Problem 102 Write a numerical expression for... [FREE SOLUTION] (2024)

Short Answer

quotient

In mathematics, a quotient is the result you get when one number is divided by another. Here, we are asked to find the quotient of \[ -20 \] and the sum of \[ -8 \] and \[ -2 \]. This essentially means dividing \[ -20 \] by the result of the addition. Understanding the idea of a quotient is crucial because it tells us how many times one number can be contained within another. Thus, in our problem, we first need to perform the addition, and then divide.

sum

The sum in math refers to the result of adding two or more numbers together. In this specific exercise, we need to find the sum of \[ -8 \] and \[ -2 \]. Adding negative numbers is a fundamental skill: \[ -8 + (-2) = -10 \]. Summing negatives simply means we are moving further into the negative on the number line. Hence, the sum of \[ -8 \] and \[ -2 \] is \[ -10 \].

simplification

Simplification means to make an expression easier to work with by performing all possible calculations. In this exercise, we first simplify the inner expression, the sum of \[ -8 \] and \[ -2 \], which is \[ -10 \]. Then, we move to the outer calculation, where we find the quotient of \[ -20 \] divided by \[ -10 \]. By performing the division: \[ \frac{-20}{-10} = 2 \]. The expression simplifies to \[ 2 \].

negative numbers

Negative numbers are numbers less than zero and are usually represented with a minus sign. When dealing with operations involving negative numbers, it is essential to remember a few key rules. For addition, adding two negative numbers results in a larger negative number: \[ -8 + (-2) = -10 \]. For division, when both the dividend and divisor are negative, the result is positive: \[ \frac{-20}{-10} = 2 \]. Understanding how to handle negative numbers correctly is critical for solving numerical expressions effectively.