Question

evaluate 27 - 45.
-72
72
-18
18

Explanation:

Step1: Recall subtraction of integers

When subtracting a larger positive number from a smaller positive number, we can rewrite the subtraction as addition of the opposite. So, \(27 - 45 = 27+(- 45)\).

Step2: Calculate the sum

To add a positive and a negative number, we subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value. The absolute value of \(27\) is \(27\) and the absolute value of \(-45\) is \(45\). Since \(45>27\), we do \(45 - 27=18\) and take the negative sign (because \(-45\) has the larger absolute value). So, \(27+(-45)=-18\).

Answer:

-18 (corresponding to the option: -18)