Final answer:
To simplify the given expressions, we follow the order of operations, including parentheticals, multiplication, division, addition, and subtraction. Each expression is resolved step-by-step to reach the simplified result.
Step-by-step explanation:
To simplify each expression, we follow specific arithmetic rules. First, we perform operations within the parentheses, then multiplication and division from left to right, and finally, addition and subtraction from left to right. Let's go through each one step-by-step.
- For the expression 3(10 - 2) + 4.7, we first calculate the parenthesis:
3(8) + 4.7 = 24 + 4.7 = 28.7. - Next, the expression (41 - 13) + 7 + 2:
28 + 7 + 2 = 37. - Then, for 4(13 - 8) - 2.9 + 3:
4(5) - 2.9 + 3 = 20 - 2.9 + 3 = 20.1. - Finally, the expression (4 + 5)2 - 42 is a bit tricky because of the typo. Assuming it implies (4 + 5)^2 - 42, it would be:
9^2 - 42 = 81 - 42 = 39. If it's to be understood differently, clarification is needed. - And 7.5 - 4 + 1:
3.5 + 1 = 4.5.
Be cautious to follow the order of operations and simplify each step thoroughly before moving on to the next. Eliminate terms wherever possible and always check your final answer to see if it is reasonable.