Final answer:
To expand the expression 2.8(4f - 10g + 7), multiply each term inside the parentheses by 2.8 to get 11.2f - 28g + 19.6.
Step-by-step explanation:
The student has asked to expand the expression 2.8(4f - 10g + 7). To do this, we will apply the distributive property, which involves multiplying the number outside the parenthesis by each term inside the parenthesis. Here is the step-by-step expansion:
Multiply 2.8 by 4f, which gives us 11.2f.
Multiply 2.8 by -10g, which gives us -28g.
Multiply 2.8 by 7, which gives us 19.6.
So, the fully expanded expression is 11.2f - 28g + 19.6.
When doing algebraic operations like this, it's important to check your understanding by ensuring that you've applied the distributive property correctly and that all arithmetic is correct. This also includes recognizing patterns and simplifying where possible to get the most straightforward expression.