Final answer:
The expression that equals 24 using the integers -10, 8, 6, and -5 is (-10) + (-5) * ((-6) / (-6)) + 8. It involves use of multiplication and division prior to addition, in line with the order of operations.
Step-by-step explanation:
The question asks to write an expression using the given integers -10, 8, 6, and -5 that equals 24, with the application of order of operations. By analyzing these numbers, we can form an expression by starting with 8, which is a factor of 24, and then strategically using the other numbers with addition, subtraction, multiplication, or division to reach the total. One such expression is:
24 = (-10) + (-5) * ((-6) / (-6)) + 8
Here is the step-by-step explanation:
- Start with the number 8, which is a direct factor of 24.
- Next, we add -10 to it, which gives us -2.
- Then, we take -5 and multiply it by (-6) divided by (-6), which is the same as multiplying -5 by 1, giving us -5.
- After adding -5 to -2, we get -7.
- Finally, if we add 8 to -7, we obtain our desired result of 24.
This not only ensures the use of all given integers but also follows the order of operations, which dictates that we perform multiplication and division before addition and subtraction.