Final answer:
The expression after applying the distributive property to -0.4 (-2 + (-9)) is 4.4.
Step-by-step explanation:
The question asks to apply the distributive property to the expression -0.4 (-2 + (-9)). The distributive property tells us that we can distribute the multiplication of -0.4 across the addition inside the brackets.
Step-by-step, the expression becomes:
- Multiply -0.4 by -2, which gives us +0.8 (since multiplying two negative numbers results in a positive number).
- Multiply -0.4 by -9, which gives us +3.6 (again, multiplying two negative numbers).
After applying the distributive property, the complete expression is:
0.8 + 3.6 = 4.4