Final answer:
After applying the order of operations to the expression 1.2(0.4-0.9) ÷ (-6) × 3.1, we find that the simplified answer is 0.31 in decimal form.
Step-by-step explanation:
The question asks us to simplify the expression 1.2(0.4-0.9) ÷ (-6) × 3.1 and provide the answer in decimal form. To do this, we will follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction).
Step-by-step Solution:
Calculate the expression inside the parentheses: 0.4 - 0.9 = -0.5.
Multiply 1.2 by the result of step 1: 1.2 × -0.5 = -0.6.
Divide the result of step 2 by -6: -0.6 ÷ (-6) = 0.1.
Multiply the result by 3.1: 0.1 × 3.1 = 0.31.
Therefore, the given expression simplifies to 0.31 in decimal form.