$\begin{array}{l}-5-2= \\ 4-6=\end{array}$

Question

02-11-2026
Mathematics

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$\begin{array}{l}-5-2= \\ 4-6=\end{array}$

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-02T22:36:37-05:00

For the expression $-5 - 2$, combine the negative values to get $\boxed{-7}$.
For the expression $4 - 6$, subtract the larger value from the smaller value to get $\boxed{-2}$.

Explanation

Analysis and Objective

We are tasked with evaluating two simple arithmetic expressions: $-5 - 2$ and $4 - 6$. These expressions involve basic integer subtraction. The goal is to determine the result for each. For the first expression, we are subtracting a positive number from a negative number, which is equivalent to moving further into the negative values. For the second expression, we are subtracting a larger positive number from a smaller positive number, which results in a negative value.

Calculations and Results

To compute $-5 - 2$, we recognize that this is equivalent to $-(5 + 2)$. Calculating the sum of the magnitudes gives us $5 + 2 = 7$. Applying the negative sign, we obtain $-7$. For the second expression, $4 - 6$, we can rewrite this as $-(6 - 4)$. Calculating the difference of the magnitudes gives us $6 - 4 = 2$. Applying the negative sign, we obtain $-2$. Therefore, the result of $-5 - 2$ is $-7$, and the result of $4 - 6$ is $-2$.

Examples

In everyday situations, keeping track of money is common. For example, if you have a bank balance of $\$4$ and you withdraw $\$6$, you end up with a negative balance of $\$2$, which is a common scenario represented by subtraction of a larger number from a smaller one. Understanding these operations is essential for managing personal finances and basic budgeting.