Question

topic: adding integers
progress:
the movement of the progress bar may be uneven because questions can be worth more o
find $(-18)+(-15)+10$.
\\(\circ\\) $-43$
\\(\circ\\) $-23$
\\(\circ\\) $-13$
\\(\circ\\) $7$

Explanation:

Step1: Add the two negative integers

To add \((-18)\) and \((-15)\), we use the rule that adding two negative numbers gives a negative number whose magnitude is the sum of their magnitudes. So, \((-18) + (-15) = -(18 + 15)\).
Calculating \(18 + 15\), we get \(33\). Thus, \((-18) + (-15) = -33\).

Step2: Add the result to 10

Now we add \(-33\) and \(10\). Using the rule for adding a negative and a positive number, we subtract the smaller magnitude from the larger magnitude and take the sign of the number with the larger magnitude. The magnitude of \(-33\) is \(33\) and the magnitude of \(10\) is \(10\). So, \(-33 + 10 = -(33 - 10)\).
Calculating \(33 - 10\), we get \(23\). Thus, \(-33 + 10 = -23\).

Answer:

\(-23\) (corresponding to the option: \(-23\))