# Basic Algebra:Adding and Subtracting Real Numbers

Please see the attached file for the fully formatted problems.

9.1 Place each of the following sets in ascending order.

16) = When a set of numbers is written from smallest to largest, the numbers are said to be in ascending order.

Evaluate. Absolute value bars serve as another set of grouping symbols, so do the operation inside first.

32. = 4 + 3 = 7 44. = 9 - 4 = 5 This is the negative, or opposite, of the absolute value of negative 5

9.2 Adding Real Numbers

9.2 OBJECTIVES

1. Add two numbers with the same sign

2. Add two numbers with opposite signs

9.2 Exercises

Add.

40. ?

In adding a positive number and a negative number sometimes the sum is positive and sometimes it is negative. This depends on which of the numbers has the larger absolute value. This leads us to the second part of our addition rule. If two numbers have different signs, subtract their absolute values, the smaller from the larger. Give the result the sign of the number with the larger absolute value.

48.

58. Evaluate each of the following expressions.

58.

9.2 Label each of the statement as true or false

66.

8 + 3 = 11 5 The statement is false.

72. Business and finance. Jean deposited a check for $625, wrote two for $68.74 and $29.95 and used her debit card to pay for a purchase of $57.65. How has her account balance changed?

$625 + ( -$68.74) + (-$29.95) + ($57.65) = $468.66

625.00

68.74

29.95

_57.65___

468.66

9.3 Subtracting Real Numbers

1. Find the difference of two real numbers

44. =

48. - 3.4 - (-7.6) = 3.4 + 7.6 = 4.2

54. Statistics. The lowest temperature ever recorded in the state of Oregon was 54Â°F (in Seneca, on February 10, 1933). The state's record high temperature occurred in Pendleton on August 10, 1898, when it reached 119Â°F. What is the historical temperature range in the state of Oregon? 173 is the historical range

119 + (- 54) = 119 + (+ 54) = 119 + 54 = 173

119

+ 54

173

9.4

70. (- 3) (- 6) + (4) (- 2) = 18 + (- 8) = 10

80. (- 3) - (- 8)(- 2) =

82. (- 6)Â² - 4Â² =

88. - 9Â²- (- 6)Â² =

=

9.5

32) (-9) (5) = - 45 = 15

-3 -3

58. 16*(-2). (- 4) = 32

2 + 4 12

60. 4 - (3) + 1 = 4 + 3 + 1 = 8

2 - 2 * (-2) 2 + 1 3

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#### Solution Summary

This solution explains the basic points in the addition and subtraction of Real numners and Fractions.