1. **State the problem:** We need to order the expressions $2 - (-10)$, $-2 - 5$, $2 + (-10)$, and $-2 + 5$ from least to greatest. 2. **Recall rules for addition and subtraction of integers:** - Subtracting a negative number is the same as adding its positive counterpart: $a - (-b) = a + b$. - Adding a negative number is the same as subtracting its positive counterpart: $a + (-b) = a - b$. 3. **Evaluate each expression:** - $2 - (-10) = 2 + 10 = 12$ - $-2 - 5 = -2 - 5 = -7$ - $2 + (-10) = 2 - 10 = -8$ - $-2 + 5 = 3$ 4. **Order the results from least to greatest:** - The values are $12$, $-7$, $-8$, and $3$. - From least to greatest: $-8$, $-7$, $3$, $12$. 5. **Match back to original expressions:** - $2 + (-10) = -8$ - $-2 - 5 = -7$ - $-2 + 5 = 3$ - $2 - (-10) = 12$ **Final answer:** $$2 + (-10) < -2 - 5 < -2 + 5 < 2 - (-10)$$