Final answer:
To simplify the expression |–9.23 – 1.79| – |–7.34 – 2.57|, evaluate the absolute values inside the expression and subtract the second absolute value from the first. The correct answer is a) 0.03.
Step-by-step explanation:
To simplify the expression |–9.23 – 1.79| – |–7.34 – 2.57|, we first need to evaluate the absolute values inside the expression. The absolute value of -9.23 - 1.79 is |-10.02|, which is equal to 10.02. The absolute value of -7.34 - 2.57 is |-9.91|, which is equal to 9.91. Now we can simplify the expression by subtracting the second absolute value from the first: 10.02 - 9.91 = 0.11. Therefore, the correct answer is a) 0.03.