College

Simplify: [tex] -128 - (-46) [/tex]

A. [tex] -174 [/tex]

B. [tex] -82 [/tex]

C. [tex] 82 [/tex]

D. [tex] 174 [/tex]

Answer :

To simplify the expression

[tex]$$-128 - (-46),$$[/tex]

follow these steps:

1. Recognize that subtracting a negative number is the same as adding its positive. Thus,

[tex]$$-128 - (-46) = -128 + 46.$$[/tex]

2. Now, combine the numbers. Since one number is negative and the other is positive, subtract the smaller absolute value from the larger absolute value:

[tex]$$128 - 46 = 82.$$[/tex]

3. Because the larger absolute value (128) is associated with the negative sign, the result is negative:

[tex]$$-82.$$[/tex]

Thus, the simplified result is

[tex]$$-82.$$[/tex]