What is the simplified value of the expression below?
$4.2+0.6 \div 3-5(0.9-0.5)$
Answer (2)
Simplify inside the parentheses: 0.9 − 0.5 = 0.4 .
Perform the division: $0.6
div 3 = 0.2$.
Perform the multiplication: $5
times 0.4 = 2$.
Perform the addition and subtraction: 4.2 + 0.2 − 2 = 2.4 .
The simplified value of the expression is 2.4 .
Explanation
Understanding the Expression We need to simplify the expression $4.2+0.6
div 3-5(0.9-0.5)$ using the order of operations (PEMDAS/BODMAS). This means we'll handle parentheses first, then division and multiplication, and finally addition and subtraction.
Simplifying Parentheses First, let's simplify the expression inside the parentheses: 0.9 − 0.5 = 0.4
Performing Division Now, let's perform the division: 0.6 d i v 3 = 0.2
Performing Multiplication Next, we perform the multiplication: 5 t im es 0.4 = 2
Performing Addition and Subtraction Now we can perform the addition and subtraction from left to right: 4.2 + 0.2 − 2
4.4 − 2 = 2.4
Final Answer So, the simplified value of the expression is 2.4.
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses or managing budgets. For instance, if you're calculating the total cost of items with discounts and taxes, you need to follow the correct order to get an accurate result. Imagine you're buying a shirt that costs $4.2, and there's a discount of 50% on a $0.4 item, and a service fee of $0.2. The expression 4.2 + 0.2 − 5 ( 0.9 − 0.5 ) helps you calculate the final amount you'll pay, ensuring you apply the discount before adding other costs. This concept is also applicable in more complex financial calculations, such as determining investment returns or calculating loan payments.
The simplified value of the expression 4.2 + 0.6 ÷ 3 − 5 ( 0.9 − 0.5 ) is 2.4 . We achieved this by following the order of operations to handle parentheses, division, multiplication, and finally addition and subtraction. After calculations, the final result is 2.4 .
;
