use the order of operations to simplify 8 + 7 .6 - 3 .4 + 6 .7.
To simplify the expression using the order of operations, we need to follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
8 + 7 * 0.6 - 3 * 0.4 + 6 * 0.7
First, we perform the multiplication and division from left to right:
8 + 4.2 - 1.2 + 4.2
Next, we perform the addition and subtraction from left to right:
12.4 - 1.2 + 4.2
Finally, we perform the remaining addition and subtraction:
12.4 + 3.0
The simplified expression is 15.4.