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Add: [tex]$26 + (-32)$[/tex]

A. [tex]58[/tex]
B. [tex]-6[/tex]
C. [tex]6[/tex]
D. [tex]-58[/tex]

Submit
Pass
Hold


Sagot :

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].