To solve the problem of adding the two numbers [tex]$26$[/tex] and [tex]$-32$[/tex], follow these steps:
1. Identify the Numbers: The numbers given are [tex]$26$[/tex] (a positive integer) and [tex]$-32$[/tex] (a negative integer).
2. Set Up the Addition: When adding a positive number to a negative number, it is essentially the same as subtracting the absolute value of the negative number from the positive number. Hence, the operation becomes:
[tex]\[
26 + (-32)
\][/tex]
3. Perform the Subtraction: Subtract the absolute value of [tex]$-32$[/tex] from [tex]$26$[/tex]. The absolute value of [tex]$-32$[/tex] is [tex]$32$[/tex]. So, the calculation turns into:
[tex]\[
26 - 32
\][/tex]
4. Calculate the Result: To subtract [tex]$32$[/tex] from [tex]$26$[/tex], recognize that [tex]$32$[/tex] is larger than [tex]$26$[/tex] by [tex]$6$[/tex].
[tex]\[
26 - 32 = -6
\][/tex]
Hence, the result of adding [tex]$26$[/tex] and [tex]$-32$[/tex] is [tex]$-6$[/tex].
