Question

What is the quotient of 5 + (-10)?
A) -2
B) N
C) 2
D) NA

Answer 1

A) -2. The quotient of 5 + (-10) is -2. This result is obtained by adding 5 and -10, yielding -5, and then dividing by 2. The negative sign is retained due to the initial sum being negative.

Explanation:

The quotient of 5 + (-10) is -2. In this context, "quotient" refers to the result of division. When you add 5 and -10, you get -5. So, the quotient of this sum when divided by 2 is -2.

To elaborate, the calculation involves the addition of 5 and -10, resulting in -5. When you divide -5 by 2, the quotient is -2. The negative sign is retained because the sum of 5 and -10 is negative, and dividing a negative number by a positive number results in a negative quotient.

In mathematical terms, the process can be expressed as follows:

`\[ (5 + (-10))/(2) = (-5)/(2) = -2 \]`

This computation involves the basic principles of arithmetic, where the addition of positive and negative numbers leads to a sum with the sign determined by the larger absolute value. The subsequent division by 2 yields the final quotient of -2.