High School

What is [tex]14 - (-112)[/tex]? Write the answer as a mixed number in simplest form.

A. -98
B. -98.5
C. -99
D. -99.5

Answer :

Final Answer:

To find the difference between 14 and -112, the mixed number in simplest form is c) -99.

Explanation:

To find the difference between 14 and -112, we need to subtract -112 from 14. Subtracting a negative number is equivalent to adding its absolute value. So, 14 - (-112) becomes 14 + 112, which equals 126. Since the result is positive, we express it as a mixed number in simplest form. 126 can be expressed as -99 with a remainder of 2. Therefore, the correct answer is -99.

When subtracting a negative number, it is essential to remember that it is equivalent to adding the positive value of that number. By performing the subtraction operation, we find that the result is a positive number. To express it as a mixed number, we determine the quotient and remainder, which in this case is -99 with a remainder of 2. This simplifies the expression and provides the answer in its simplest form. Hence, the correct option is c) -99.