Final answer:
To simplify the expression 6.5(-3+(-2(1)/(4)))+3(2.1), we perform operations inside the parentheses, multiply, and then add, resulting in -16.45, which is already rounded to the nearest thousandth.
Step-by-step explanation:
To simplify the expression 6.5(-3+(-2(1)/(4)))+3(2.1), we need to follow the order of operations, which are parentheses first, then multiplication and addition. So let's break it down step by step:
- Inside the parentheses, calculate -2(1)/(4) to get -0.5.
- The expression inside the outer parentheses becomes -3 + (-0.5), which simplifies to -3.5.
- Multiply 6.5 by -3.5 to get -22.75.
- Next, multiply 3 by 2.1 to get 6.3.
- Add -22.75 and 6.3 together to get the final answer.
Thus, the simplified expression is -22.75 + 6.3 = -16.45. When we round this to the nearest thousandth, there is no change since the number is already in that format. Therefore, the final answer is -16.45.