Final answer:
To simplify the expression (4+30/10−8)/2.3+7, you have to follow the order of operations, which includes calculating the division inside the parentheses, performing the addition and subtraction, then dividing and finally adding the results. The simplified expression results in 6.5.
Step-by-step explanation:
To simplify the expression (4+30/10−8)/2.3+7, we need to perform each operation step-by-step, following the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Firstly, we can simplify the expression in the parentheses:
- Calculate the division inside the parentheses: 30/10 = 3.
- Add the result to 4 and subtract 8: 4 + 3 - 8 = -1.
After the parenthesis calculation, the expression becomes (-1)/2.3+7. Now, we perform the division, followed by the addition:
- Divide -1 by 2: -1/2 = -0.5.
- Add 7 to the result: -0.5 + 7 = 6.5.
Therefore, the simplified expression results in 6.5. Remember to perform the operations carefully, following the correct order to ensure accuracy.