number belongs to the sets of: rational
4
Exercise Set 1.2 numbers and real numbers.
IA
2. 9 < 15 since 9 is to the left of 15 on a number 1
38. The number − belongs to the sets of: rational
line. 2
numbers and real numbers.
4. 2.13 > 1.13 since 2.13 is to the right of 1.13 on a
number line. 40. The number 5 belongs to the sets of: natural
_A
numbers, whole numbers, integers, rational
6. 20 > 0 since 20 is to the right of 0 on a number numbers, and real numbers.
line.
42. The number 3 belongs to the sets of: irrational
8. −4 > −6 since −4 is to the right of −6 on a numbers and real numbers.
number line.
PP
5
10. 0 < 100 since 0 is to the left of 100 on a number 44. The number −1 belongs to the sets of: rational
line. 9
numbers and real numbers.
12. 360 ≥ 180 since 360 is to the right of 180 on a
number line. 46. False; negative numbers may be irrational.
RO
14. 4 ≥ 7 is false, since 4 is to the left of 7 on a 48. True
number line.
50. False; irrational numbers are real.
16. 17 > 16 is true, since 17 is to the right of 16 on a
number line. 1
52. False; is not an integer.
2
VE
18. 8 ⋅ 8 ≤ 8 ⋅ 7 is false, since 56 is to the left of 64
on a number line. 54. False; 0 is a whole number that is not positive.
20. 4 < 7 is true, since 4 is to the left of 7 on a 56. −200 < −20 since −200 is to the left of −20 on a
number line. number line.
22. 0 < −15 is false, since 0 is to the right of −15 on 58. 7.1 > −7 since 7.1 is to the right of −7 on a
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a number line. number line.
24. Fifteen is greater than five is written as 15 > 5. 18 24
60. < since 6 < 8.
3 3
26. Negative ten is less than or equal to thirty-seven
is written as −10 ≤ 37. 62. |−20| > −200 since 20 > 200.
2 Copyright © 2023 Pearson Education, Inc.
VE
RO
PP
_A
IA
UV
ST
, D?
VE
RO
PP
_A
IA
UV
ST
, D?
VE
RO
PP
_A
IA
UV
ST
, Chapter 1: Review of Real Numbers ISM: Beginning Algebra
8. The distance between a number b and 0 on a 28. Negative seven is not equal to seven is written as
number line is |b|. −7 ≠ 7.
9. To form a true statement: 0 < 7. 30. The integer 535 represents 535 feet above sea
level. The integer −8 represents 8 feet below sea
ST
10. Five is greater than or equal to four; 5 ≥ 4 level.
11. 0 belongs to the whole numbers, the integers, the 32. The integer −11,496 represents 11,496 fewer
rational numbers, and the real numbers; since 0 students.
is a rational number, it cannot also be an
irrational number.
UV
34. 30 represents an ascent of feet. −50 represents a
descent of 50 feet.
12. The absolute value of a real number a, denoted
by |a|, is the distance between a and 0 on a 1
number line. 36. The number belongs to the sets of: rational
4
Exercise Set 1.2 numbers and real numbers.
IA
2. 9 < 15 since 9 is to the left of 15 on a number 1
38. The number − belongs to the sets of: rational
line. 2
numbers and real numbers.
4. 2.13 > 1.13 since 2.13 is to the right of 1.13 on a
number line. 40. The number 5 belongs to the sets of: natural
_A
numbers, whole numbers, integers, rational
6. 20 > 0 since 20 is to the right of 0 on a number numbers, and real numbers.
line.
42. The number 3 belongs to the sets of: irrational
8. −4 > −6 since −4 is to the right of −6 on a numbers and real numbers.
number line.
PP
5
10. 0 < 100 since 0 is to the left of 100 on a number 44. The number −1 belongs to the sets of: rational
line. 9
numbers and real numbers.
12. 360 ≥ 180 since 360 is to the right of 180 on a
number line. 46. False; negative numbers may be irrational.
RO
14. 4 ≥ 7 is false, since 4 is to the left of 7 on a 48. True
number line.
50. False; irrational numbers are real.
16. 17 > 16 is true, since 17 is to the right of 16 on a
number line. 1
52. False; is not an integer.
2
VE
18. 8 ⋅ 8 ≤ 8 ⋅ 7 is false, since 56 is to the left of 64
on a number line. 54. False; 0 is a whole number that is not positive.
20. 4 < 7 is true, since 4 is to the left of 7 on a 56. −200 < −20 since −200 is to the left of −20 on a
number line. number line.
22. 0 < −15 is false, since 0 is to the right of −15 on 58. 7.1 > −7 since 7.1 is to the right of −7 on a
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a number line. number line.
24. Fifteen is greater than five is written as 15 > 5. 18 24
60. < since 6 < 8.
3 3
26. Negative ten is less than or equal to thirty-seven
is written as −10 ≤ 37. 62. |−20| > −200 since 20 > 200.
2 Copyright © 2023 Pearson Education, Inc.
