What is the simplified value of the expression below?
$8.2+4.1(6.3-4)$
Answer (2)
Calculate the value inside the parentheses: 6.3 − 4 = 2.3 .
Multiply the result by 4.1 : 4.1 × 2.3 = 9.43 .
Add 8.2 to the result: 8.2 + 9.43 = 17.63 .
The simplified value of the expression is 17.63 .
Explanation
Understanding the Problem We are asked to simplify the expression 8.2 + 4.1 ( 6.3 − 4 ) and find its value. We will follow the order of operations (PEMDAS/BODMAS) to solve this problem.
Calculate Inside Parentheses First, we need to calculate the value inside the parentheses: 6.3 − 4 = 2.3 .
Perform Multiplication Next, we multiply the result by 4.1 : 4.1 × 2.3 = 9.43 .
Perform Addition Finally, we add 8.2 to the result: 8.2 + 9.43 = 17.63 .
Final Answer Therefore, the simplified value of the expression is 17.63 .
Examples
Understanding order of operations is crucial in many real-life scenarios, such as calculating expenses. For example, if you buy a product for $8.2 and also buy 4.1 meters of fabric that costs $2.3 per meter, the total cost would be calculated as $8.2 + 4.1 \times 2.3 = $17.63. This ensures accurate budgeting and financial planning.
The simplified value of the expression 8.2 + 4.1 ( 6.3 − 4 ) is 17.63 . This is found by first calculating the value inside the parentheses, then performing the multiplication, and finally adding the results together. Following the order of operations is important in obtaining the correct answer.
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